Springer Customized Book List...Oct 09, 2007 · include Calderón-Zygmund decompositions, L^2...

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2007

Springer Customized Book ListMathematics

springer.com/booksellers Mathematics 1

Nexus Network Journal 9,2

Architecture and Mathematics

This volume is dedicated to "Mechanics in Architec-ture", that is, the science of structural mechanics, in-cluding the behaviour of structures, internal forces,and deformation, as well as the development of newstructural systems to resist thrusts as a result of newarchitectural forms. It is a field of enquiry that exam-ines a particular aspect of the relationships betweenarchitecture and the mathematical sciences. Some ofthe papers in this issue were presented at the Nexus2006 conference during a special session dedicated tomechanics. Other research papers focus on an eigh-teenth-century Belgian pyramid, aspects of "fractal"architecture, and properties of a family of irrationalvalues. The issue also includes a description andevaluation of a university-level course in architectureand mathematics, Rachel Fletcher's Geometer's An-gle column, and book reviews.

Contents

Letter from the Editor.- Mario Salvadori and Mau-ro Picone: From Student and Teacher to Profession-al Fellowship.- Milankovitch’s Theorie der Druck-kurven: Good Mechanics for Masonry Architecture.-Oval Domes.- Ramparts in the Sixteenth century:Architecture, "Mathematics" and Urban Design.-Tentare licet: The Theresian Academy Question onthe Theory of Beams of 1783.- Nexorades Based onRegular Polyhedra.- A Pyramid Inspired by Mathe-matics.- Architecture Could Be Good for You.- Poly-gons, Diagonals, and the Bronze Mean.- Dynam-ic Root Rectangles Part One: The Fundamentals.-Mathematical [..]

Fields of interest

Applications of Mathematics

Target groups

Architects, mathematicians and everyone interestedin the subject

Type of publication

Contributed volume

Due October 2007

2007. Approx. 150 p. (Nexus Network Journal, Vol. 9,2) Softcover

49,90 €

ISBN 978-3-7643-8444-9

R.P. Agarwal, Florida Institute of Technology, Melbourne, FL,

USA; D. O'Regan, National University of Ireland, Galway, Ireland

An Introduction to Ordinary

Differential Equations

Ordinary differential equations serve as mathemat-ical models for many exciting real world problems.Rapid growth in the theory and applications of dif-ferential equations has resulted in a continued in-terest in their study by students in many disciplines.Key Features of this textbook: Organizes materialaround theorems and proofs; Comprises of 42 class-tested lectures that effectively convey the subject ineasily manageable sections; Presentation is drivenby detailed examples that illustrate how the subjectworks; Includes numerous exercise sets, with an “an-swers and hints” section; Provides a background andhistory of the subject through interesting preliminarylectures; The rich array of topics allows for flexibili-ty in developing the subject beyond the basics. Thisbook is ideal for a senior undergraduate or a gradu-ate level course on ordinary differential equations.Prerequisites include a course in calculus. The bookwill also be of interest to users of ordinary differen-tial equations and [..]

Contents

Preface.- Solvable Differential Equations.- SecondOrder Differential Equations.- Preliminaries to Se-ries Solutions.- Solution at an Ordinary Point.- So-lution at a Singular Point.- Solution at a SingularPoint (Contd.).- Legendre Polynomials and Func-tions.- Chebyshev, Hermite and Laguerre Polynomi-als.- Bessel Functions.- Hypergeometric Functions.-Piecewise Continuous and Periodic Functions.- Or-thogonal Functions and Polynomials.- OrthogonalFunctions and Polynomials (contd.).- Boundary Val-ue Problems.- Boundary Value Problems (contd.).-Green's Functions.- Regular Perturbations.- [..]

Fields of interest

Ordinary Differential Equations; Partial DifferentialEquations; Appl.Mathematics/Computational Meth-ods of Engineering

Target groups

Senior undergraduates, graduate students, mathe-maticians

Type of publication

Graduate/advanced undergraduate textbook

Due January 2008

2008. XIV, 322 pp. 8 illus. (Universitext) Softcover

46,20 €

ISBN 978-0-387-71275-8

R.P. Agarwal, Florida Institute of Technology, Melbourne, FL,

USA; D. O'Regan, National University of Ireland, Galway, Ireland;

D.R. Sahu, Shri Shankaracharya College of Engineering and Tech-

nology, Bhilai, India

Fixed Point Theory for Lipschitzian-

type Mappings with Applications

Over the past few decades, fixed point theory has de-veloped into an important field of study in both pureand applied mathematics. This book aims to presentmany of the basic techniques and results in this the-ory. The first three chapters present the basic resultsand preliminary topics which are later used to devel-op the presentation. Mappings in metric and Banachspaces are then discussed in terms of the problem ofexistence, theory of iterative processes for comput-ing fixed points and convergence theorems. The finalchapter discusses several applicable problems arisingin related fields. Each chapter includes a briefintroduction and exercises at the end. This self-con-tained monograph will be of interest to researchersand graduate students working in this area.

Features

Presents many basic techniques and results in fixedpoint theory Self-contained presentation Good grad-uate text with exercises at the end of each chapter

Contents

Preface.- Fundamentals.- Convexity, Smoothnessand Duality Mappings.- Geometrical Coefficientsof Banach Spaces.- Existence Theorems in MetricSpaces.- Asymptotic Existence Theorems.- Approx-imation of Fixed Points.- Strong Convergence The-orems.- Applications of Fixed Point Theorems.- Ap-pendix.- References.- Index.

Fields of interest

Functional Analysis; Analysis; Topology

Target groups

Researchers, graduate students

Type of publication

Monograph

Due August 2008

2008. Approx. 360 p. Hardcover

61,60 €

ISBN 978-0-387-75817-6

2 Mathematics springer.com/booksellers

R.P. Agarwal, Florida Institute of Technology, Melbourne, Flori-

da, USA; S. Ding, Seattle University, Seattle, Washington, USA; C.

Nolder, Florida State University, Tallahassee, Florida, USA

Inequalities for Differential Forms

Differential forms satisfying the A-harmonicequations have found wide applications infields such as general relativity, theory of elastici-ty, quasiconformal analysis, differential geometry,and nonlinear differential equations in domains onmanifolds. This monograph is the first one to sys-tematically present a series of local and global esti-mates and inequalities for such differentialforms in particular. It concentrates on theHardy-Littlewood, Poincare, Cacciooli, imbeddedand reverse Holder inequalities. Integral esti-mates for operators, such as homotopy operator, theLaplace-Beltrami operator, and the gradient operatorare also presented. Additionally, some relat-ed topics such as BMO inequalities, Lipschitz class-es, Orlicz spaces and inequalities in Carnot groupsare discussed in the concluding chapter. Anabundance of bibliographical references and his-torical material supplement the text throughout.This book will serve as an invaluable referencefor [..]

Features

Bridges the gap in literature and research on in-equalities and estimates for differential formssatisfying A-harmonic equations Provides exten-sions of one dimensional results in realspace and the application of these results indifferent geometric structures on differentiable man-ifolds Well-written documentation of up-to-date ad-vances in the subject Invaluable as a reference workfor [..]

Contents

Hardy-Littlewood Inequalities.- Norm ComparisonTheorems.- Poincare-type inequalities.- Cacciop-poli Inequalities.- Imbedding Inequalities.- ReverseHolder Inequaltiies.- Estimates for Jacobians.- In-equalities for Operators.- Some related topics.- Bibli-ography.- Index

Fields of interest

Differential Geometry; Partial Differential Equations;Integral Transforms, Operational Calculus; Analysis;Operator Theory

Target groups

Researchers, instructors and students in math-ematics or theoretical physics

Type of publication

Monograph

Due May 2008


62,95 €

ISBN 978-0-387-36034-8

H. Aimar, IMAL-CONICET, FIQ Universidad Nacional del Litoral,

Santa Fe, Argentina

Distance and Measure in Analysis

and Partial Differential Equations

This comprehensive exploration of a metric ap-proach to some relevant problems and techniquesin analysis focuses on examining spaces of homo-geneous type. Both the structural and analyticalproblems under consideration reflect very active ar-eas of current research. The exposition, motivatedby examples and details of which many cannot befound elsewhere in book form, unfolds systematical-ly in three parts, starting from such preliminaries asthe basic structures of quasi-metric spaces, the ho-mogeneity property and measure theory. More ad-vanced topics are then covered, including Calderón-Zygmund decompositions, L^2 techniques, weightednorm inequalities, BMO, and Hardy spaces. The finalaim is to encourage a well-developed way of thinkingabout some mathematical and even physical prob-lems, i.e. Newtonian and Riesz potentials, fields andtheir derivatives, mean value and Harnack inequali-ties related to Hölder regularity, wavelet type analysison non-euclidian contexts, etc. The book is suitablefor [..]

Features

Provides a comprehensive examination of spacesof a homogenous type Discussion opens with basicstructures of quasi-metric spaces, the homogeneityproperty and measure theory More advanced topicsinclude Calderón-Zygmund decompositions, L^2techniques, weighted norm inequalities, BMO, andHardy spaces The problems considered reflect veryactive areas of current research

Fields of interest

Abstract Harmonic Analysis; Measure and Integra-tion; Partial Differential Equations

Target groups

graduate students, intructors, researchers

Type of publication


Due September 2009

2009. 20 illus. (Applied and Numerical Harmonic Analysis) Hard-

cover

58,00 €

ISBN 978-0-8176-4315-7

M.A. Al-Gwaiz, King Saud University, Riyadh, Saudi Arabia

Sturm-Liouville Theory and its

Applications

Developed from a course taught to senior under-graduates, this book provides a unified introductionto Fourier analysis and special functions based on theSturm-Liouville theory in L2. The treatment reliesheavily on the convergence properties of sequencesand series of numbers as well as functions, and as-sumes a solid background in advanced calculus andan acquaintance with ordinary differential equationsand linear algebra. Familiarity with the relevant the-orems of real analysis, such as the Ascoli–Arzelà the-orem, is also useful for following the proofs. The pre-sentation follows a clear and rigorous mathematicalstyle that is both readable and well motivated, withmany examples and applications used to illustratethe theory. Although addressed primarily to under-graduate students of mathematics, the book will alsobe of interest to students in related disciplines, suchas physics and engineering, where Fourier analysisand special functions are used extensively for solvinglinear differential equations.

Features

Provides a rigorous introduction to the theory at alevel suitable for undergraduates Includes plenty ofclearly-worked examples and exercises with solutionsthereby making the book well-suited for self-studyDesigned to accompany a one-semester course, thebook will prepare readers for a course on PDEs

Contents

Inner product space.- The Sturm-Liouville the-ory.- Fourier series.- Orthogonal polynomials.-Bessel functions.- The Fourier transformation.- TheLaplace transformation.- Solutions to selected exer-cises.- References.- Notation.- Index.

Fields of interest

Analysis; Functional Analysis; Special Functions; Or-dinary Differential Equations; Appl.Mathematics/Computational Methods of Engineering; Mathemati-cal Methods in Physics

Target groups

Undergraduate students in mathematics; undergrad-uate students in physics and engineering; lecturers

Type of publication

Undergraduate textbook

Due December 2007

2008. Approx. 270pp. (Springer Undergraduate Mathematics Se-

ries) Softcover

32,95 €

ISBN 978-1-84628-971-2


A. Aldashev, Kirghiz Institute of Cardiology, Bishkek, Kyrgyz Re-

public; R. Naeije, Free University of Brussels, Belgium (Eds.)

Problems of High Altitude Medicine

and Biology

This book is directly derived from a NATO-spon-sored international meeting on problems of high al-titude medicine and biology, which was held on theshores of lake of Issyk-Kul, in Kyrghyzstan, in June5-6, 2006. It was a surprise for several European andNorth and South-American scientists to discover thestill on-going momentum high level altitude physiol-ogy research, which was extremely active but insuf-ficiently acknowledged in this remote Central Asiancountry at the time of the USSR. Accordingly, thesetting was perfect for numerous positive scientificinteractions, exchanges of ideas, and structuring ofnew international collaborations. Overall, the meet-ing was an ideal mix of cell biology, integrative phys-iology and medical applications. Hypoxia is and re-mains a major public health issue in many populatedmountainous areas all over the world. We are surethat this book will be become a long-lasting essentialreference.

Features

Current research on molecular pathways affected byhypoxic exposure Pathophysiological understandingof the adaptation of the human body to oxygen de-privation High altitude as a public health problemPrevention of high altitude induced or associateddiseases Treatment of high altitude illnesses

Contents

1. 45 Years of mountain medicine.- 2. High altitudepulmonary hypertension and chronic mountain sick-ness.- 3. The Cellular effects of hypoxia on the pul-monary circulation.- 4. Angiogenesis and chronichypoxic pulmonary hypertension.- 5. Tetrahydro-biopterin and pulmonary hypertension.- 6. Hypox-ia-induced proliferation of human pulmonary arte-rial smooth muscle cell is involved in the suppres-sion of cyclin-dependent kinase inhibitors.- 7. Pul-monary adaptation to high altitude in wild mam-mals.- 8. Lung at high altitude: between physiologyand pathology.- 9. Sildenafil and hypoxic pulmonary[..]

Fields of interest

Physiological, Cellular and Medical Topics; SportsMedicine; Pneumology/Respiratory System; Cardiol-ogy

Target groups

Fundamental scientists interested in the effects of hy-poxia, medical doctors in charge of high altitude re-lated problems

Type of publication

Proceedings

Due October 2007

2007. VII, 306 p. (NATO Science for Peace and Security Series A:

Chemistry and Biology) Softcover

59,95 €

ISBN 978-1-4020-6299-5

A. Aldashev, Kirghiz Institute of Cardiology, Bishkek, Kyrgyz Re-

public; R. Naeije, Free University of Brussels, Belgium (Eds.)

Problems of High Altitude Medicine

and Biology

This book is directly derived from a NATO-spon-sored international meeting on problems of high al-titude medicine and biology, which was held on theshores of lake of Issyk-Kul, in Kyrghyzstan, in June5-6, 2006. It was a surprise for several European andNorth and South-American scientists to discover thestill on-going momentum high level altitude physiol-ogy research, which was extremely active but insuf-ficiently acknowledged in this remote Central Asiancountry at the time of the USSR. Accordingly, thesetting was perfect for numerous positive scientificinteractions, exchanges of ideas, and structuring ofnew international collaborations. Overall, the meet-ing was an ideal mix of cell biology, integrative phys-iology and medical applications. Hypoxia is and re-mains a major public health issue in many populatedmountainous areas all over the world. We are surethat this book will be become a long-lasting essentialreference.

Features

Current research on molecular pathways affected byhypoxic exposure Pathophysiological understandingof the adaptation of the human body to oxygen de-privation High altitude as a public health problemPrevention of high altitude induced or associateddiseases Treatment of high altitude illnesses

Fields of interest

Physiological, Cellular and Medical Topics; SportsMedicine; Pneumology/Respiratory System; Cardiol-ogy

Target groups

Fundamental scientists interested in the effects of hy-poxia, medical doctors in charge of high altitude re-lated problems

Type of publication

Proceedings

Due October 2007

2007. VII, 306 p. (NATO Science for Peace and Security Series A:

Chemistry and Biology) Hardcover

139,95 €

ISBN 978-1-4020-6298-8

S.V. Alekseenko, Russian Academy of Sciences, Novosibirsk, Rus-

sia; P.A. Kuibin, Russian Academy of Sciences, Novosibirsk, Rus-

sia; V.L. Okulov, Russian Academy of Sciences, Novosibirsk, Russia

Theory of Concentrated Vortices

An Introduction

This book presents comprehensive and authorita-tive coverage of the wide field of concentrated vor-tices observed in nature and technique. The meth-ods for research of their kinematics and dynamicsare considered. Special attention is paid to the flowswith helical symmetry. The authors have describedmodels of vortex structures used for interpretationof experimental data which serve as a ground for de-velopment of theoretical and numerical approachesto vortex investigation. Achievements in the fields ofstability analysis, waves on vortices and vortex break-down are also presented.

Features

Clear and concise introduction to the theory of con-centrated vortices Presents basic elements of vortexmotion: waves, shear flows, helical motion (twisters)Nonlinearity effects are analyzed such as vortexbreakdown, self-induced motion of vortices such asvortex rings, helical vortices and real swirl flows

Contents

Equations and Laws of Vortex motion.- Vortex Fil-aments.- Model of Vortex Structures.- Stability andwaves in Columnar Vortices.- Dynamics of VortexFilaments.- Dynamics of two-dimensional vortexstructures.- Experimental observation of concentrat-ed vortices in vortex apparatuses.

Fields of interest

Vibration, Dynamical Systems, Control; NonlinearDynamics, Complex Systems, Chaos, Neural Net-works; Engineering Fluid Dynamics; Fluids; Analysis

Target groups

Researchers and engineers concerned with vortexflows as well as academics, post-graduates, and stu-dents of universities.

Type of publication

Monograph

Due October 2007

2007. XII, 494 p. 233 illus., 8 in color. Hardcover

129,95 €

ISBN 978-3-540-73375-1


T. Aliev, Middle East Technical University, Ankara, Turkey; N.K.

Pak, Middle East Technical University, Ankara, Turkey; M. Serin,

Middle East Technical University, Ankara, Turkey (Eds.)

The Standard Model and Beyond

Proceedings of the 2nd Int. Summer School in High Energy

Physics, Mugla, 25-30 September 2006

This volume collects the edited tutorial lectures giv-en at The Second International Summer School inHigh Energy Physics in Mgla, Turkey, in September2006 - an annual event with international participa-tion and a special focus on work done in the regionsof central Asia. With emphasis on the standard mod-el and beyond, lectures were devoted to presentingan introduction and update to many of the relevanttopics, such as chiral perturbation theory, the Higgsmechanism, heavy flavour and b physics, CP viola-tion, the AdS/CFT correspondence, ideas on grandunification and neutrino physics and astrophysics.

Contents

Introduction to Chiral Perturbation Theory.- Intro-duction to Higgs Sector: Theory and Phenomenolo-gy.- Heavy Flavor and B Physcis.- Violation: Experi-mental Results in B Decays.- Worldline Formalismand It's Application to AdS/CFT Correspondence.-Course on Grand Unification.- Neutrino Physics andAstrophysics: Highlights.

Fields of interest

Elementary Particles, Quantum Field Theory;Physics beyond the Standard Model

Target groups

Libraries

Type of publication

Proceedings

Due October 2007

2008. IX, 196 p. 50 illus. (Springer Proceedings in Physics, Vol.

118) Hardcover

169,95 €

ISBN 978-3-540-73620-2

G. Allaire, École Polytechnique Palaiseau, France; S.M. Kaber, Uni-

versité Pierre et Marie Curie, Lab. Jacques-Louis Lions, France

Numerical Linear Algebra

This book brings together linear algebra, numericalmethods and an easy to use programming environ-ment under Matlab (and Scilab). One of the key fea-tures of the book is the worked out examples and ex-ercises at the end of each chapter. The reader is askedto do some numerical experiments in Matlab andthen to prove the results theoretically. The book is acombination and update of two earlier French booksby the authors. It is appropriate for both undergrad-uate and beginning graduate courses in mathematicsas well as for working scientists and engineers as aself-study tool and reference. A solutions manual isavailable for instructors.

Features

Combination of two books Uses both MATLAB andSciLab software Covers core standard material Excel-lent variety of exercises Scilab exercises also includedonline Well-known authors

Contents

Definition and Properties of Matrices.- MatrixNorms, Sequences and Series.- Introduction to Algo-rithmics.- Linear Systems.- Direct Methods for Lin-ear Systems.- Least Squares Problems.- Simple Itera-tive Methods.- Conjugate Gradient Method.- Gener-alities on Eigenvalue Problems.- Methods for Com-puting Eigenvalues.- Solutions and Programs.- Ref-erences.

Fields of interest

Numerical Analysis; Applications of Mathematics

Target groups

Undergraduate and beginning graduate students, aswell as working scientists and engineers

Type of publication


Due December 2007

2007. Approx. 400 p. (Texts in Applied Mathematics, Vol. 55)

Hardcover

49,95 €

ISBN 978-0-387-34159-0

L. Almasy, Southwest Foundation for Biomedical Research, San

Antonio, TX (Ed.)

Statistical Genetics

Fields of interest

Genetics and Population Dynamics

Type of publication

Contributed volume

Due October 2009

2008. (Methods in Molecular Biology, Preliminary entry 2145)

Hardcover

74,95 €

ISBN 978-1-58829-728-0


C.J.S. Alves, Instituto Superior Tecnico, Lisboa, Portugal; P.M.

Pardalos, University of Florida, Gainesville, FL, USA; L.N. Vicente,

Universidade de Coimbra, Coimbra, Portugal (Eds.)

Optimization in Medicine

Optimization has become an essential tool in ad-dressing the limitation of resources and need forbetter decision-making in the medical field. Bothcontinuous and discrete mathematical techniquesare playing an increasingly important role in under-standing several fundamental problems in medicine.This volume presents a wide range of medical appli-cations that can utilize mathematical computing. Ex-amples include using an algorithm for consideringthe seed reconstruction problem in brachytherapyand using optimization-classification models to as-sist in the early prediction, diagnosis and detectionof diseases. Discrete optimization techniques andmeasures derived from the theory of nonlinear dy-namics, with analysis of multi-electrode electroen-cephalographic (EEG) data, assist in predicting im-pending epileptic seizures. Mathematics in medicinecan also be found in recent cancer research. Sophis-ticated mathematical models and optimization algo-rithms have been used to generate treatment plansfor [..]

Features

Presents state-of-the-art research in optimization inmedicine Discusses a variety of medical topics andmathematical techniques Numerous applicationsinclude radiotherapy treatment design, ultrasoundsurgery, and epileptic seizures Has no directly com-petitive literature

Contents

Introduction.- Randomized Algorithms for MixedMatching and Covering in Hypergraphs in 3-D SeedReconstruction in Brachytherapy.- Decomposition ofMatrices and Static Multileaf Collimators: A Survey.-The Influence of Dose Grid Resolution on Beam Se-lection Strategies in Radiotherapy Treatment De-sign.- Neuro-Dynamic Programming for Fraction-ated Radiotherapy Programming.- Optimal Con-trol in High Intensity Focused Ultrasound Surgery.-Optimal Reconstruction Kernels in Medical Imag-ing.- Global Optimization and Spacial Synchroniza-tion Changes Prior to Epileptic Seizures.- Optimiza-tion-Based [..]

Fields of interest

Calculus of Variations and Optimal Control; Opti-mization; Imaging / Radiology

Target groups

Researchers in applied mathematics and optimiza-tion, researchers in the medical computing commu-nity, graduate students

Type of publication

Contributed volume

Due February 2008

2008. XVI, 200 pp. (Springer Optimization and Its Applications,

Vol. 12) Hardcover

84,95 €

ISBN 978-0-387-73298-5

H. Amann, Universität Zürich, Switzerland; W. Arendt, Universität

Ulm, Germany; M. Hieber, TU Darmstadt, Germany; F. Neubran-

der, Lousiana State University, Baton Rouge, LA, USA; S. Nicaise,

Université Valenciennes, France; J.v. Below, Université du Littoral,

Calais, France (Eds.)

Functional Analysis and Evolution

Equations

Dedicated to Günter Lumer

Gunter Lumer was an outstanding mathematicianwhose works have great influence on the researchcommunity in mathematical analysis and evolutionequations. He was at the origin of the breath-tak-ing development the theory of semigroups saw afterthe pioneering book of Hille and Phillips from 1957.This volume contains invited contributions present-ing the state of the art of these topics and reflectingthe broad interests of Gunter Lumer.

Features

Particular care is taken of the many applications tolinear and nonlinear partial differential equationsand concrete evolutionary models from natural sci-ences and technology

Contents

Preface.- Gunter Lumer.- Publications of GunterLumer.- Research contributions.

Fields of interest

Partial Differential Equations

Target groups

Researchers in analysis

Type of publication

Commemorative publication

Due December 2007


99,00 €

ISBN 978-3-7643-7793-9

H. Amann, Universität Zürich, Switzerland; J. Escher, Universität

Hannover, Germany

Analysis II

The second volume of this introduction into analysisdeals with the integration theory of functions of onevariable, the multidimensional differential calculusand the theory of curves and line integrals. The mod-ern and clear development that started in Volume I(3-7643-7153-6) continues. In this way a sustainablebasis will be created which allows to deal with inter-esting applications that sometimes go considerablybeyond the material that is represented in tradition-al textbooks. This applies, for instance, to the explo-ration of Nemytskii operators which enable a trans-parent introduction into the calculus of variationsand the derivation of the Euler-Lagrange equations.Another example is the presentation of the local the-ory of submanifolds of Rn.

Features

Cauchy’s integral theorems and the theory of holo-morphic functions including the homological ver-sion of the residue theorem are derived as an appli-cation of the theory of line integrals In addition tothe calculation of important definite integrals whichappear in Mathematics and in Physics, theoreticproperties of the Gamma function and Riemann’sZeta function are explored Numerous examples withvarying [..]

Contents

Preface.- VI. Integral Calculus in One Variable - 1.Step Continuous Functions - 2. Continuous Exten-sions - 3. The Cauchy-Riemann Integral - 4. Prop-erties of the Integral - 5. The Technology of Inte-gration - 6. Sums and Integrals - 7. Fourier Series -8. Improper Integrals - 9. The Gamma Function.-VII. Differential Calculus in Several Variables - 1.Continuous Linear Mappings - 2. Differentiability -3. Calculation Rules - 4. Multilinear Mappings - 5.Higher Derivatives - 6. Nemytski Operators and Cal-culus of Variations - 7. Inverse Mappings - 8. Implic-it Functions - 9. Manifolds - 10. [..]

Fields of interest

Analysis; Functions of a Complex Variable; SpecialFunctions; Functional Analysis; Mathematics, gener-al

Target groups

Advanced undergraduate and graduate students; ad-visors; teachers

Type of publication


Due April 2008

2007. Approx. 424 p. Softcover

58,00 €

ISBN 978-3-7643-7472-3


L. Ambrosio, Scuola Normale Superiore, Pisa, Italy; L. Caffarelli,

University of Texas at Austin, TX, USA; M.G. Crandall, University

of California, Santa Barbara, CA, USA; L.C. Evans, University of Cal-

ifornia, Berkeley, CA, USA; N. Fusco, Università di Napoli, Italia; B.

Dacorogna, École Polytechnique Fédérale de Lausanne, Suisse; P.

Marcellini, Università di Firenze, Italia (Eds.)

Calculus of Variations and

Nonlinear Partial Differential

Equations

Lectures given at the C.I.M.E. Summer School held in Cetraro,

Italy, June 27 - July 2, 2005

This volume provides the texts of lectures given by L.Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N.Fusco at the Summer course held in Cetraro (Italy)in 2005. These are introductory reports on currentresearch by world leaders in the fields of calculus ofvariations and partial differential equations. The top-ics discussed are transport equations for nonsmoothvector fields, homogenization, viscosity methods forthe infinite Laplacian, weak KAM theory and geo-metrical aspects of symmetrization. A histor-ical overview of all CIME courses on the calculus ofvariations and partial differential equations is con-tributed by Elvira Mascolo.

Contents

Preface by Bernard Dacorogna and Paolo Mar-cellini.- Luigi Ambrosio: Transport Equation andCauchy Problem for Non-Smooth Vector Fields.-Luis Caffarelli and Luis Silvestre: Issues in Ho-mogenization for Problems with non DivergenceStructure.- Michael G. Crandall: A Visit with the 8-Laplace Equation.- Lawrence C. Evans: Weak KAMTheory and Partial Differential Equations.- Nico-la Fusco: Geometrical Aspects of Symmetrization.-Elvira Mascolo: CIME Courses on Partial Differen-tial Equations and Calculus of Variations.

Fields of interest

Calculus of Variations and Optimal Control; Opti-mization; Partial Differential Equations

Target groups

Researchers and graduate students

Type of publication

Collection of essays

Due December 2007

2008. XII, 202 p. (Fondazione C.I.M.E., Firenze, Vol. 1927) Softcov-

er

39,95 €

ISBN 978-3-540-75913-3

H. Ammari, Ecole Polytechnique, CNRS, Palaiseau, France (Ed.)

Modeling and Computations in

Electromagnetics

A Volume Dedicated to Jean-Claude Nédélec

Modeling and computations in electromagneticsis a quite novel and growing discipline, expandingas a result of the steadily increasing demand for de-signing electrical devices, modeling electromagnet-ic materials, and simulating electromagnetic fieldsin nanoscale structures. The aim of this volume is tobring together prominent worldwide experts to re-view state-of-the-art developments and future trendsof modeling and computations in electromagnetics.This volume is devoted to merging the expertise ofscientists working in this dynamic discipline, andto raising interest for challenging issues. The mostsignificant advances in computational techniqueshave been made only in the last few years, and sever-al challenging technological applications are present-ed in this volume.

Fields of interest

Computational Mathematics and Numerical Analy-sis; Electromagnetism, Optics and Lasers; Numericaland Computational Methods in Engineering; Mathe-matical and Computational Physics

Target groups

Computational scientists

Type of publication

Proceedings

Due October 2007

2008. IX, 229 p. 74 illus. (Lecture Notes in Computational Science

and Engineering, Vol. 59) Softcover

59,95 €

ISBN 978-3-540-73777-3

T.G. Andersen, Kellogg School of Management, Evanston, IL,

USA; R.A. Davis, Colorado State University, Ft. Collins, CO, USA; J.-

P. Kreiß, TU Braunschweig, Germany; Th. Mikosch, University of

Copenhagen, Denmark (Eds.)

Handbook of Financial Time Series

The Handbook of Financial Time Series gives an up-to-date overview of the field and covers all relevanttopics both from a statistical and an econometricalpoint of view. Experts present among others vari-ous aspects of the important GARCH and StochasticVolatility classes, like for example distribution prop-erties, estimation, forecasting and extreme value the-ory. Moreover, since processes in continuous timeand cointegration play a very essential role in finan-cial modelling, both areas are addressed in detail. Fi-nally, recent developments in nonparametric meth-ods, copulas, structural breaks, high frequency da-ta and many more topics are included in the hand-book. Many outstanding authors have contributedto this encyclopaedia, making the volume an excel-lent source of reference for scientists and researchersworking in the field of financial time series.

Features

Editors very well known in their area of researchMany outstanding contributors Preamble by Nobelprize winner Robert F. Engle

Contents

Introduction - GARCH-Modelling - StochasticVolatility Modelling - Cointegration - ContinuousTime Processes - Miscellanea

Fields of interest

Statistics for Business/Economics/Mathematical Fi-nance/Insurance; Econometrics; Quantitative Fi-nance; Statistics and Computing/Statistics Programs

Target groups

Researchers and practitioners in statistics and econo-metrics

Type of publication

Handbook

Due April 2008


185,05 €

ISBN 978-3-540-71296-1


T. Andreescu, The University of Texas at Dallas, Richardson, TX,

USA; D. Andrica, "Babes-Bolyai" University, Cluj-Napoca, Romania

Number Theory

Structures, Examples, and Problems

One of the oldest, liveliest branches of mathematics,number theory is noted for its theoretical depth andapplications to other fields, including representationtheory, physics, and cryptography. The forefront ofnumber theory is replete with sophisticated and fa-mous open problems; at its foundation, however, arebasic, elementary ideas that can stimulate and chal-lenge beginning students. This introductory textbooktakes a problem-solving approach to number theory,situating each concept within the framework of anexample or a problem for readers to solve. Startingwith the essentials, the text covers divisibility, uniquefactorization, modular arithmetic and the ChineseRemainder Theorem, Diophantine equations, bino-mial coefficients, Fermat and Mersenne primes andother special numbers, special sequences, and prob-lems of density. Included are sections on mathemati-cal induction and the pigeonhole principle, as well asa discussion of other number systems. By emphasiz-ing examples and applications, [..]

Features

Approaches number theory from a problem solvingstandpoint, presenting each concept in the frame-work of an example or problem The text progressesincrementally from simpler to more complex princi-ples Covers modular arithmetic and the Chinese Re-mainder Theorem, Diophantine equations, binomialcoefficients, Fermat and Mersenne primes and otherspecial numbers, special sequences, and problems ofdensity Includes [..]

Contents

Preface.- Divisibility.- Powers of Integers.- FloorFunction and Fractional Part.- Digits of Numbers.-Basic Principles in Number Theory.- ArithmeticFunctions.- More on Divisibility.- DiophantineEquations.- Some Special Problems in Number The-ory.- Problems Involving Binomial Coefficients.-Miscellaneous.- Glossary.- References.- Index.

Fields of interest

Number Theory; Mathematics, general; Algebra;Combinatorics

Target groups

Undergraduates, advanced high school students, in-structors, general audience

Type of publication


Due June 2009

2009. Approx. 370 p. 150 illus. Hardcover

38,00 €

ISBN 978-0-8176-3245-8

T. Andreescu, The University of Texas at Dallas, Richardson, TX,

USA; D. Andrica, "Babes-Bolyai" University, Cluj-Napoca, Roma-

nia; Z. Sunik, Texas A&M University, College Station, TX, USA

Essential Linear Algebra with

Applications

A Problem-Solving Approach

Rooted in a pedagogically successful problem-solv-ing approach to linear algebra, this work fills a gapin the literature that is sharply divided between, onthe one end, elementary texts with only limited exer-cises and examples, and, at the other end, books tooadvanced in prerequisites and too specialized in fo-cus to appeal to a wide audience. Instead, it clearlydevelops the theoretical foundations of vector spaces,linear equations, matrix algebra, eigenvectors, andorthogonality, while simultaneously emphasizingapplications to fields such as biology, economics,computer graphics, electrical engineering, cryptogra-phy, and political science. Key features: * Intertwineddiscussion of linear algebra and geometry * Exam-ple-driven exposition; each section starts witha concise overview of important concepts, followedby a selection of fully-solved problems * Over 500problems are carefully selected for instructive appeal,elegance, and theoretical importance; roughly halfinclude complete [..]

Features

Numerous applications are treated in fields such ascomputer science, engineering, and the social sci-ences Over 500 problems (roughly half solved), of-ten presenting two or more solutions; one more fun-damental and elementary, the second more concep-tual and sophisticated Can serve as an introductoryor advanced undergraduate textbook, a supplemen-tary problem book, a reference work for profession-als, and a [..]

Contents

Preface.- Linear Phenomena and Euclidean Spacesof Small Dimension.- Concrete Vector Spaces.- Vec-tor Spaces and Subspaces.- Linear Transformations.-More Matrix Algebra and Determinants.- GeneralTheory of Linear Equations.- Eigenvectors.- Orthog-onality.- Forms.- Vector Spaces over Finite Fields.-Appendix A: Complex Numbers.- Appendix B: Poly-nomials over Complex Numbers.- References.- In-dex.

Fields of interest

Linear and Multilinear Algebras, Matrix Theo-ry; Algebra; Applications of Mathematics; GameTheory, Economics, Social and Behav. Sciences;Appl.Mathematics/Computational Methods of Engi-neering; Math Applications in Computer Science

Target groups

Undergraduates, advanced undergraduates, re-searchers, pure and applied mathematicians, en-gineers, computer scientists, social scientists,economists

Type of publication


Due November 2009


44,95 €

ISBN 978-0-8176-4360-7

T. Andreescu, University of Texas at Dallas, Richardson, TX, USA;

C. Mortici, University of Targoviste, Romania

Mathematical Bridges

Building bridges between classical results and con-temporary nonstandard problems, MathematicalBridges embraces important topics in analysis andalgebra from a problem-solving perspective. Blend-ing old and new techniques, tactics and strategiesused in solving challenging mathematical problems,readers will discover numerous genuine mathemat-ical gems throughout that will heighten their appre-ciation of the inherent beauty of mathematics. Mostof the problems are original to the authors and areintertwined in a well-motivated exposition drivenby representative examples. The book is structuredto assist the reader in formulating and proving con-jectures, as well as devising solutions to importantmathematical problems by making connections be-tween various concepts and ideas from different ar-eas of mathematics.

Features

Builds bridges between classical results and contem-porary nonstandard problems Embraces importanttopics in calculus, linear and abstract algebra, analy-sis and differential equations from a problem-solvingperspective Makes connections between various con-cepts from different areas of mathematics Studentsfrom high school juniors to college seniors interest-ed in math and mathematics competitions must havethis book

Contents

Preface.- Glossary of Notation.- Cardinality.- Densi-ty.- Lemma of the Closed Intervals.- Sequences Giv-en by Implicit Relations.- Recurrence Relations.-Complementary Sequences.- Quadratic Functions,Quadratic Equations.- Polynomial Functions Involv-ing Determinants.- A Decomposition Theorem Re-lated to the Rank of a Matrix.- Intermediate ValueProperty.- Uniform Continuity.- Toeplitz Theorem.-Derivatives and Functions Variation.- WeierstrassTheorem.- The Number e.- Riemann Sums, DarbouxSums.- References.- Subject Index.

Fields of interest

Algebra; Analysis; Mathematics, general; NumberTheory; Linear and Multilinear Algebras, MatrixTheory; Mathematical Logic and Foundations

Target groups

Instructors and educators teaching problem-solvingcourses or organizing mathematics clubs; mathemat-ics students from high school juniors to college se-niors; students desiring to hone and develop theirmathematical skills

Type of publication


Due October 2008

2008. Approx. 300 p. 20 illus. Softcover

38,50 €

ISBN 978-0-8176-4394-2


T. Andreescu, University of Texas at Dallas; D. Andrica, University

Cluj-Napoca, Romania

Quadratic Diophantine Equations

This text treats the classical theory of quadratic dio-phantine equations and guides the reader throughthe last two decades of computational techniquesand progress in the area. These new techniques com-bined with the latest increases in computationalpower shed new light on important open problems.Key features: Motivates the study of quadratic dio-phantine equations with excellent examples andopen problems Examines Pell’s equation and its gen-eralizations Presents important quadratic diophan-tine equations and applications Computational tech-niques solve classical and outstanding problems Thebook is intended for advanced undergraduate andgraduate students as well as researchers. It challengesthe reader to apply not only specific techniques andstrategies, but also to employ methods and toolsfrom other areas of mathematics, such as algebra andanalysis.

Features

Includes both theoretical and computational exam-ples Explores new computational techniques forquadratic diophantine equations Techniques pre-sented will shed light on important open problems

Contents

Introduction.-Why Pell’s equation?.-Two usefultechniques: continued fractions and quadratic rings.-Pell’s equation.-General Pell’s equation.-Equationsreducible to Pell’s equation.-Diophantine represen-tations of some sequences.-Other applications.-Glos-sary.-References.-Index.

Fields of interest

Number Theory; Algebra

Target groups

Advanced undergraduate and graduate students, andresearchers in mathematics

Type of publication


Due December 2007

2008. Approx. 250 p. 20 illus. (Springer Monographs in Mathe-

matics) Softcover

46,95 €

ISBN 978-0-387-35156-8

T. Andreescu, University of Texas at Dallas; D. Andrica, University

Cluj-Napoca, Romania; I. Cucurezeanu, Revista de matematica si

informatica din Constanta, Romania

Introduction to Diophantine

Equations

This book is an introduction to the study of Dio-phantine equations, a class of equations in whichonly integer solutions are allowed. The materialis organized in two parts. Part I introducesthe reader to elementary methods necessaryin solving Diophantine equations, such asthe decomposition method, inequalities, the para-metric method, modular arithmetic, mathemati-cal induction, Fermat's method of infinite descent,and the method of quadratic fields. The presen-tation includes some classical Diophantineequations, including linear, Pythagorean and somehigher degree equations, as well as exponential Dio-phantine equations. Part II contains complete so-lutions to all exercises featured in Part I. Many ofthe selected exercises and problems are originalor are presented with original solutions.This work is intended for undergraduates,high school students and their teachers, mathematicscontests participants (including Olympiad and Put-nam competitors), as well as [..]

Features

Provides reader with the main elementary meth-ods necessary in solving Diophantine equationsApproaches Diophantine equations from a prob-lem-solving standpoint, including some original ex-ercises and solutions Covers classical Diophantineequations, including linear, Pythagorean and higherdegree equations, as well as exponential Diophantineequations

Contents

Preface.-Part 1: Diophantine Equations.-ElementaryMethods for Solving Diophantine Equations.-SomeClassical Diophantine Equation.-Pell’s-Type Equa-tions.-Part 2: Solutions to Exercises and Prob-lems.-Elementary Methods for Solving Diophan-tine Equations.-Some Classical Diophantine Equa-tion.-Pell’s-Type Equations.-References.-Index.

Fields of interest

Number Theory; Algebra

Target groups

Undergraduates, high school students, their teachers,and mathematical contest participants

Type of publication


Due August 2009


ISBN 978-0-8176-4548-9

A.M. Andrew

A Missing Link in Cybernetics

Logic and Continuity

The relative failure of attempts to analyze and mod-el intelligence can be attributed in part to the cus-tomary assumption that the processing of continu-ous variables and the manipulation of discrete con-cepts should be treated separately. In this book, theauthor considers concept-based thought as havingevolved from processing of continuous variables.Although "fuzzy" theory acknowledges the need tocombine conceptual and continuous processing, itsassumption of the primacy of concept-based process-ing makes it evolutionarily implausible. The text be-gins by reviewing the origins and aims of cybernet-ics with particular reference to Warren McCulloch’sdeclared lifetime quest of "understanding man’s un-derstanding". It is shown that continuous systemscan undergo complex self-organization, but a needfor classification of situations becomes apparent andcan be seen as the evolutionary beginning of con-cept-based processing. Possibilities for complex self-organization are emphasized by discussion of a [..]

Features

Advances an alternative approach to analyze andmodel intelligence Systematically presented

Contents

Preface.- Cybernetics: Origins and Aims.- Where toStart?- Continuous Versus Discrete.- Adaptation,Self-Organization, and Learning.- Significance Feed-back.- Self-Reference.- Fractal Intelligence.- Conclu-sions.- References.

Fields of interest

Artificial Intelligence (incl. Robotics); Applicationsof Mathematics; Systems Theory, Control

Target groups

Researchers in AI, cybernetics, and systems science,graduate students

Type of publication

Monograph

Due August 2008

2008. Approx 230 p. (IFSR International Series on Systems Sci-

ence and Engineering, Vol. 27) Hardcover

69,30 €

ISBN 978-0-387-75163-4


H. Andréka, Hungarian Academy of Sciences, Budapest, Hungary;

I. Németi, Hungarian Academy of Sciences, Budapest, Hungary; I.

Sain, Hungarian Academy of Sciences, Budapest, Hungary

Universal Algebraic Logic

Dedicated to the Unity of Science

The three main themes of this book are (i) univer-sal logic and the question of what logic is, (ii) univer-sal algebraic logic and duality theories between theworld of logics and the world of algebra, and (iii) al-gebraic logic proper including algebras of relationsof various ranks, Tarski's cylindric algebras, relationalgebras, Halmos' polyadic algebras and other kindsof algebras of logic. Besides Tarskian algebraizationsof logics, category theoretical perspectives are alsotouched upon. Following the Tarskian tradition, be-sides the connections between logic and algebra, re-lated logical connections with geometry and eventu-ally spacetime geometry leading up to relativity arealso part of the perspective of the book. An introduc-tory chapter contains the necessary algebraic basics,this can be used in its own right as a quick introduc-tion to universal algebra.

Features

Introduction to algebraic basics Connects logic withalgebra

Contents

1. Introduction.- 2. Notation, elementary concepts.-3. Basics from universal algebra.- 4. General frame-work for studying logics.- 5. Bridge between theworld of logics and the world of algebras.- 6. Gener-alizations.- 7. Further equivalence results (definabil-ity, interpolation, omitting types).- 8. New kinds oflogics 9. The guarded fragment and its finite variablehierarchy.- 10. Distinguished algebras of logic.- 11.Applications of the algebraic results to logic (via ourbridge).- 12. Connections with set theory and foun-dational thinking.- 13. Connections with abstractmodel theory.- [..]

Fields of interest

Mathematical Logic and Foundations; Algebra

Target groups

Graduates, postgraduates and researchers, computerscientists, mathematicians, philosophers, linguists

Type of publication

Monograph

Due June 2008

2008. Approx. 260 p. (Studies in Universal Logic) Softcover

59,90 €

ISBN 978-3-7643-8505-7

P. Anglès, Universite Paul Sabatier, Toulouse, France

Conformal Groups in Geometry and

Spin Structures

Conformal groups play a key role in geometry andspin structures. This book provides a self-containedoverview of this important area of mathematicalphysics, beginning with its origins in the works ofCartan and Chevalley and progressing to recent re-search in spinors and conformal geometry. Key top-ics and features: * Focuses initially on the basics ofClifford algebras * Studies the spaces of spinors forsome even Clifford algebras * Examines conformalspin geometry, beginning with an elementary studyof the conformal group of the Euclidean plane *Treats covering groups of the conformal group ofa regular pseudo-Euclidean space, including a sec-tion on the complex conformal group * Introducesconformal flat geometry and conformal spinorialitygroups, followed by a systematic development of rie-mannian or pseudo-riemannian manifolds having aconformal spin structure * Discusses links betweenclassical spin structures and conformal spin struc-tures in the context of conformal connections * Ex-amines [..]

Features

Numerous examples and exercises help the reader tomaster the topic Presents both old and new develop-ments of spin groups and structures Self-containedbook is ideal for both students and researchers

Contents

From the contents Preface.- Algebraic Tools.- Re-al Conformal Spin Geometry.- Conformal symplec-tic real geometry.- Conformal pseudo-unitary spinstructures.- Conclusion.- Hints and complete proofsof the exercises.- References.- Index.

Fields of interest

Geometry; Mathematical Methods in Physics; GroupTheory and Generalizations; Number Theory; Asso-ciative Rings and Algebras; Linear and MultilinearAlgebras, Matrix Theory

Target groups

Advanced undergraduates, graduate students, re-searchers in Mathematics and Mathematical Physics

Type of publication


Due December 2007

2008. XXVIII, 284 p. 40 illus. (Progress in Mathematical Physics,

Vol. 50) Hardcover

79,90 €

ISBN 978-0-8176-3512-1

P.J. Antsaklis, University of Notre Dame, IN, USA; A.N. Michel, Uni-

versity of Notre Dame, IN, USA

A Linear Systems Primer

Based on a streamlined presentation of the authors'successful work Linear Systems, this textbook pro-vides an introduction to systems theory with an em-phasis on control. Fundamental results andtopics essential to linear systems theory are empha-sized. Key features and topics: * Notes, references,exercises, and a summary and highlights section atthe end of each chapter. * Comprehensive index andanswers to selected exercises at the end of the book.* Three core chapters guiding the reader to an excel-lent understanding of the dynamical behavior of sys-tems. * Detailed coverage of internal and externalsystem descriptions, including state variable, impulseresponse and transfer function, polynomial matrix,and fractional representations. * Explanation of sta-bility, controllability, observability, and realizationswith an emphasis on fundamental results. * Detaileddiscussion of state-feedback, state-estimation, andeigenvalue assignment. * Emphasis on time-invariantsystems, both continuous- and [..]

Features

A concise introduction to systems and control theo-ry with an emphasis on time-invariant case for first-year grad students and senior undergraduates Threecore chapters guide the reader to an excellentunderstanding of the dynamical behavior of systemsSummaries, notes, references, and exercises at theend of each chapter; Solutions Manual avail-able to instructors upon adoption of the text Basedon a [..]

Contents

Preface.- System Models, Differential Equa-tions, and Initial Value Problems.- An Introduc-tion to State-Space and Input-Output Descriptionsof Systems.- Response of Continuous- andDiscrete-Time Systems.- Stability.- Controlla-bility and Observability: Fundamental Results.- Con-trollability and Observability: Special Forms.- Inter-nal and External Descriptions: Relations and Prop-erties.- Realization Theory and Algorithms.- StateFeedback and State Observers.- Feedback ControlSystems.- Appendix.- Solutions to Selected Exercis-es.- Index

Fields of interest

Control Engineering; Systems Theory, Control;Signal,Image and Speech Processing; Vibration, Dy-namical Systems, Control; Appl.Mathematics/Com-putational Methods of Engineering; ComputationalMathematics and Numerical Analysis

Target groups

Senior undergrads, first-year gradstudents, and researchers in electrical, me-chanical, chemical, and aerospace engineering,applied mathematics, control, communica-tions, and signal processing

Type of publication


Due October 2007

2007. XVI, 520 p. 61 illus. Softcover

49,90 €

ISBN 978-0-8176-4460-4


L. Antunes, University of Lisbon, Portugal; K. Takadama, The Uni-

versity of Electro-Communications, Tokyo, Japan (Eds.)

Multi-Agent-Based Simulation VII

International Workshop, MABS 2006, Hakodate, Japan, May 8,

2006, Revised and Invited Papers

This book constitutes the thoroughly refereed pro-ceedings of the 7th International Workshop on Mul-ti-Agent-Based Simulation, MABS 2006, held inHakodate, Japan, May 8, 2006 as an associated eventof AAMAS 2006, the main international conferenceon autonomous agents and multi-agent systems. The12 revised full papers presented together with 3 shortpapers and 2 invited papers were carefully reviewedand selected from 25 submissions during two roundsof reviewing and improvement. The papers are or-ganized in topical sections on Empirical Cross Stud-ies, Experimental Ecology, Experimental Economics,Foundations and Methodologies, Learning and So-cial Dependence.

Fields of interest

Artificial Intelligence (incl. Robotics); Simula-tion and Modeling; Computer CommunicationNetworks; Computer Appl. in Social and Behav-ioral Sciences; Information Systems Applications(incl.Internet)

Target groups

Researchers and professionals

Type of publication

Proceedings

Due October 2007

2007. X, 189 p. (Lecture Notes in Computer Science, Vol. 4442)

Softcover

42,00 €

ISBN 978-3-540-76536-3

T. Aoki, Kinki University, Japan; Y. Takei, University of Kyoto,

Japan; N. Tose, Keio University, Japan; H. Majima, Ochanomizu

University, Japan (Eds.)

Algebraic Analysis of Differential

Equations

In honor of Prof. Takahiro KAWAI on the occasion of his sixti-

eth birthday

Fields of interest

Integral Transforms, Operational Calculus; OrdinaryDifferential Equations; Partial Differential Equations;Special Functions

Target groups

Researchers, Graduate students

Type of publication

Monograph

Due October 2007


69,95 €

ISBN 978-4-431-73239-6

E. Arbarello

Geometry of Algebraic Curves

Volume 2

Fields of interest

Algebraic Geometry

Type of publication

Monograph

Due March 2008

2008. Etwa 400 S. (Grundlehren der mathematischen Wis-

senschaften, Vol. 268) Hardcover

89,95 €

ISBN 978-3-540-42688-2


I. Aref'eva, Steklov Mathematical Institute, Moscow, Russia; D.

Sternheimer, Universite de Bourgogne, Dijon, France (Eds.)

Modern Encyclopedia of

Mathematical Physics

The goal of this major undertaking is to support andenhance the interactions between mathematics andphysics by making full use of the modern informa-tion technologies. Indeed, the 20th century was fullof dramatic discoveries in each domain. And the im-portant advances of that century in mathematicalp-Physics demonstrate clearly that physics is muchcloser to deep problems in mathematics than onecould imagine by studying textbooks in our univer-sities, and that physical ideas and concepts are of-ten seminal in mathematics. The Modern Encyclo-pedia of Mathematical Physics (MEMPhys) is a tru-ly 21st century scientific encyclopedia, em-phasizing mathematical physics as opposed to math-ematics on one side and physics on the other. Thecentral idea is to create a modern version of Mai-monides’ Guide for the Perplexed, albeit limited tothis multidisciplinary field. Indeed nowadays, in-creasingly so, the problem (especially in science) isnot so much the existence or availability of informa-tion, but the [..]

Features

Makes full use of modern technologies to enrich, il-luminate, and multiply interactions between mathe-matics and physics Serves as a truly multidisciplinaryportal and efficient starting point for researchersand students at any level or field of mathematicsor physics. Contributions substantiate and articu-late the distinct existence and value of mathematicalphysics as a field in its own right. Defines and [..]

Contents

1. Algebra, Geometry and Analysis in Modern Math-ematical Physics 1.1 Algebra 1.2 Geometry 1.3 Anal-ysis 2. Dynamical systems in Mathematical Physicsand Classical Mathematical Physics 2.1 Classical Me-chanics 2.2 Dynamical Systems 2.3 Partial Differen-tial Equations of classical 2.4 Mechanics of contin-uous medium/ continuum 3. Quantum Mechanics3.1 Quantization 3.2 Spectral and scattering theories3.3 Inverse scattering problems 3.4 Perturbative andasymptotic methods 3.5 Quantum dynamical sys-tems 3.6 Open quantum systems 3.7 Random poten-tials 3.8 Measurements and quantum information 4.[..]

Fields of interest

Mathematical Methods in Physics; Physics, general;Mathematical and Computational Physics

Target groups

Researchers and students in mathematical physics.

Type of publication

Encyclop(a)edia

Due April 2009

2009. eReference.

499,00 €

ISBN 978-1-4020-4419-9

I. Aref'eva, Steklov Mathematical Institute, Moscow, Russia; D.

Sternheimer, Université de Bourgogne, Dijon, France (Eds.)

Modern Encyclopedia of


The goal of this major undertaking is to support andenhance the interactions between mathematics andphysics by making full use of the modern informa-tion technologies. Indeed, the 20th century was fullof dramatic discoveries in each domain. And the im-portant advances of that century in mathematicalPhysics demonstrate clearly that physics is muchcloser to deep problems in mathematics than onecould imagine by studying textbooks in our univer-sities, and that physical ideas and concepts are oftenseminal in mathematics. The Modern Encyclopediaof Mathematical Physics (MEMPhys) is a truly 21stcentury scientific encyclopedia, emphasizing math-ematical physics as opposed to mathematics on oneside and physics on the other. The central idea is tocreate a modern version of Maimonides’ Guide forthe Perplexed, albeit limited to this multidisciplinaryfield. Indeed nowadays, increasingly so, the problem(especially in science) is not so much the existence oravailability of information, but the ability [..]

Features

Makes full use of modern technologies to enrich, il-luminate, and multiply interactions between mathe-matics and physics Serves as a truly multidisciplinaryportal and efficient starting point for researchersand students at any level or field of mathematics orphysics Contributions substantiate and articulate thedistinct existence and value of mathematical physicsas a field in its own right Defines and [..]

Contents

1. Algebra, Geometry and Analysis in Modern Math-ematical Physics.- 2. Dynamical systems in Mathe-matical Physics and Classical Mathematical Physics.-3. Quantum Mechanics.- 4. Quantum Field Theo-ry.- 5. Statistical Physics.- 6. Integrable Systems.- 7.Mathematical aspects of General Relativity.- 8. StringTheory.

Fields of interest

Mathematical Methods in Physics; Mathematical andComputational Physics; Statistical Physics; QuantumPhysics

Target groups

Researchers and students in mathematical physics

Type of publication

Encyclop(a)edia

Due March 2009

2009. Approx. 2500 p. (in 2 volumes, not available separately).

Hardcover

499,00 €

ISBN 978-1-4020-4759-6

I.K. Argyros, Cameron University, Lawton, OK, USA

Convergence and Applications of

Newton-type Iterations

Together with recent trends in local convergence,semilocal convergence analysis constitutes a natu-ral framework for the theoretical study of iterativemethods. This monograph is the first to adequatelycover both basic theory and new results in the area. Ittreats iterative methods for solving nonlinear equa-tions with particular emphasis on theoretical aspectsof semilocal convergence of Newton-type methods.An ideal introduction to the field, the book primari-ly contains research results obtained by the author,extending classical theorems, such as convergenceresults under weaker hypothesis, enlargement of theradius of convergence, improvements of certain con-stants or bounds. The development of the material isintuitive, and each chapter contains new theoreticalresults and important applications to engineering,dynamic economic systems, input-output systems,nonlinear and linear differential equations, and opti-mization problems. Several classes of operators areconsidered: operators without [..]

Features

* An ideal introduction to the field * Contains newtheoretical results and important applications to en-gineering, dynamic economic systems, input-outputsystems, nonlinear and linear differential equations,and optimization problems * Useful to an au-dience of graduate students and researchers workingin the areas of numerical and functional analysis orcomputer science * Includes many solved problemsand [..]

Contents

Preface.- Table of Contents.- Operators and Equa-tions.- The Newton-Kantorovich (NK) Method.- Ap-plications of the Weaker Version of the (NK) The-orem.- Special Methods.- Newton-Like Methods.-Analytic Computational Complexity: We are Con-cerned with the Choice of Initial Approximations.-Variational Inequalities.- Convergence InvolvingOperators with Outer or Generalized Inverses.- Con-vergence on Generalized Banach Spaces.- Point-to-Set Mappings.- The Newton-Kantorovich Theoremand Mathematical Programming.- Glossary of Sym-bols.

Fields of interest

Numerical Analysis; Computational Mathematicsand Numerical Analysis; Functional Analysis

Target groups

Graduate students and researchers in numerical andfunctional analysis as well as computer science.

Type of publication

Monograph

Due March 2008

2008. XII, 516 pp. Hardcover

ISBN 978-0-387-72741-7


A. Arnez, Schönaich, Germany; K. Polthier, Technische Universität

Berlin, Germany; M. Steffens, Unterföhring, Germany; C. Teitzel,

Unterföhring, Germany

Touching Soap Films

This is a scientific video about the world of soapfilms, designed for the general public. Few otherphysical problems have influenced as many branch-es of mathematics in the past 200 years as have thestudy of soap films. A soap film is physically similarto a piece of rubber surface which tries to contract it-self under surface tension to a surface with least area.This completely computer generated video explainsthe world of soap films in an amusing story, in whicha young boy explores the palace of soap films. Underthe guidance of an old professor, he gains fascinatinginsights and becomes a witness to never-before-seenshapes and animations of soap films. The authorshave achieved the unique result of making the filmexciting and enjoyable for both anyone interestedin science and researchers in differential geometry.In addition, the film is ideally suited to be shown toschool students, and hence of great interest to math-ematics teachers. For the DVD version, "Geodesicsand Waves" has been added.

Features

The film has a unique mathematical content, whichis not accessible anywhere else, neither in any print-ed publication nor any other film It is of immenseinterest to researchers and students in mathematics,and a general science-interested audience

Fields of interest

Differential Geometry; Computer Graphics; Mathe-matical and Computational Physics

Target groups

Researchers and students in mathematics, and a gen-eral science-interested audience

Type of publication

Teachware

Due November 2007

2008. DVD-Video NTSC. (Springer VideoMATH)

34,95 €

ISBN 978-3-540-24041-9

A. Arnez, Schönaich, Germany; K. Polthier, Technische Universität

Berlin, Germany; M. Steffens, Unterföhring, Germany; C. Teitzel,

Unterföhring, Germany

Touching Soap Films

This is a scientific video about the world of soapfilms, designed for the general public. Few otherphysical problems have influenced as many branch-es of mathematics in the past 200 years as have thestudy of soap films. A soap film is physically similarto a piece of rubber surface which tries to contract it-self under surface tension to a surface with least area.This completely computer generated video explainsthe world of soap films in an amusing story, in whicha young boy explores the palace of soap films. Underthe guidance of an old professor, he gains fascinatinginsights and becomes a witness to never-before-seenshapes and animations of soap films. The authorshave achieved the unique result of making the filmexciting and enjoyable for both anyone interestedin science and researchers in differential geometry.In addition, the film is ideally suited to be shown toschool students, and hence of great interest to math-ematics teachers. For the DVD version, "Geodesicsand Waves" has been added.

Features

The film has a unique mathematical content, whichis not accessible anywhere else, neither in any print-ed publication nor any other film It is of immenseinterest to researchers and students in mathematics,and a general science-interested audience

Fields of interest

Differential Geometry; Computer Graphics; Mathe-matical and Computational Physics

Target groups

Researchers and students in mathematics, and a gen-eral science-interested audience

Type of publication

Teachware

Due November 2007

2008. DVD-Video PAL. (Springer VideoMATH)

34,95 €

ISBN 978-3-540-24093-8

B.C. Arnold, University of California, Riverside, CA, USA; N. Balakr-

ishnan, McMaster University, Hamilton, ON, Canada; J.M. Sarabia,

University of Cantabria, Santander, Spain; R. Mínguez, University

of Castilla-La Mancha, Ciudad Real, Spain (Eds.)

Advances in Mathematical and

Statistical Modeling

Enrique Castillo is a leading figure in several math-ematical and engineering fields, having contribut-ed seminal work in such areas as Bayesian networks,neural networks, functional equations, artificial in-telligence, linear algebra, optimization methods, nu-merical methods, reliability engineering, as well assensitivity analysis and its applications. Organizedto honor Castillo’s significant contributions,this volume is an outgrowth of the "InternationalConference on Mathematical and Statistical Mod-eling," and covers recent advances in mathematicaland statistical modeling. Applications to safety, re-liability and life-testing, financial modeling, quali-ty control, general inference, as well as neural net-works and computational techniques are presented.The book is divided into seven main sections,which include distribution the-ory and order statistics, extremevalue theory, modeling inengineering, fatigue models, modelingin business and [..]

Features

Contributors are prominent, distinguished,and well-respected researchers in the field of math-ematical and statistical modeling Real-world appli-cations to safety, reliability, life-testing, finan-cial modeling, quality control, general inference, eco-nomics, engineering, as well as neural networks andcomputational techniques Good reference work forpractitioners, researchers, and graduate students in[..]

Contents

Preface.- List of Contributors.- List of Tables.- Listof Figures.- Part I. Distribution Theory and Appli-cations.- Enrique Castillo's Contributions to Con-ditional Specification.- The Polygonal Distribu-tion.- Conditionally Specified Models: NewDevelopments and Applications.- Modellingof Insurance Claim Count with Hurdle Distribu-tion for Panel Data.- Distance-Based Asso-ciation and Multi-Sample Tests for General Multi-variate Data.- Part II. Probability and Statistics.- Em-pirical Bayes Assessment of the Hyperparameters inBayesian Factor Analysis.- Part III. Order [..]

Fields of interest

Statistical Theory and Methods; Statistics for Busi-ness/Economics/Mathematical Finance/Insurance;Statistics for Engineering, Physics, Computer Sci-ence, Chemistry & Geosciences; Mathematical Mod-eling and Industrial Mathematics; ComputationalScience and Engineering; Optimization

Target groups

Practitioners, researchers, and graduate students instatistics, applied mathematics, engineering, eco-nomics, and modeling.

Type of publication

Contributed volume

Due May 2008


2008. Approx. 504 p. 56 illus. (Statistics for Industry and Technol-

ogy) Hardcover

97,00 €

ISBN 978-0-8176-4625-7

A. Astolfi, Imperial College, London, UK; D. Karagiannis, Imperial

College, London, UK; R. Ortega, Centre National de la Recherche

Scientifique, Gif-sur-Yvette, France

Nonlinear and Adaptive Control

with Applications

Nonlinear and Adaptive Control with Applicationsprovides a detailed treatment of the design of robustadaptive controllers for nonlinear systems with un-certainties. The authors employ a new tool based onthe ideas of system immersion and manifold invari-ance. Departing, in part, from the Lyapunov-func-tion approach of classical control, new algorithmsare delivered for the construction of robust asymp-totically-stabilising and adaptive control laws fornonlinear systems. The methods proposed lead tomodular schemes. These algorithms cater for non-linear systems with both parametric and dynamicuncertainties. This innovative strategy is illustrat-ed with several examples and case studies from realapplications: power converters, electrical machines,mechanical systems, autonomous aircraft and com-puter vision. Researchers working on adaptive andnonlinear control theory or on control applicationswill find this monograph of interest.

Features

Shows the reader a new method for generating eas-ily-tuned adaptive nonlinear control schemes Pro-vides working algorithms that can be readily imple-mented Demonstrates the application on the controltheory in applications from autonomous aircraft au-topilot design to power regulation

Contents

Introduction.- I and I Stabilisation.- I and I AdaptiveControl: Tools and Examples.- I and I Adaptive Con-trol: Systems in Special Forms.- Nonlinear ObserverDesign.- Robust Stabilisation via Output Feedback.-Nonlinear PI Control of Uncertain Systems.- Electri-cal Systems.- Mechanical Systems.- Electromechani-cal Systems.- Appendix: Background Material.

Fields of interest

Control Engineering; Systems Theory, Control; Au-tomotive and Aerospace Engineering; Power Engi-neering; Automation and Robotics; Computer Imag-ing, Vision, Pattern Recognition and Graphics

Target groups

Researchers working on adaptive and nonlinear con-trol theory or on control applications; graduate stu-dents in control systems; control engineers workingwith electrical, mechanical and electromechanicalsystems; libraries

Type of publication

Monograph

Due January 2008

2008. Approx. 300 p. 75 illus. (Communications and Control Engi-

neering) Hardcover

79,95 €

ISBN 978-1-84800-065-0

A. Astolfi, Imperial College, London, UK; L. Marconi, University of

Bologna, Italy (Eds.)

Analysis and Design of Nonlinear

Control Systems

In Honor of Alberto Isidori

Features

Carefully edited book celebrating the 65th birth-day of Alberto Isidori Has a celebrative flavour, andat the same time contain reference material for re-searchers interested in nonlinear control theory,and in particular in its mathematical foundations Oftechnical nature building upon the contributions andideas of Alberto Isidori prolific research career

Contents

Part I System Analysis.- Part II Optimization Meth-ods.- Part III Feedback Design.- Part IV Regulation.-Part V Geometric Methods.- Part VI AsymptoticAnalysis.

Fields of interest

Control Engineering; Systems Theory, Control

Target groups

Researchers, engineers, students in control

Type of publication

Monograph

Due November 2007


129,95 €

ISBN 978-3-540-74357-6


A. Balanov, Technische Universität Berlin, Germany; N. Janson,

Loughborough University, Leicestershire, UK; D. Postnov, Saratov

State University, Russia; O. Sosnovtseva, Technical University of

Denmark, Lyngby, Denmark

Synchronization

From Simple to Complex

"From Complexity to Simplicity" is devoted to thefundamental phenomenon in physics – synchroniza-tion that occurs in coupled non-linear dissipative os-cillators. Examples of such systems range from me-chanical clocks to population dynamics, from hu-man heart to neural networks. The authors study thisphenomenon as applied to oscillations of differentnature such as those with periodic, chaotic, noisyand noise-induced nature, reveal the general mech-anisms behind synchronization, and bring to lightother important effects that accompany synchroniza-tion such as phase multistability, dephasing and mul-timode interaction. The main purpose of this book isto demonstrate that the complexity of synchronouspatterns of real oscillating system can be described inthe framework of the general approach.

Features

Offers a unifying approach to synchronization innonlinear systems exhibited in diverse systems Clar-ifies the theme through applications in physics, engi-neering and medicine

Contents

Part I: Mechanisms of Synchronization.- 1. Introduc-tion.- 2. 1:1 Forced Synchronization of Periodic Os-cillations.- 3. 1:1 Mutual Synchronization of Period-ic Oscillations.- 4. Homoclinic Mechanism of Syn-chronization of Periodic Oscillations.- 5. n:m Syn-chronization of Periodic Oscillations.- 6. 1:1 ForcedSynchronization of Periodic Oscillations in the Pres-ence of Noise.- 7. Chaos Synchronization.- 8. Syn-chronization of Noise-Induced Oscillations.- 9. Con-clusions to Part I.- Part II: Synchronization of Com-plex Oscillations.- 10. Introduction.- 11. Synchro-nization of Anisochronous [..]

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Mathematical and ComputationalPhysics; Physics and Applied Physics in Engineering

Target groups

Scientists and graduate students

Type of publication

Monograph

Due March 2008

2008. Approx. XVII, 449 p. 105 illus. (Springer Series in Synerget-

ics) Hardcover

79,95 €

ISBN 978-3-540-72127-7

J.A. Ball, Virginia Tech, Blacksburg, VA, USA; Y. Eidelman, Tel Aviv

University, Israel; W. Helton, University of California San Diego,

CA, USA; V. Olshevsky, University of Connecticut, Storrs, CT, USA;

J. Rovnyak, University of Virginia, Charlottesville, VA, USA (Eds.)

Recent Advances in Matrix and

Operator Theory

This book expands the lectures given at IWOTA’05(International Workshop on Operator Theory andApplications) which was held at the University ofConnecticut, Storrs, USA, July 24–27, 2005. Manydevelopments on the cutting edge of research in op-erator theory, matrix theory, coding theory, systemtheory, control theory and numerical linear algebraare reflected in this collection of original articles. Thevolume is of a cross-disciplinary nature. A numberof papers are devoted to the analysis and algorithmsfor matrices with quasiseparable structure which isan active area of concurrent research in numericallinear algebra.

Features

Peer-reviewed contributions by experts in the field

Contents

Preface.- List of Participants.- Research articles.

Fields of interest

Operator Theory; Linear and Multilinear Algebras,Matrix Theory; Functional Analysis; MathematicalMethods in Physics

Target groups

Postgraduates and researchers in matrix theory, op-erator theory, functional analysis, mathematicalphysics

Type of publication

Proceedings

Due November 2007

2008. Approx. 348 p. (Operator Theory: Advances and Applica-

tions, Vol. 179) Hardcover

149,00 €

ISBN 978-3-7643-8538-5

C. Bardos, Université Denis Diderot, Paris, France; A. Fursikov,

Moscow State University, Institute of Numerical Mathematics

RAS (Eds.)

Instability in Models Connected

with Fluid Flows I

The notions of stability and instability play a veryimportant role in mathematical physics and, in par-ticular, in mathematical models of fluids flows. Cur-rently, one of the most important roblems in thisarea is to describe different kinds of instability, tounderstand their nature, and also to work out meth-ods for recognizing whether a mathematical modelis stable or instable. In the current volume, ClaudeBardos and Andrei Fursikov, have drawn togeth-er an impressive array of international contribu-tors to present important recent results and perspec-tives in this area. The main topics covered are devot-ed to mathematical aspects of the theory but somenovel schemes used in applied mathematics are alsopresented. Various topics from control theory, freeboundary problems, Navier-Stokes equations, firstorder linear and nonlinear equations, 3D incom-pressible Euler equations, large time behavior of so-lutions, etc. are concentrated around the main goalof these volumes the stability (instability) of [..]

Features

A unique collection of papers of leading specialistspresenting the very recent results and advantages inthe main directions of stability theory in connectionwith fluid flows

Contents

Preface, Claude Bardos and Andrei Fursikov.- SolidControllability in Fluid Dynamics, Andrey Agrachevand Andrey Sarychev.- Analyticity of Periodic Solu-tions of the 2D Boussinesq System, Maxim Arnold.-Nonlinear Dynamics of a System of Particle-LikeWavepackets, Anatoli Babin and Aleksander Fig-otin.- Attractors for Nonautonomous Navier–StokesSystem and Other Partial Differential Equations,Vladimir Chepyzhov and Mark Vishik.- Recent Re-sults in Large Amplitude Monophase Nonlinear Ge-ometric Optics, Christophe Cheverry.- ExistenceTheorems for the 3D–Navier–Stokes System Havingas Initial [..]

Fields of interest

Analysis; Calculus of Variations and Optimal Con-trol; Optimization; Computational Mathematics andNumerical Analysis; Partial Differential Equations;Theoretical and Applied Mechanics; Mechanics, Flu-ids, Thermodynamics

Target groups

Researches, specialists in calculus, mathematicalanalysis, theory of PDEs, optimal control, fluid me-chanics, theoretical physics, computational mathe-matics, and also related disciplines

Type of publication

Contributed volume

Due February 2008

2008. Approx. 400 p. (International Mathematical Series, Vol. 6)

Hardcover

69,95 €

ISBN 978-0-387-75216-7


C. Bardos, Université Denis Diderot, Paris, France; A. Fursikov,

Moscow State University, Institute of Numerical Mathematics

RAS (Eds.)

Instability in Models Connected

with Fluid Flows II

Stability is a very important property of mathemati-cal models simulating physical processes which pro-vides an adequate description of the process. Start-ing from the classical notion of the well-posedness inthe Hadamard sense, this notion was adapted to dif-ferent areas of research and at present is understood,depending on the physical problem under consid-eration, as the Lyapunov stability of stationary solu-tions, stability of specified initial data, stability of av-eraged models, etc. The stability property is of greatinterest for researchers in many fields such as math-ematical analysis, theory of partial differential equa-tions, optimal control, numerical analysis, fluid me-chanics, etc. etc. The variety of recent results, sur-veys, methods and approaches to different modelspresented by leading world-known mathematicians,makes both volumes devoted to the stability and in-stability of mathematical models in fluid mechanicsvery attractive for provisional buyers/readers work-ing in the above mentioned [..]

Features

A unique collection of papers of leading specialistspresenting the very recent results and advantages inthe main directions of stability theory in connectionwith fluid flows

Contents

Justifying Asymptotics for 3D Water–Waves, DavidLannes.- Generalized Solutions of the Cauchy Prob-lem for a Transport Equation with DiscontinuousCoefficients, Evgenii Panov.- Irreducible Chap-man–Enskog Projections and Navier–Stokes Ap-proximations, Evgenii Radkevich.- Exponential Mix-ing for Randomly Forced Partial Differential Equa-tions: Method of Coupling, Armen Shirikyan.- OnProblem of Stability of Equilibrium Figures of Uni-formly Rotating Viscous Incompressible Liquid,Vsevolod Solonnikov.- Weak Spatially NondecayingSolutions of 3D Navier–Stokes Equations in Cylin-drical Domains, [..]

Fields of interest

Analysis; Calculus of Variations and Optimal Con-trol; Optimization; Computational Mathematics andNumerical Analysis; Partial Differential Equations;Theoretical and Applied Mechanics; Mechanics, Flu-ids, Thermodynamics

Target groups

Researches, specialists in calculus, mathematicalanalysis, theory of PDEs, optimal control, fluid me-chanics, theoretical physics, computational mathe-matics, and also related disciplines

Type of publication

Contributed volume

Due February 2008

2008. Approx. 400 p. (International Mathematical Series, Vol. 7)

Hardcover

69,95 €

ISBN 978-0-387-75218-1

Th. Barkowsky, University of Bremen, Germany; M. Knauff, Jus-

tus-Liebig-Universität Gießen, Germany; G. Ligozat, LIMSI-CNRS,

Orsay, France; D.R. Montello, University of California, Santa Bar-

bara, CA, USA (Eds.)

Spatial Cognition V

Reasoning, Action, Interaction

This book constitutes the refereed proceedings ofthe International Conference on Spatial Cognition,Spatial Cognition 2006, held in Bremen, Germany,September 24-28, 2006. The 28 revised full paperspresented were carefully reviewed and selected from59 submissions. The papers are organized in topi-cal sections on Spatial Reasoning, Human-Robot In-teraction, Visuo-Spatial Reasoning and Spatial Dy-namics, Spatial Concepts, Human Memory, Men-tal Reasoning and Assistance, Spatial Concepts, Hu-man Memory and Mental Reasoning, Navigation,Wayfinding and Route Instructions as well as Lin-guistic and Social Issues in Spatial Knowledge Pro-cessing.

Fields of interest

Simulation and Modeling; Computer Imaging, Vi-sion, Pattern Recognition and Graphics; ComputerAppl. in Social and Behavioral Sciences; Artificial In-telligence (incl. Robotics); Data Mining and Knowl-edge Discovery

Target groups


Type of publication

Proceedings

Due November 2007

2008. Approx. 535 p. (Lecture Notes in Computer Science, Vol.

4387) Softcover

64,00 €

ISBN 978-3-540-75665-1

L. Barreira, Instituto Superior Técnico, Lisboa, Portugal; C. Valls,

Instituto Superior Técnico, Lisboa, Portugal

Stability of Nonautonomous


The main theme of this volume is the stability ofnonautonomous differential equations in Banachspaces in the presence of nonuniform hyperbolicity.In particular, the linear variational equations are al-ways assumed to possess a nonuniform exponentialbehavior, given either by the existence of a nonuni-form exponential contraction or a nonuniform ex-ponential dichotomy. Topics under discussion in-clude the Lyapunov stability of solutions, the exis-tence and smoothness of invariant manifolds, andthe construction and regularity of topological conju-gacies. The exposition is directed to researchers aswell as graduate students interested in differentialequations and dynamical systems, particularly in sta-bility theory.

Contents

Preface.- Introduction.- Part I Exponential di-chotomies.- Exponential dichotomies and basicproperties.- Robustness of nonuniform exponentialdichotomies.- Part II Stable manifolds and topologi-cal conjugacies.- Lipschitz stable manifolds.- Smoothstable manifolds in R^n.- Smooth stable manifolds inBanach spaces.- A nonautonomous Grobman–Hart-man theorem.- Part III Center manifolds, symme-try and reversibility.- Center manifolds in Banachspaces.- Reversibility and equivariance in centermanifolds.- Part IV Lyapunov regularity and stabilitytheory.- Lyapunov regularity and exponential [..]

Fields of interest

Ordinary Differential Equations; Dynamical Systemsand Ergodic Theory

Target groups

Researchers and graduate students interested in dif-ferential equations and dynamical systems, particu-larly in stability theory

Type of publication

Monograph

Due October 2007

2008. XIV, 290 p. 4 illus. (Lecture Notes in Mathematics, Vol.

1926) Softcover

39,95 €

ISBN 978-3-540-74774-1


H. Bart, Erasmus University Rotterdam, The Netherlands; I. Go-

hberg, Tel Aviv University, Israel; M.A. Kaashoek, Vrije Universiteit

Amsterdam, The Netherlands; A.C.M. Ran, Vrije Universiteit Ams-

terdam, The Netherlands

Factorization of Matrix and

Operator Functions: The State

Space Method

The present book deals with factorization problemsfor matrix and operator functions. The problemsoriginate from, or are motivated by, the theory ofnon-selfadjoint operators, the theory of matrix poly-nomials, mathematical systems and control theory,the theory of Riccati equations, inversion of convo-lution operators, theory of job scheduling in oper-ations research. The book systematically employsa geometric principle of factorization which has itsorigins in the state space theory of linear input-out-put systems and in the theory of characteristic op-erator functions. This principle allows one to dealwith different factorizations from one point of view.Covered are canonical factorization, minimal andnon-minimal factorizations, pseudo-canonical fac-torization, and various types of degree one factor-ization. Considerable attention is given to the mat-ter of stability of factorization which in terms of thestate space method involves stability of invariantsubspaces.invariant subspaces.

Features

Second book which is devoted to the state space fac-torization theory; the first appeared in 1979 as vol-ume 1 of this book series; it contains a substantialselection from the first book, in a reorganized andupdated form An entirely new part is devoted to thetheory of factorization into degree one factors andits connection to the combinatorial problem of jobscheduling in operations research; it is [..]

Contents

Preface.- Motivating Problems.- Operator Nodes,Systems, Operations on Systems.- Realization andLinearization.- Factorization and Riccati Equa-tions.- Canonical Factorization.- Minimal Systems.-Minimal Realization and Pole-Zero Structure.- De-gree One Factors.- Factorization and Job Schedul-ing.- Stability of Factorization and of Invariant Sub-spaces.- Factorization of Real Matrix Functions.-Bibliography.- Index.

Fields of interest

Operator Theory; Linear and Multilinear Algebras,Matrix Theory

Target groups

Graduates, postgraduates and researchers in opera-tor theory, matrix theory and systems theory

Type of publication

Monograph

Due October 2007

2008. Approx. 424 p. (Linear Operators and Linear Systems, Vol.

178) Hardcover

129,00 €

ISBN 978-3-7643-8267-4

C. Bartocci, Università degli Studi di Genova, Italy; U. Bruzzo, SIS-

SA, Trieste, Italy; D. Hernández Ruipérez, Universidad de Sala-

manca, Spain

Fourier–Mukai and Nahm

Transforms in Geometry and


Integral transforms, such as the Laplace and Fouriertransforms, have been major tools in mathematicalphysics for at least two centuries. In the last 25 years,the development of gauge theory has been closely re-lated to new generalizations of integral transformsof a more geometric character. Fourier–Mukai andNahm Transforms in Geometry and Mathe-matical Physics examines the differential-geomet-ric constructions (Nahm) as well as the algebro-geo-metric approach (Fourier–Mukai functors). Also in-cluded is a considerable amount of material scatteredin the literature and not systematically organized inany existing textbook or monograph. Key features: *Basic constructions and definitions are presented inpreliminary background chapters so that the work isself-contained * Applications are presented * Openquestions for graduate students and researchers *Good bibliography and index The book provides anintroduction to current research in mathematicalphysics and is particularly useful to graduate [..]

Contents

Preface.-Integral Functors.-Fourier-Mukai func-tors.-Fourier-Mukai on Abelian varieties.-Fouri-er-Mukai on K3 surfaces.-Relative Fourier-Mukaifunctors.-Fourier-Mukai partners and birational ge-ometry.-Appendices: Derived and triangulated cat-egories, Lattices, Miscellaneous results.-Bibliogra-phy.-Index.

Fields of interest

Algebraic Geometry; Partial Differential Equations;Differential Geometry; Mathematical and Computa-tional Physics

Target groups

graduate students researchersn/a

Type of publication

Monograph

Due March 2009

2009. Approx. 300 p. (Progress in Mathematics, Preliminary entry

510) Hardcover

72,00 €

ISBN 978-0-8176-3246-5

N. Bellomo, Politecnico di Torino, Italia

Modeling Complex Living Systems

A Kinetic Theory and Stochastic Game Approach

Using tools from mathematical kinetic theory andstochastic game theory, this work deals with themodeling of large complex systems in the appliedsciences, particularly those comprised of several in-teracting individuals whose dynamics follow rulesdetermined by some organized, or even “intelligent”ability. Traditionally, methods of mathematical ki-netic theory have been applied to model the evolu-tion of large systems of interacting classical or quan-tum particles. This book, on the other hand, exam-ines the modeling of living systems as opposed toinert systems. The author develops new mathemat-ical methods and tools—hopefully a “new” mathe-matics—toward the modeling of living systems. Suchtools need to be far more complex than those deal-ing with systems of inert matter. Specific topics cov-ered include: - Modeling of the competition betweencells of an aggressive invasive agent and cells of theimmune system; - Modeling of vehicular traffic flow;- Modeling of swarms and crowd dynamics in com-plex [..]

Features

Unique book with respect to the existing literature;very little is available in the field using this particularapproach Using new methods and tools from math-ematical kinetic theory and stochastic game theory,this book examines the modeling of living systems asopposed to inert systems Real-world applications toimmunology, transportation engineering, and eco-nomics Appeals to a broad audience: applied [..]

Contents

Preface.- From Scaling and Determinism to Kinet-ic Theory Representation.- Mathematical Structuresof Kinetic Theory for Active Particles.- AdditionalMathematical Structures for Modeling Complex Sys-tems.- Mathematical Frameworks for Discrete Ac-tivity Systems.- Modeling of Social Dynamics andEconomic Systems.- Mathematical Modeling of Ve-hicular Traffic Flow Phenomena.- Complex Biologi-cal Systems: Mutations and Immune Competition.-Modeling Crowds and Swarms: Congested and PanicFlows.- Additional Concepts on the Modeling of Liv-ing Systems.- Bibliography.- Index.

Fields of interest

Mathematical Modeling and Industrial Mathematics;Applications of Mathematics; Mathematical Biolo-gy in General; Game Theory, Economics, Social andBehav. Sciences; Mathematical Methods in Physics;Appl.Mathematics/Computational Methods of Engi-neering

Target groups

Applied mathematicians, engineers, physicists, biolo-gists, economists, and graduate students

Type of publication

Monograph

Due November 2007

2008. XII, 220 p. 37 illus. (Modeling and Simulation in Science,

Engineering and Technology) Hardcover

54,90 €

ISBN 978-0-8176-4510-6


N. Bellomo, Politecnico di Torino, Italia; B. Lods, Université Blaisé

Pascal, Aubière, France; R. Revelli, Politecnico di Torino, Italia; L.

Ridolfi, Politecnico di Torino, Italia

Generalized Collocation Methods

Solutions to Nonlinear Problems

This book examines various mathematical tools—based on generalized collocation methods—to solvenonlinear problems related to partial differentialand integro-differential equations. Covered are spe-cific problems and models related to vehicular traf-fic flow, population dynamics, wave phenomena,heat convection and diffusion, transport phenome-na, and pollution. Based on a unified approach com-bining modeling, mathematical methods, and scien-tific computation, each chapter begins with sever-al examples and problems solved by computation-al methods; full details of the solution techniquesused are given. The last section of each chapter pro-vides problems and exercises giving readers the op-portunity to practice using the mathematical tools al-ready presented. Although the authors makeuse of Mathematica®, readers may use other pack-ages such as MATLAB® or MapleTM depending ontheir specific needs and software preferences. Gener-alized Collocation Methods is written for an interdis-ciplinary audience of [..]

Features

Unified presentation of modeling, mathe-matical methods, and scientific computationExamples and exercises are included in ev-ery chapter Scientific packages, suchas Mathematica®, Maple, and MATLAB®, maybe easily incorporated as problem-solving tools formaterial presented in the work Real-world applica-tions to vehicular traffic flow, population dynamics,wave phenomena, heat convection and [..]

Contents

Preface.- Mathematical Models and Problems inApplied Sciences.- Lagrange and Sinc CollocationInterpolation Methods.- Nonlinear Initial ValueProblems in Unbounded Domains.- Nonlinear Ini-tial-Boundary Value Problems in One-Space Dimen-sion.- Nonlinear Initial-Boundary Value Problems inTwo Space Dimensions.- Additional MathematicalTools for Nonlinear Problems.- Scientific Pro-grams.- References.- Subject Index

Fields of interest

Mathematical Modeling and Industrial Mathe-matics; Computational Science and Engineering;Appl.Mathematics/Computational Methods of En-gineering; Ordinary Differential Equations; PartialDifferential Equations; Mathematical Methods inPhysics

Target groups

Graduate students, researchers, and practitioners inapplied mathematics, computational science, and en-gineering

Type of publication


Due November 2007

2008. XII, 196 p. 62 illus. (Modeling and Simulation in Science,


59,90 €

ISBN 978-0-8176-4525-0

D. Benest, Observatoire de Nice, France; C. Froeschle, Observa-

toire de Nice, France; E. Lega, Observatoire de Nice, France (Eds.)

Topics in Gravitational Dynamics

Solar, Extra-Solar and Galactic Systems

This set of lectures collects surveys of open problemsin celestial dynamics and dynamical astronomy ap-plied to solar, extra-solar and galactic systems. Em-phasis is on questions of stability of planetary sys-tems. In particular the discovery and thus the possi-bility to study many new extra-solar planetary sys-tems have spurred new developments in the fieldand enabled the testing and enlargement of the do-mains of validity of theoretical predictions throughthe Nekhoroshev theorem.

Contents

An Overview on the Nechoroshev Theorem.- Dif-fusion in Hamiltonian Quasi-Integrable Systems.-Weakly Dissipative Systems in Celestial Mechan-ics.- Connectance and Stability of Dynamical Sys-tems.- Chaotic Diffusion of Asteroids.- An Overiewof the Rotations of Planets in the Solar System.- Onthe Stability of Extra-Solar Planetary Systems.- Ori-gin Theories for the Eccentricities of Extrasolar Plan-ets.- Methods for the Study of the Dynamics of theOort Cloud Comets I: Modelling the Stellar Pertur-bations.- Methods for the Study of the Dynamics ofthe Oort Cloud Comets II: Modelling the [..]

Fields of interest

Astronomy; Dynamical Systems and Ergodic Theory;Mathematical Methods in Physics; ExtraterrestrialPhysics, Space Sciences

Target groups

Graduate students, lecturers, researchers

Type of publication

Monograph

Due October 2007

2007. Approx. 390 p. Also available online. (Lecture Notes in

Physics, Vol. 729) Hardcover

89,95 €

ISBN 978-3-540-72983-9

S. Benzoni-Gavage, Université Claude Bernard Lyon I, France; D.

Serre, Ecole Normale Supérieure, Lyon, France (Eds.)

Hyperbolic Problems: Theory,

Numerics, Applications

Proceedings of the XIth International Conference on Hyper-

bolic Problems held in Ecole Normale Supérieure, Lyon, July

17-21, 2006

This volume contains papers that were presented atHYP2006, the eleventh international Conference onHyperbolic Problems: Theory, Numerics and Ap-plications held at the Ecole Normale Supérieure deLyon, France, July 17-21, 2006. This biennial seriesof conferences has become one of the most impor-tant international events in Applied Mathematics. Ascomputers became more and more powerful, the in-terplay between theory, modelling, and numerical al-gorithms gained considerable impact, and the scopeof HYP conferences expanded accordingly. The fieldis currently in interaction with a variety of scientif-ic domains, including fluid dynamics, physics, elec-tromagnetism, chemistry, biology, road and net-work traffic, and engineering. Many of these paperspresent new effective numerical methods and theirapplication in various contexts.

Fields of interest

Computational Mathematics and Numerical Anal-ysis; Numerical Analysis; Partial Differential Equa-tions; Numerical and Computational Methods

Target groups


Type of publication

Proceedings

Due December 2007


99,95 €

ISBN 978-3-540-75711-5


M. Berger

Jacob's Ladder

Fields of interest

Geometry

Type of publication

Monograph

Due November 2008

2008. 600 p. (approx.) Hardcover

69,95 €

ISBN 978-3-540-70996-1

M. Berti, l'Università degli Studi di Napoli "Federico II", Italia

Nonlinear Oscillations of

Hamiltonian PDEs

Many partial differential equations (PDEs) that arisein physics can be viewed as infinite-dimensionalHamiltonian systems. This monograph presents re-cent existence results of nonlinear oscillations ofHamiltonian PDEs, particularly of periodic solutionsfor completely resonant nonlinear wave equations.After introducing the reader to classical finite-di-mensional dynamical system theory, including theWeinstein—Moser and Fadell—Rabinowitz bifurca-tion results, the analogous theory for nonlinear waveequations is developed. The theory and applicationsof the Nash—Moser theorem to a class of nonlinearwave equations is also discussed together with oth-er basic notions of Hamiltonian PDEs and numbertheory. The main examples of Hamiltonian PDEspresented include: the nonlinear wave equation, thenonlinear Schrödinger equation, beam equations,and the Euler equations of hydrodynamics. This textserves as an introduction to research in this fascinat-ing and rapidly growing field. Graduate students and[..]

Features

Introductory treatise to the current research in thefield Includes an appendix that discusses the basicnoties of Hamiltonian PDEs and number theory

Contents

Introduction.- Finite dimension.-Infinite dimen-sion.- A tutorial in Nash—Moser theory.- Applica-tion to the NLW.- Forced vibrations.- Appendix.- In-dex.

Fields of interest

Partial Differential Equations; Dynamical Systemsand Ergodic Theory; Approximations and Expan-sions; Number Theory; Applications of Mathematics;Mathematical Methods in Physics

Target groups

Graduate students and researchers interested in vari-ational techniques and nonlinear analysis applied toHamiltonian PDEs

Type of publication

Monograph

Due November 2007

2008. XIV, 186 p. 10 illus. (Progress in Nonlinear Differential

Equations and Their Applications, Vol. 74) Hardcover

59,90 €

ISBN 978-0-8176-4680-6

D. Beyer, Hewlett-Packard Laboratories, CA, USA; F. Cheng, IBM

Thomas J. Watson Research Center, NJ, USA; S.P. Sethi, Uni-

versity of Texas at Dallas, TX, USA; M. Taksar, University of Mis-

souri-Columbia, USA

Markovian Demand Inventory

Models

Inventory management is concerned with match-ing supply with demand and a central problem inOperations Management. The problem is to findthe amount to be produced or purchased in order tomaximize the total expected profit or minimize thetotal expected cost. Over the past two decades, sever-al variations of the formula appeared, mostly in tradejournals written by and for inventory managers. Acritical assumption in the inventory literature is thatthe demands in different periods are independentand identically distributed. However, in real life, de-mands may depend on environmental considera-tions or the events in the world such as the weather,the state of economy, etc. Moreover, these events arerepresented by stochastic processes - exogenous orcontrolled. In Markovian Demand Inventory Mod-els, the authors are concerned with inventory mod-els where these world events are modeled by Markovprocesses. Their research on Markovian demand in-ventory models was carried out over a period of tenyears [..]

Features

Markov processes will provide better results whenapplied to random inventory problems This topic isa research interest in the distinguished research ca-reer of Suresh Sethi and his students Mathematicaltools employed in this book involve dynamic pro-gramming and stochastic processes Is written forstudents, researchers, and practitioners in the areasof operations management and industrial engineer-ing, can [..]

Fields of interest

Production/Logistics; Probability Theory andStochastic Processes; Engineering Economics, Orga-nization, Logistics, Marketing; Mathematical Model-ing and Industrial Mathematics; Industrial and Pro-duction Engineering; Operation Research/DecisionTheory

Target groups

Students and academics in the areas of OperationsManagement, Industrial Engineering, OR and Ap-plied Mathematics

Type of publication

Monograph

Due November 2007

2007. Approx. 260 p. (International Series in Operations Research

& Management Science, Vol. 108) Hardcover

76,25 €

ISBN 978-0-387-71603-9


F. Biagini, University of Bologna, Italy; Y. Hu, University of Kansas,

Lawrence, KS, USA; B. Øksendal, University of Oslo, Norway; T.

Zhang, University of Manchester, UK

Stochastic Calculus for Fractional

Brownian Motion and Applications

Fractional Brownian motion (fBm) has been wide-ly used to model a number of phenomena in diversefields from biology to finance. This huge range ofpotential applications makes fBm an interesting ob-ject of study. Several approaches have been used todevelop the concept of stochastic calculus for fBm.The purpose of this book is to present a comprehen-sive account of the different definitions of stochas-tic integration for fBm, and to give applications ofthe resulting theory. Particular emphasis is placedon studying the relations between the different ap-proaches. Readers are assumed to be familiar withprobability theory and stochastic analysis, althoughthe mathematical techniques used in the book arethoroughly exposed and some of the necessary pre-requisites, such as classical white noise theory andfractional calculus, are recalled in the appendices.This book will be a valuable reference for graduatestudents and researchers in mathematics, biology,meteorology, physics, engineering and finance.

Features

The first book to compare the different frameworksand methods of stochastic integration for fBm. It al-so discusses the applications of the resulting theory.Written by leading contributors to the field.

Contents

Part I: Fractional Brownian Motion.- Intrinsic prop-erties of the fractional Brownian motion. Part II:Stochastic Calculus.- Wiener and divergence-type in-tegrals for fractional Brownian motion.- FractionalWick-Itô-Skorohod (fWIS-) integrals for fractionalBrownian motion of Hurst Index H > ½.- Wick-Itô-Skorohod integrals for fractional Brownian mo-tion.- Pathwise integrals for fractional Brownian mo-tion.- A useful summary. Part III: Applications ofStochastic Calculus.- Fractional Brownian motionin finance.- Stochastic partial differential equationsdriven by fractional Brownian [..]

Fields of interest

Probability Theory and Stochastic Processes; Statis-tics for Business/Economics/Mathematical Fi-nance/Insurance; Applications of Mathematics

Target groups

Researchers and graduate students; probabilistsworking on Brownian motion

Type of publication

Monograph

Due December 2007

2008. Approx. 352pp. (Probability and its Applications) Hardcov-

er

76,95 €

ISBN 978-1-85233-996-8

J.P.N. Bishwal, University of North Carolina, Charlotte, NC, USA

Parameter Estimation in Stochastic


Parameter estimation in stochastic differential equa-tions and stochastic partial differential equations isthe science, art and technology of modelling com-plex phenomena and making beautiful decisions.The subject has attracted researchers from severalareas of mathematics and other related fields likeeconomics and finance. This volume presents theestimation of the unknown parameters in the cor-responding continuous models based on continu-ous and discrete observations and examines exten-sively maximum likelihood, minimum contrast andBayesian methods. Useful because of the currentavailability of high frequency data is the study of re-fined asymptotic properties of several estimatorswhen the observation time length is large and theobservation time interval is small. Also space timewhite noise driven models, useful for spatial data,and more sophisticated non-Markovian and non-semimartingale models like fractional diffusions thatmodel the long memory phenomena are examined inthis volume.

Contents

Preface.- 1.Parametric Stochastic Differential Equa-tions.- Part I: Continuous Sampling.- 2.Rates ofWeak Convergence of Estimators in HomogeneousDiffusions. -3.Large Deviations for Estimators inHomogeneous Diffusions.- 4.Local AsymptoticMixed Normality for Nonhomogeneous Diffusions.-5.Bayes and Sequential Estimation in StochasticPDEs.- 6.Maximum Likelihood Estimation in Frac-tional Diffusions.- Part II: Discrete Sampling.- 7.Ap-proximate Maximum Likelihood Estimation in Non-homogeneous Diffusions.- 8.Rates of Weak Conver-gence of Estimators in the Ornstein-Uhlenbeck Pro-cess.- 9.Local [..]

Fields of interest

Probability Theory and Stochastic Processes; Statisti-cal Theory and Methods; Quantitative Finance; Nu-merical Analysis; Game Theory, Economics, Socialand Behav. Sciences

Target groups


Type of publication

Monograph

Due October 2007

2008. XIV, 268 p. (Lecture Notes in Mathematics, Vol. 1923) Soft-

cover

39,95 €

ISBN 978-3-540-74447-4

F. Blanchini, Universita di Udine, Italy; S. Miani, Universita di

Udine, Italy

Set-Theoretic Methods in Control

This self-contained monograph describes basic set-theoretic methods for control and provides a dis-cussion of their links to fundamental problems inLyapunov stability analysis and stabilization, opti-mal control, control under constraints, persistentdisturbance rejection, and uncertain systems anal-ysis and synthesis. The work presents several estab-lished and potentially new applications, along withnumerical examples and case studies. A key themeof the presentation is the trade-off between exact(but computationally intensive) and approximate(but conservative) solutions to problems. Mathe-matical language is kept to the minimum necessaryfor the adequate formulation and statement of mainconcepts. Numerical algorithms for the solution ofthe proposed problems are described in detail. Set-Theoretic Methods in Control is accessible to read-ers familiar with the basics of systems and controltheory; prerequisites such as convexity theory areincluded. Aimed primarily at graduate stu-dents and [..]

Features

A self-contained monograph focused on the areaof set-theoretic methods for control, which has re-cently seen a resurgence of interest Several estab-lished and potentially new applications are presentedIncludes exercises, numerical examples, andcase studies Numerical algorithms for the solution ofthe proposed problems are described in detail; someare available online in MATLAB and C++ Providesa solid [..]

Contents

Preface.- Introduction.- Lyapunov and Lya-punov-like Functions.- Convex Sets and Their Rep-resentation.- Invariant Sets.- Dynamic Pro-gramming.- Set-Theoretic Analysis of Dynamic Sys-tems.- Control of Parameter-Varying Systems.- Con-trol with Time-Domain Constraints.- (Sub-)OptimalControl.- Set-Theoretic Estimation.- Related Top-ics.- Appendix.- References.- Index

Fields of interest

Systems Theory, Control; Control Engineering; Cal-culus of Variations and Optimal Control; Optimiza-tion; Appl.Mathematics/Computational Methods ofEngineering; Numerical and Computational Meth-ods in Engineering

Target groups

Graduate students, researchers, and practitioners inapplied mathematics and engineeering

Type of publication

Monograph

Due November 2007

2008. XVI, 488 p. 119 illus. (Systems & Control: Foundations &

Applications) Hardcover

69,90 €

ISBN 978-0-8176-3255-7


B.G. Blundell, University of the US Virgin Islands

An Introduction to Computer

Graphics and Creative 3-D

Environments

This book introduces the fundamentals of 2-D and3-D computer graphics. Additionally, a range ofemerging, creative 3-D display technologies are de-scribed, including stereoscopic systems, immersivevirtual reality, volumetric, varifocal, and others. In-teraction is a vital aspect of modern computer graph-ics, and issues concerning interaction (includinghaptic feedback) are discussed. Included with thebook are anaglyph, stereoscopic, and Pulfrich view-ing glasses. Topics covered include: •essential math-ematics •vital 2-D and 3-D graphics techniques •keyfeatures of the graphics pipeline (including GPU)•display and interaction techniques •important his-torical milestones Designed to be a core teachingtext at the undergraduate level, accessible to studentswith wide-ranging backgrounds, only an elementarygrounding in mathematics is assumed as key mathsis provided. Regular ‘Over to You’ activities are in-cluded, and each chapter concludes with review anddiscussion questions.

Features

Covers the key areas of computer graphics includingthe relevant mathematics. Stereoscopic and anaglyphglasses will be provided with the book to enable read-ers to undertake some interesting work in connec-tion with 3D images.

Contents

Preface.-Acknowledgements.-Setting the Scene.-A Maths Primer.- Images in a 2-DSpace.- Curves in a 2-D Space.-Interfacing withthe Visual System.- Into the Third Dimension.-Incorporating the third Dimension: Transforma-tions.-3-D Graphics: Representation.- 3-DGraphics: Mainly Rendering.-Creative 3-D DisplaySystems.-Interaction and Haptic Feedback.- Ap-pendix A: Maths: Some Useful Results.- Appendix B:The Curvature of a Varifocal Mirror.- Appendix C:The Scalar Product.- Appendix D: Concerning thePlane.- Feedback to Selected OTU Exercises.- Refer-ences.- Index

Fields of interest

Computer Hardware; Math Applications in Comput-er Science; User Interfaces and Human ComputerInteraction; Computer Appl. in Arts and Humani-ties; Computer Graphics

Target groups

Computer Graphics Undergraduates

Type of publication


Due March 2008


49,95 €

ISBN 978-1-84800-041-4

A.I. Bobenko, TU Berlin, Germany; P. Schröder, California Institute

of Technology, Pasadena, CA, USA; J.M. Sullivan, TU Berlin, Ger-

many; G.M. Ziegler, TU Berlin, Germany (Eds.)

Discrete Differential Geometry

Discrete differential geometry is an active mathe-matical terrain where differential geometry and dis-crete geometry meet and interact. It provides discreteequivalents of the geometric notions and methodsof differential geometry, such as notions of curva-ture and integrability for polyhedral surfaces. Cur-rent progress in this field is to a large extent stimulat-ed by its relevance for computer graphics and mathe-matical physics. This collection of essays, which doc-uments the main lectures of the 2004 OberwolfachSeminar on the topic, as well as a number of addi-tional contributions by key participants, gives a live-ly, multi-facetted introduction to this emerging field.

Features

First book on a newly emerging field of discrete dif-ferential geometry, provides an excellent way to ac-cess this new exciting area Carefully edited collectionof essays by key researchers in the field Surveys fasci-nating connections between discrete geometry anddifferential geometry: for instance circle patterns andtriangulated surfaces on the discrete side connect tominimal surfaces and curvature line [..]

Fields of interest

Convex and Discrete Geometry; Differential Geom-etry

Target groups

Students and researchers in mathematics, in par-ticular, in discrete geometry, differential geometry,mathematical physics, as well as in computer science

Type of publication


Due February 2008

2008. Approx. 350 p. (Oberwolfach Seminars, Vol. 38) Softcover

29,90 €

ISBN 978-3-7643-8620-7

D. Boccaletti, Università di Roma "La Sapienza", Italy; F. Catoni,

Roma, Italy; R. Cannata, ENEA, C.R. Casaccia, Italy; V. Catoni, Ro-

ma, Italy; E. Nichelatti, ENEA, C.R. Casaccia, Italy; P. Zampetti,

ENEA, C.R. Casaccia, Italy

The Mathematics of Minkowski

Space-Time

With an Introduction to Commutative Hypercomplex Num-

bers

This book arose out of original researches of the au-thors on the extension of well-established applica-tions of complex numbers, related to Euclidean ge-ometry, to the space-time symmetry of two-dimen-sional Special Relativity. The system of hyperbolicnumbers (the simplest extension of complex num-bers) is extensively studied and applied to to typicalinstances as the ‘’twin-paradox’’ and a plain exposi-tion of space-time geometry and trigonometry is giv-en. The application of hyperbolic numbers to Spe-cial Relativity suggest trying the possible applicationof multidimensional hypercomplex systems. Com-mutative hypercomplex systems with four unities arestudied and attention is drown on their interestingproperties.

Contents

Part I: The Mathematics of Minkowski Space-Time.- N-Dimensional Hypercomplex Numbersand the associated Geometries.- Trigonometry inthe Minkowski Plane.- Uniform and AcceleratedMotions in the Minkowski Space-Time (Twin Para-dox).- General Two-Dimensional HypercomplexNumbers.- Functions of a Hyperbolic Vari-able.- Hyperbolic Variables on Lorentz Surfaces.-Constant Curvature Lorentz Surfaces.- Generaliza-tion of Two-Dimensional Special Relativity (Hyper-bolic Transformations and the Equivalence Princi-ple).- Part II An Introduction to Commutative Hy-percomplex Numbers.- Commutative [..]

Fields of interest

Geometry; Differential Geometry; Mathemati-cal Methods in Physics; Topological Groups, LieGroups; Analysis

Target groups

Mathematicians, physicists, engineers and interdisci-plinary researchers in mathematical physics or relat-ed fields; to some extent also suitable for lectures ona graduate level

Type of publication

Monograph

Due March 2008

2008. Approx. 200 p. (Frontiers in Mathematics) Softcover

39,90 €

ISBN 978-3-7643-8613-9


P.B. Bochev, Sandia National Laboratories, Albuquerque, NM,

USA; M.D. Gunzburger, Florida State University, Tallahassee, FL,

USA

Least-Squares

Finite Element Methods

Since their emergence finite element methods havebecome one of the most versatile and powerfulmethodologies for the approximate numerical so-lution of PDEs. Today finite element methods arein common use for incompressible fluid flow, heat,transfer, electromagnetics, and convection-diffu-sion-reaction problems, to name a few. This book iswritten with the premise that there is a real, existingneed to put least-squares finite elemenet methods ona common mathematically sound foundation. It isintended to give both the researcher and the practi-tioner a concise guide to the theory and practice ofleast-square finite element methods, their strengthsand weaknesses, established successes, and openproblems. Appendices provide results from function-al analysis and standard finite theory which are usedin various places in the book.

Contents

Part I. Survey of Variational Principles and Associ-ated Finite Element Methods.- Classical Variation-al Methods.- Alternative Variational Formulations.-Part II. Abstract Theory of Least-Squares Finite Ele-ment Methods.- Mathematical Foundations.- First-Order Agmon-Douglis-Nirenberg Systems.- Part III.Least-Squares Methods for Elliptic Problems.- Ba-sic First-Order Systems.- Application to Key Ellip-tic Problems.- Part IV. Extensions of Least-SquaresMethods to other Problems.- The Navier-StokesEquations.- Dissipative Time Dependent Problems.-Hyperbolic Problems.- Control and [..]

Fields of interest


Target groups


Type of publication

Monograph

Due May 2008


54,95 €

ISBN 978-0-387-30888-3


R.d. Boer, University of Essen, Germany; J. Schroeder, University

of Essen, Germany

Tensor Calculus for Engineers

Analytical and Computational Aspects

This textbook introduces to the vector and ten-sor calculus as it is used in continuum mechanics.Therefore, it limits itself to the 3-dimensional Eu-clidian space. It contains, in addition, an introduc-tion to continuum mechanics and linear shell theo-ry. The theoretical concepts of small and finite strainelasticity, its numerical formulation and essentialimplementation aspects are presented in detail. Af-ter setting the variational framework of boundaryvalue problems, several Finite Element representa-tions are discussed. The formulation of isotropic andanisotropic elasticity is performed within a basis-in-dependent formalism. As far as possible illustrativeapproaches are chosen although some of the con-cepts require axiomatic introduction. All chapterswidely consist of examples and exercises. This bookis written mainly for students in civil and mechanicalengineering and bridges the gap between mathemat-ics and its engineering application.

Features

Application-oriented introduction to an importantmathematical tool of theoretical and applied me-chanics Written by engineers mainly for engineeringstudents, no theorem-proof sequences Substantialpart of the book deals with computational aspects

Fields of interest

Continuum Mechanics and Mechanics of Materials;Computational Science and Engineering; DifferentialGeometry; Mathematical Methods in Physics; Nu-merical and Computational Methods in Engineering

Target groups

Students of Mechanical Engineering, Civil Engineer-ing, and Applied Mathematics

Type of publication


Due September 2008


79,95 €

ISBN 978-3-540-24224-6

J.A. Bondy, Université Claude-Bernard, Lyon, France; U.S.R. Mur-

ty, University of Waterloo, ON, Canada

Graph Theory

Graph theory is a flourishing discipline containing abody of beautiful and powerful theorems of wide ap-plicability. The primary aim of this book is to presenta coherent introduction to the subject, suitable asa textbook for advanced undergraduate and begin-ning graduate students in mathematics and comput-er science. It provides a systematic treatment of thetheory of graphs without sacrificing its intuitive andaesthetic appeal. Commonly used proof techniquesare described and illustrated. A second objective isto serve as an introduction to research in graph the-ory. To this end, sections on more advanced topicsare included, and a number of interesting and chal-lenging open problems are highlighted and discussedin some detail. Despite this more advanced material,the book has been organized in such a way that anintroductory course on graph theory can be based onthe first few sections of selected chapters.

Features

By the authors of the classic text, Graph Theory withApplications Serves as both a textbook and an intro-duction to graph theory research, suitable for bothmathematicians and computer scientists Featuresmany new exercises of varying levels of difficulty tohelp the reader master the techniques

Contents

Graphs.- Subgraphs.- Connected Graphs.- Trees.-Separable and Nonseparable Graphs.- Tree-SearchAlgorithms.- Flows in Networks.- Complexity ofAlgorithms.- Connectivity.- Planar Graphs.- TheFour-Colour Problem.- Stable Sets and Cliques.-The Probabilistic Method.- Vertex Colourings.-Colourings of Maps.- Matchings.- Edge Colourings.-Hamilton Cycles.- Coverings and Packings in Direct-ed Graphs.- Electrical Networks.- Integer Flows andCoverings.- Unsolved Problems.- References.- Glos-sary.- Index.

Fields of interest

Combinatorics; Algorithms; Discrete Mathematicsin Computer Science; Mathematics of Computing;Optimization; Operations Research, MathematicalProgramming

Target groups

Advanced undergraduate and graduate students inmathematics and computer science; researchers inmathematics and computer science

Type of publication


Due December 2007

2008. Approx. 665 p. 235 illus. (Graduate Texts in Mathematics,

Vol. 244) Hardcover

54,95 €

ISBN 978-1-84628-969-9

A. Bonfiglioli, Università di Bologna, Italy; E. Lanconelli, Università

di Bologna, Italy; F. Uguzzoni, Università di Bologna, Italy

Stratified Lie Groups and Potential

Theory for Their Sub-Laplacians

The existence, for every sub-Laplacian, of a homoge-neous fundamental solution smooth out of the ori-gin, plays a crucial role in the book. This makes itpossible to develop an exhaustive Potential Theo-ry, almost completely parallel to that of the classicalLaplace operator. This book provides an extensivetreatment of Potential Theory for sub-Laplacians onstratified Lie groups. In recent years, sub-Laplacianoperators have received considerable attention dueto their special role in the theory of linear second-or-der PDE's with semidefinite characteristic form. It al-so provides a largely self-contained presentation ofstratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessi-ble to graduate students and requires no specializedknowledge in algebra nor in differential geometry.It is thus addressed, besides PhD students, to juniorand senior researchers in different areas such as: par-tial differential equations; geometric control theory;geometric [..]

Contents

Part I: Elements of Analysis of Stratified Groups;Stratified Groups and sub-Laplacians.- Abstract LieGroups and Carnot Groups.- Carnot Groups of StepTwo.- Examples of Carnot Groups.- The Fundamen-tal Solution for a sub-Laplacian and Applications.-Part II: Elements of Potential Theory for sub-Lapla-cians; Abstract Harmonic Spaces.- The L-harmonicSpace.- L-subharmonic Functions.- RepresentationTheorems.- Maximum Principle on Unbounded Do-mains.- L-capacity, L-polar Sets and Applications.-L-thinness and L-fine Topology.- d-Hausdorff Mea-sure and L-capacity.- Part III: Further Topics on [..]

Fields of interest

Partial Differential Equations; Potential Theory;Topological Groups, Lie Groups

Target groups


Type of publication

Monograph

Due October 2007

2007. XXVI, 802 p. 23 illus. (Springer Monographs in Mathemat-

ics) Hardcover

79,95 €

ISBN 978-3-540-71896-3


L.L. Bonilla, Universidad Carlos III de Madrid, Spain; M. Moscoso,

Universidad Carlos III de Madrid, Spain; G. Platero, CSIC Madrid ,

Spain; J.M. Vega, Universidad Politécnica de Madrid, Spain (Eds.)

Progress in Industrial Mathematics

at ECMI 2006

ECMI is synonymous with European Mathematicsfor Industry and organizes successful biannual con-ferences. The 14th European Conference for Mathe-matics in Industry held in Leganés (Madrid) focusedon Aerospace, Information and Communications,Materials, Energy and Environment, Imaging, Biol-ogy and Biotechnology, Life Sciences, Finances andother topics including Education in Industrial Math-ematics and web learning. Attendees came from allover the world. Overall, these proceedingsgive a lively overview of the importance of mathe-matical modeling, analysis and numerical methodswhen addressing and solving problems from today’sreal world applications. The accessible presentationof real problems from industry and finance, model-ing, solutions via appropriate numerical and mathe-matical techniques are a source of fresh ideas and in-spiration for mathematicians. Engineers and scien-tists in application fields may find useful ideas andtechniques presented in familiar contexts that mayhelp them to [..]

Features

Proceedings of major industrial math conference

Fields of interest

Computational Mathematics and Numerical Anal-ysis; Partial Differential Equations; ComputationalScience and Engineering; Numerical Analysis; Prob-ability Theory and Stochastic Processes; Statistics forBusiness/Economics/Mathematical Finance/Insur-ance

Target groups

Mathematicians, engineers and physicists, and finan-cial mathematicians in applications fields (aerospace,information and communications, materials, energyand environment, imaging, biology and biotechnolo-gy, life sciences, sinances)

Type of publication

Proceedings

Due October 2007

2007. X, 1000 p. With colour appendix. (The European Consor-

tium for Mathematics in Industry, Vol. 12) Hardcover

99,95 €

ISBN 978-3-540-71991-5

D. Borthwick, Emory University, Atlanta, GA, USA

Spectral Theory of Infinite-Area

Hyperbolic Surfaces

This book introduces geometric spectral theory inthe context of infinite-area Riemann surfaces, pro-viding a comprehensive account of dramatic recentdevelopments in the field. These developments wereprompted by advances in geometric scattering the-ory in the early 1990s which provided new tools forthe study of resonances. Hyperbolic surfaces pro-vide an ideal context in which to introduce these newideas, with technical difficulties kept to a minimum.The spectral theory of hyperbolic surfaces is a pointof intersection for a great variety of areas, includingquantum physics, discrete groups, differential geom-etry, number theory, complex analysis, spectral the-ory, and ergodic theory. The book highlights theseconnections, at a level accessible to graduate studentsand researchers from a wide range of fields. Topicscovered include an introduction to the geometry ofhyperbolic surfaces, analysis of the resolvent of theLaplacian, characterization of the spectrum, scatter-ing theory, resonances and [..]

Features

Provides an expository account of geometric scatter-ing theory Includes recent developments for whichno thorough account exists

Contents

Preface.- Hyperbolic surfaces.- Review of the com-pact case.- Review of the finite-volume case.- Scatter-ing theory in model cases.- Scattering Theory for in-finite-volume hyperbolic surfaces.- Resonances andscattering poles.- Infinite-volume spectral geometry.-Applications.- Appendix A Functional analysis.- Ap-pendix B Asymptotic expansions.- References.- In-dex.

Fields of interest

Partial Differential Equations; Functions of a Com-plex Variable; Differential Geometry; FunctionalAnalysis; Mathematical Methods in Physics

Target groups

Graduate students and researchers in Mathemat-ics and Mathematical Physics with an introductoryknowledge of Functional Analysis, Complex Analy-sis, and Topology

Type of publication

Monograph

Due November 2007

2008. XII, 356 p. 10 illus. (Progress in Mathematics, Vol. 256)

Hardcover

49,90 €

ISBN 978-0-8176-4524-3

P. Borwein, Simon Fraser University, Burnaby, BC, Canada; S.

Choi, Simon Fraser University, Burnaby, BC, Canada; B. Rooney,

Simon Fraser University, Burnaby, BC, Canada; A. Weirathmueller,

University of Western Ontario, London, ON, Canada

The Riemann Hypothesis

A Resource for the Afficionado and Virtuoso Alike

This book presents the Riemann Hypothesis, con-nected problems, and a taste of the body of theo-ry developed towards its solution. It is targeted atthe educated non-expert. Almost all the material isaccessible to any senior mathematics student, andmuch is accessible to anyone with some universitymathematics. The appendices include a selection oforiginal papers. This collection is not very large andencompasses only the most important milestones inthe evolution of theory connected to the RiemannHypothesis. The appendices also include some au-thoritative expository papers. These are the "expertwitnesses” whose insight into this field is both in-valuable and irreplaceable.

Features

Contains recent advances and results in number the-ory Collects papers never before published in bookform Explains the Riemann Hypothesis to someonewithout a background in complex analysis

Contents

Preface.- Why this book.- Analytic preliminaries.-Algorithms for calculating.- Empirical evidence.-Equivalent statements.- Extensions of the riemannhypothesis.- Assuming the riemann hypothesis andits extensions.- Failed attempts at proof.- Formulas.-Timeline.- Expert witnesses.- The experts speak forthemselves.- References.- References.- Index.-

Fields of interest

Number Theory; History of Mathematics

Target groups

Undergraduate and graduate math students, profes-sors

Type of publication

Monograph

Due December 2007

2007. Approx. 588 p. (CMS Books in Mathematics) Hardcover

62,95 €

ISBN 978-0-387-72125-5


I. Bos, University of Wageningen, The Netherlands; P. Caligari, In-

stituto de Biologia Vegetal y Biotecnologia, Universidad de Talca,

Chile

Selection Methods in Plant

Breeding

2nd Edition

Written for plant breeders, researchers and post-graduate students, this book provides a comprehen-sive review of the methods and underlying theoreti-cal foundations used for selection in plant breedingprogrammes. The authors review basic elements ofpopulation and quantitative genetic theory, and con-sider in a unique way the tackling of the problemspresented by soil heterogeneity and intergenotypiccompetition when selecting quantitative characters.The efficacy of different methods with regard to de-veloping new varieties of crops are discussed for dif-ferent modes of reproduction. This work provides asound basis for informed decision making within theprocess of a selection programme.

Features

Concise text on population and quantitative genetictheory Comprehensive treatment of selection meth-ods for qualitative and quantitative traits Extensivetreatment of problems due to soil heterogeneity andintergenotypic competition

Contents

Preface.- Preface to the 2nd edition.-1 Introduc-tion.-2 Population genetic effects of cross-fertiliza-tion.-3 Population genetic effects of inbreeding.-4Assortative mating and disassortative mating.-5 Pop-ulation genetic effects of selection with regard to sexexpression.-6 Selection with regard to a trait withqualitative variation.-7 Random variation of allelefrequencies.-8 Components of the phenotypic valueof traits with quantitative variation.-9 Effects of themode of reproduction on the expected genotypic val-ue.-10 Effects of the mode of reproduction on the ge-netic variance.-11 [..]

Fields of interest

Plant Sciences; Genetics and Population Dynamics;Agriculture

Target groups

Researchers dealing with the inheritance of quantita-tive traits Students dealing with quantitative aspectsof plant breeding Plant breeders dealing with geneticimprovement in relation to quantitative traits

Type of publication

Contributed volume

Due October 2007

2007. XII, 456 p. Hardcover

174,95 €

ISBN 978-1-4020-6369-5

B. Bourdin, Louisiana State University, Baton Rouge, LA, USA.;

G.A. Francfort, Université Paris-Nord, Villetaneuse, Fance; J.-J.

Marigo, Université Pierre et Marie Curie, Paris, France

The Variational Approach to

Fracture

This volume offers a panorama of the variational ap-proach to brittle fracture that has developed in thepast eight years or so. The key concept dates back toGriffith and consists in viewing crack growth as theresult of a competition between bulk and surface en-ergy. Griffith’s insight in the light of the contempo-rary tools of the Calculus of Variations is revisited.Also, Barenblatt’s contributions are imported andthere is a continuous striving to gauge the respectivemerits of both types of surface energy. The advocat-ed variational approach provides an incisive pictureof initiation and propagation whose features are de-tailed. The material is mathematical in nature, butnot overly preoccupied with technicalities. An effortis made to connect the approach with more classicaltreatments of fracture, and to illustrate the results insimple test settings, or through relevant numericalsimulations. Reprinted from Journal of Elas-ticity Vol. 89:1-2, 2007.

Features

Offers a new and unified view of fracture evolutionin a brittle solid Treats crack evolution from its initi-ation all the way to the failure of the sample Modelsboth crack initiation, crack path and crack extensionfor arbitrary geometries and loads Presents originalresults, both from a theoretical and from a numericalstandpoint Offers a unified treatment of fracture andfatigue

Contents

From the contents 1 Introduction. 2 Going variation-al. 3 Stationarity versus local or global minimality –A comparison. 4 Initiation. 5 Irreversibility. 6 Path.7 Griffith vs. Barenblatt. 8 Numerics and Griffith. 9Fatigue. Appendix. Glossary. References.

Fields of interest

Continuum Mechanics and Mechanics of Materials;Mathematical Modeling and Industrial Mathematics

Target groups

Mechanicians, especially those involved in materi-als science and/or computational mechanics; appliedmathematicians involved in the mathematics of ma-terials and/or the calculus of variations; structural,civil and mechanical engineers interested in fractureand its numerical simulation at a structural level

Type of publication

Monograph

Due October 2007

Reprinted from JOURNAL OF ELASTICITY (89:1-2)


69,95 €

ISBN 978-1-4020-6394-7

L. Boutet de Monvel, Université Pierre et Marie Curie, Paris,

France

Toeplitz Operators and

Deformation-Algebras

This work provides a comprehensive treatment ofToeplitz operators and closely related mathemati-cal theories, in particular, star-products or deforma-tion algebras. Toeplitz operators are closely related topseudodifferential operators. They give rise to an es-sentially isomorphic symbolic calculus and to muchof pseudodifferential analysis, as applied to resultson propagation of singularities. Of significance is thefact that Toeplitz operators are useful for problemsin deformation quantization. The symbolic calculusof pseudodifferential and Toeplitz operators is also aspecial case of star-product. The book will be suitablefor graduate students and mathematicians in the ar-eas of differential geometry and operator theory.

Contents

Preface * Review of Microanalysis * The Bergmanand Szego Kernels * Toeplitz Operators * SymbolicCalculus and Deformation Algebras * Bibliography* Index

Fields of interest

Operator Theory; Associative Rings and Algebras;Global Analysis and Analysis on Manifolds; Differ-ential Geometry

Target groups

researchers graduate studentsn/a

Type of publication

Monograph

Due May 2009


400) Hardcover

ISBN 978-0-8176-3226-7


L.d. Branges, Purdue University, Lafayette, IN

Square Summable Power Series

Fields of interest

Real Functions; Functions of a Complex Variable;Abstract Harmonic Analysis

Type of publication

Monograph

Due November 2008

2008. Approx. 400 pp. (Springer Monographs in Mathematics)

Hardcover

73,83 €

ISBN 978-3-540-57026-4

M.H. Breitner, Leibniz Universität Hannover, Germany; G. Denk,

Quimonda AG Products, München, Germany; P. Rentrop, Tech-

nische Universität München, Germany (Eds.)

From Nano to Space

Applied Mathematics Inspired by Roland Bulirsch

Graduate students and postgraduates in Mathemat-ics, Engineering and the Natural Sciences want tounderstand Applied Mathematics for the solutionof everyday problems. Scholars of Roland Bulirschworking at universities, at research institutions andin industry combine research and review papers inthis anthology. Their work is summed up under thetitle "From Nano to Space – Applied MathematicsInspired by Roland Bulirsch". More than 20 contri-butions are divided into scales: nano, micro, macro,space and real life. The contributions survey currentresearch and present case studies very interestingand informative for both graduate students and post-graduates. The contributions show how modern Ap-plied Mathematics influences our everyday lives. Sev-eral contributions include complex graphics and il-lustrations, many of them in color.

Fields of interest

Applications of Mathematics; Computational Mathe-matics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering

Target groups

Graduate students, postgraduates and researchers

Type of publication

Contributed volume

Due October 2007

2008. X, 342 p. 124 illus., 29 in Color Hardcover

54,95 €

ISBN 978-3-540-74237-1

S. Brenner, L.R. Scott

The Mathematical Theory of Finite

Element Methods

This book develops the basic mathematical theoryof the finite element method, the most widely usedtechnique for engineering design and analysis. It for-malizes basic tools that are commonly used by re-searchers in the field but not previously published.The book will be useful to mathematicians as well asengineers and physical scientists. It can be used fora course that provides an introduction to basic func-tional analysis, approximation theory, and numeri-cal analysis, while building upon and applying basictechniques of real variable theory. Different coursepaths can be chosen, allowing the book to be used forcourses designed for students with different interests.For example, courses can emphasize physical appli-cations, or algorithmic efficiency and code develop-ment issues, or the more difficult convergence theo-rems of the subject. This new edition is substantial-ly updated with additional exercises throughout andnew chapters on Additive Schwarz Preconditionersand Adaptive Meshes. Review of [..]

Features

-A rigorous and thorough mathematical introduc-tion to the foundations of the subject -A clear andconcise treatment of modern fast solution techniques

Contents

Preface(3rdEd).- Preface(2ndEd).- Preface(1stED).-Basic Concepts.- Sobolev Spaces.- Variational For-mulation of Elliptic Boundary Value Problems.- TheConstruction of a Finite Element of Space.- Polyno-mial Approximation Theory in Sobolev Spaces.- n-Dimensional Variational Problems.- Finite ElementMultigrid Methods.- Additive Schwarz Precondition-ers.- Max-norm Estimates.- Adaptive Meshes.- Vari-ational Crimes.- Applications to Planar Elasticity.-Mixed Methods.- Iterative Techniques for MixedMethods.- Applications of Operator-InterpolationTheory.- References.- Index.

Fields of interest

Computational Mathematics and Numerical Analy-sis; Numerical and Computational Methods in Engi-neering; Theoretical and Applied Mechanics; Func-tional Analysis

Target groups

Graduate students, researchers, practitioners

Type of publication


Due January 2008


Hardcover

53,90 €

ISBN 978-0-387-75933-3


A. Bronstein, Technion-Israel Institute of Technology, Haifa, Is-

rael; M. Bronstein, Technion-Israel Institute of Technology, Haifa,

Israel; R. Kimmel, Technion-Israel Institute of Technology, Haifa,

Israel

Numerical Geometry of Non-Rigid

Shapes

Deformable objects are ubiquitous in the world sur-rounding us, on all levels from micro to macro. Theneed to study such shapes and model their behaviorarises in a wide spectrum of applications, rangingfrom medicine to security. In recent years, non-rigidshapes have attracted a growing interest, which hasled to rapid development of the field, where state-of-the-art results from very different sciences - theoret-ical and numerical geometry, optimization, linear al-gebra, graph theory, machine learning and comput-er graphics, to mention a few - are applied to findsolutions. This book gives an overview of currentstate of science in analysis and synthesis of non-rigidshapes. Everyday examples are used to explain con-cepts and to illustrate different techniques. Self-con-tained presentation of topics unfolds systematicallyand numerous figures enrich the engaging exposi-tion. Practice problems follow the end of each chap-ter, with detailed solutions to selected problems inthe appendix. A gallery of [..]

Features

Gives an up-to-date overview of the concepts andtechniques in analysis and synthesis of non-rigidshapes Bridges between theoretical and appliedfields, spanning computer vision, pattern recogni-tion and computer graphics Presents practical state-of-the-art algorithms and methods and exemplifiesthem on real applications Engaging exposition en-riched by numerous figures and everyday examplesReference to public [..]

Contents

Introduction.- A Taste of Geometry.- Discrete Ge-ometry.- Shortest Paths and Fast Marching Meth-ods.- Numerical Optimization.- In the Rigid King-dom.- Multidimensional Scaling.- Spectral Embed-ding.- Non-Euclidean Embedding.- Isometry-Invari-ant Similarity.- Partial Similarity.- Non-Rigid Corre-spondence and Calculus of Shapes.- Three-Dimen-sional Face Recognition.- Epilogue.- Solutions of Se-lected Problems.- Notation.- Acronyms.- Glossary.-References.- Subject Index.- Author Index.

Fields of interest

Computer Imaging, Vision, Pattern Recognition andGraphics; Geometry; Computational Mathematicsand Numerical Analysis

Target groups

Graduate students, teachers, researchers, profession-als

Type of publication


Due April 2008

2008. Approx. 320 p. (Monographs in Computer Science) Soft-

cover

53,90 €

ISBN 978-0-387-73300-5

J.H. Bruinier, University of Cologne, Germany; G. van der Geer,

University of Amsterdam, The Netherlands; G. Harder, University

of Bonn, Germany; D. Zagier, Max-Planck-Institut für Mathematik,

Bonn, Germany; K. Ranestad, University of Oslo, Norway (Ed.)

The 1-2-3 of Modular Forms

Lectures at a Summer School in Nordfjordeid, Norway

This book grew out of three series of lectures givenat the summer school on "Modular Forms and theirApplications" at the Sophus Lie Conference Centerin Nordfjordeid in June 2004. The first series treatsthe classical one-variable theory of elliptic modu-lar forms. The second series presents the theory ofHilbert modular forms in two variables and Hilbertmodular surfaces. The third series gives an introduc-tion to Siegel modular forms and discusses a con-jecture by Harder. It also contains Harder's originalmanuscript with the conjecture. Each part treats anumber of beautiful applications, and together theyform a comprehensive survey for the novice and auseful reference for a broad group of mathemati-cians.

Features

Outstanding lectures by outstanding mathematiciansincluding Don Zagier

Contents

Part I. Don Zagier - Elliptic Modular Forms andTheir Applications.- Part II. Jan Hendrik Bruinier- Hilbert Modular Forms and Their Applications.-Part III: Gerard van der Geer - Siegel ModularForms.- Part IV: Günter Harder - A Congruence Be-tween a Siegel and an Elliptic Modular Form.

Fields of interest

Number Theory; Algebra; Algebraic Geometry;Mathematical and Computational Physics

Target groups

Graduate students and lecturers in mathematics

Type of publication


Due December 2007

2008. Approx. 220 p. (Universitext) Softcover

49,95 €

ISBN 978-3-540-74117-6

J.-L. Brylinski, Pennsylvania State University

Loop Spaces, Characteristic Classes

and Geometric Quantization

This book deals with the differential geometry ofmanifolds, loop spaces, line bundles and groupoids,and the relations of this geometry to mathemati-cal physics. Various developments in mathemati-cal physics (e.g., in knot theory, gauge theory, andtopological quantum field theory) have led mathe-maticians and physicists to search for new geomet-ric structures on manifolds and to seek a synthesisof ideas from geometry, topology and category theo-ry. In this spirit, this book develops the differentialgeometry associated to the topology and obstructiontheory of certain fiber bundles (more precisely, as-sociated to grebes). The theory is a 3-dimensionalanalog of the familiar Kostant--Weil theory of linebundles. In particular the curvature now becomes a3-form. Applications presented in the book involveanomaly line bundles on loop spaces and anoma-ly functionals, central extensions of loop groups,Kähler geometry of the space of knots, Cheeger--Chern--Simons secondary characteristics classes, andgroup [..]

Features

Discusses open problems and further research exten-sions Written by a distinguished and well-publishedresearcher in the field Includes many examples andfigures

Contents

Introduction.- Complexes of Sheaves and Their Co-homology.- Line Bundles and Geometric Quantiza-tion.- Kähler Geometry of the Space of Knots.- De-gree 3 Cohomology: The Dixmier-Douady Theory.-Degree 3 Cohomology: Sheave of Groupoids.- LineBundles over Loop Spaces.- The Dirac Monopole.-Bibliography.- List of Notations.- Index.

Fields of interest

Differential Geometry; Topology; Category Theory,Homological Algebra

Target groups

Graduate students and researchers with an interestin topology, geometry, Lie algebra, and mathematicalphysics

Type of publication


Due November 2007

Originally published as volume 107 in the series: Progress in

Mathematics

2008. XVIII, 300 p. 6 illus. (Modern Birkhäuser Classics) Softcover

34,90 €

ISBN 978-0-8176-4730-8


R.S. Burachik, University of South Australia, Mawson Lakes, Aus-

tralia; A.N. Iusem, IMPA, Rio de Janiero, Brazil

Set-Valued Mappings and

Enlargements of Monotone

Operators

Set-valued analysis is an essential tool for the math-ematical formulation of many real-life situations,e.g., equilibrium theory in mathematical economics.This work offers the first comprehensive treatmentin book form of the fairly new subdiscipline of en-largements of maximal monotone operators, includ-ing several important new results in the field. In thelast decades, with the development of nonsmoothoptimization, effective algorithms have been devel-oped to solve these kinds of problems, such as nons-mooth variational inequalities. Several of these meth-ods, such as bundle methods for variational prob-lems, are fully developed and analyzed in this book.The first chapters provide a self-contained review ofthe basic notions and fundamental results in set-val-ued analysis, including set convergence and continu-ity of set-valued mappings together with many im-portant results in infinite-dimensional convex analy-sis, leading to the classical fixed point results due toEkeland, Caristi and Kakutani. Next, [..]

Features

First comprehensive treatment in book form of thefairly new subdiscipline in set-valued analysis of en-largements of maximal monotone operators Presentsseveral important new results in the field Addressedto graduate students, mathematicians, engineers,economists, and researchers Contains extensive exer-cises and examples throughout the text

Contents

List of Figures.- Dedication.- Acknowledgments.-Preface.- Introduction.- Set Convergence and Point-to-Set Mappings.- Convex Analysis and Fixed PointTheorems.- Maximal Monotone Operators.- 5. En-largements of Monotone Operators.- Recent Topicsin Proximal Theory.- Bibliography.- Notation.- In-dex.

Fields of interest

Optimization; Operator Theory; Operations Re-search, Mathematical Programming; Operation Re-search/Decision Theory; Calculus of Variations andOptimal Control; Optimization; Analysis

Target groups

Graduate students and researchers in pure andapplied mathematics, as well as engineers andeconomists interested in nonsmooth optimization,variational inequalities and nonlinear equations ininfinite-dimensional spaces

Type of publication


Due November 2007

2008. XIV, 294 p. (Springer Optimization and Its Applications, Vol.

8) Hardcover

62,95 €

ISBN 978-0-387-69755-0

J. Bures, Charles University, Prague, Czech Republic; P.V. Lancker,

Ghent University, Ghent, Belgium; F. Sommen, Ghent University,

Ghent, Belgium; V. Soucek, Charles University, Prague, Czech Re-

public

Function Theory for Higher Spin

Equations

This text examines functions on Rn (rather thanspinor-valued functions) with values in the Cliffordalgebra in higher dimensions. There is a close con-nection between the higher dimensional analogues ofthe Dolbeault complex and properties of solutions ofhigher spin analogues of the Rarita–Schwinger equa-tions. An examination of a number of related ques-tions that are now well understood forms the maintopic of this book. Two different methods are pre-sented in parallel for describing function theory forhigher spin equations. One is based on results andlanguage developed over many decades in the Clif-ford analysis setting; the other on differentialgeometry, in particular, from recent research con-cerning invariant differential operators on manifoldswith a given parabolic structure. The reader requiresonly a standard knowledge of real and complex anal-ysis, along with the basics of analysis on manifolds.Facts needed from the classification of invariant first-order systems on conformal [..]

Features

Examines functions on Rn (rather than spinor-val-ued functions) with values in the Clifford algebrain higher dimensions Two different methods arepresented in parallel for describing function theoryfor higher spin equations: one basedon Clifford analysis, the other on dif-ferential geometry For grad students and re-searchers in analysis, geometry, PDEs, and mathphysics [..]

Contents

Preface.- Prolog: Conformally Invari-ant Equations on the Sphere.- Two DiracEquations.- Symmetric Analogues of Rari-ta--Schwinger Equations.- The Three-dimen-sional Case.- The Four-dimensional Case.- Avenues for Future Research.- Appendix 1:Conformally Invariant First-order Differential Equa-tions on Manifolds.- Appendix 2: RepresentationTheory of the Orthogonal Group.- Blibliography.-Index.

Fields of interest

Functions of a Complex Variable; MathematicalMethods in Physics; Differential Geometry; GlobalAnalysis and Analysis on Manifolds; Several Com-plex Variables and Analytic Spaces; Abstract Har-monic Analysis

Target groups

Graduate students and researchers in mathematicalphysics, analysis, geometry, and PDEs

Type of publication


Due July 2009

2009. Approx. 300 p. 10 illus. (Progress in Mathematical Physics,

Preliminary entry 1520) Hardcover

ISBN 978-0-8176-4502-1

D. Burghelea, Ohio State University, Columbus, OH, USA; R. Mel-

rose, MIT, Cambridge, CA, USA; A. Mishchenko, Moscow State

University, Russia; E. Troitsky, Moscow State University, Russia

(Eds.)

C*-algebras and Elliptic Theory II

This book consists of a collection of original, refer-eed research and expository articles on elliptic as-pects of geometric analysis on manifolds, includingsingular, foliated and non-commutative spaces. Thetopics covered include the index of operators, torsioninvariants, K-theory of operator algebras and L2-in-variants. The results presented in this book, which islargely inspired and stimulated by the Atiyah-Singerindex theorem, should be of interest to graduatesand researchers in mathematical physics, differentialtopology and differential analysis.

Features

Contributions by leading specialists in the field Rea-sonable balance between research, expository andmixed papers Presentation of several principal re-search directions in the field

Contents

Preface.- Lefschetz Distribution of Lie Foliations.-Torsion as Function on the Space of Representa-tions.- K-theory of Twisted Group Algebras.- Twist-ed Burnside Theorem for Two-Step Torsion-freeNilpotent Groups.- Ihara Zeta Functions for PeriodicSimple Graphs.- Adiabatic Limits and the Spectrumof the Laplacian on Foliated Manifolds.- Non-stan-dard Podle's Spheres.- Elliptic Theory on Manifoldswith Corners.- Dixmier Traceability for GeneralPseudo-differential Operators.- Topological Invari-ants of Bifurcation.- L2-Invariants and Rank Metric.-Group Bundle Duality.- A New Topology on [..]

Fields of interest

Functional Analysis

Target groups

Graduates, postgraduates and researchers working inindex theory, non-commutative geometry, singularspaces, operator algebras, K-theory or mathematicalphysics

Type of publication


Due March 2008

2008. Approx. 320 p. (Trends in Mathematics) Hardcover

99,00 €

ISBN 978-3-7643-8603-0


E. Buzano, Università di Torino, Italia; L. Rodino, Università di

Torino, Italia

Global Pseudo-differential Calculus

on Euclidean Spaces

The book presents a global pseudo-differential calcu-lus in Euclidean spaces, which includes SG as well asShubin classes and their natural generalizations con-taining Schroedinger operators with non-polynomi-al potentials. This calculus is applied to study globalhypoellipticity for several pseudo-differential opera-tors, spectral properties and complex powers of hy-poelliptic operators, Schatten-von Neumann classes,the Connes-Wodzicki residue in Euclidean spaces,exponential decay of eigenfunctions, regularity anddecay of homoclinics for semilinear equations, trav-elling waves. The book is completely self-containedand accessible to graduate students.

Features

Addresses global pseudo-differential calculus and hy-poellipticity Includes classic calculus as a special caseGives several applications to global problems in Eu-clidean spaces, including non-linear PDEs

Contents

Background Material.- Global Pseudo-differentialCalculus.- Globally Hypoelliptic PDEs.- SpectralProperties of Pseudo-differential Operators.- OtherApplications.- Appendix.- Bibliography.- Index.

Fields of interest

Partial Differential Equations; Global Analysis andAnalysis on Manifolds; Fourier Analysis; FunctionalAnalysis

Target groups

Graduates, postgraduates, and researchers in PDEsand mathematical physics

Type of publication

Monograph

Due May 2008

2008. Approx. 350 p. (Pseudo-differential Operators, Vol. 1) Soft-

cover

49,90 €

ISBN 978-3-7643-8511-8

P. Calter, Vermont Technical College, Randolph Center, VT, USA

Squaring the Circle

Geometry in Art and Architecture

This truly unique new title should appeal to bothmathematicians and mathematics educators. Itshould also find a small market among profession-al and reference book buyers: mathematical profes-sionals with interest in travel, art, architecture. Thetitle is intended for math students who are interest-ed in art, or art students with an interest (or require-ment) in mathematics, or professionals with inter-est in mathematics and art. Geometry concepts areintroduced by analyzing well known buildings andworks of art. The book is packaged with an accesscode which allows the reader into a protected site,which will contain most of the fine art from the bookin full color as well as teaching resources. The textappeals both to mathematicians and to artists andwill generally be used in courses that bridge the twosubjects.

Features

Each chapter contains numerous exercises andprojects. Some of the exercises are simple computa-tions whereas others require in depth research andcould become full semester long projects. Includesexercises and constructions which may be complet-ed with straight edge and compass or computer toolssuch as The Geometer’s Sketchpad®. Mathematicalconcepts presented geometrically and within thecontext of art and [..]

Contents

Music of the Spheres.- The Golden Ratio.- The Tri-angle.- Ad Quadratum and the Sacred Cut.- Poly-gons, Tilings, and Sacred Geometry.- The Circle.-Circular Designs in Architecture.- Squaring the Cir-cle.- The Ellipse and the Spiral.- The Solids.- TheSphere and Celestial Themes in Art & Archi-tecture.- Brunelleschi’s Peepshow and the Origins ofPerspective.- Fractals.- Appendices.- General Index.

Fields of interest

Geometry; History of Mathematics; Design, general(Design, allgemein)

Target groups

As part of the NSF-funded Mathematics Across theCurriculum Project at Dartmouth College, this textwas initially intended for a cross-curricular math-ematics course; appeals to mathematicians and toartists and will generally be used in courses thatbridge the two subjects.

Type of publication


Due November 2007

2007. Approx. 400 p. Also available online. Softcover

69,95 €

ISBN 978-1-930190-82-5

D. Calvetti, Case Western Reserve University, Cleveland, OH, USA;

E. Somersalo, Helsinki University of Technology, Helsinki, Finland

An Introduction to Bayesian

Scientific Computing

Ten Lectures on Subjective Computing

This book has been written for undergraduate andgraduate students in various areas of mathematicsand its applications. It is for students who are willingto get acquainted with Bayesian approach to compu-tational science but not necessarily to go through thefull immersion into the statistical analysis. It has alsobeen written for researchers working in areas wheremathematical and statistical modeling are of centralimportance, such as biology and engineering.

Features

Expository accessible book, internationally knownauthors

Contents

Introduction .- Inverse Problems and SubjectiveComputing.- Basic Problem of Statistical Infer-ence.-The Praise Of Ignorance: Randomness as Lackof Information.- Basic Problem in Numerical LinearAlgebra.- Sampling: First Encounter.- Statistically In-spired Preconditioners.- Conditional Gaussian Den-sities and Predictive Envelopes.- More Applicationsof the Gaussian Conditioning.- Sampling: The RealThing.- Wrapping up: Hypermodel, Dynamic Prior-conditioners and Bayesian Learning.

Fields of interest

Computational Science and Engineering; Statisticsand Computing/Statistics Programs; ComputationalMathematics and Numerical Analysis; ProbabilityTheory and Stochastic Processes

Target groups

Graduate students, researchers

Type of publication


Due December 2007

2007. Approx. 200 p. (Surveys and Tutorials in the Applied Math-

ematical Sciences, Vol. 2) Softcover

32,95 €

ISBN 978-0-387-73393-7


J. Cannon, University of Sydney, NSW, Australia; C. Playoust, Uni-

versity of Sydney, NSW, Australia

Algebraic Programming with

Magma I

An Introduction to the Magma Language

This book, written in two volumes, is an introducto-ry manual for Magma, a programming language de-signed for the investigation of algebraic, geometricand combinatorial structures, or "magmas". It pre-sumes no knowledge of computer programming, andits examples are chosen to illustrate language and al-gorithmic features as simply as possible. Magma isa sophisticated tool for experimentation, education,and computer-aided proof, useful for both studentsand professional mathematicians. Volume I explainsthe language and user environment in detail, where-as Volume II deals with the major algebraic, geomet-rical and combinatorial structures implemented inthe system.

Features

This book together with its companion volume "Al-gebraic Programming with Magma II" are the firstand only handbooks on the computer algebra systemMagma available at present.

Contents

Volume I:Preface.- Part I. Overview: Using Mag-ma.- Developed Examples.- Part II. The Language:Basic Ideas.- Algebraic Structures.- CondititonalStatements and Expressions.- Aggregate Structures.-Mappings and Homomorphisms.- Functions andProcedures.- Iterative Statements.- Intrinsics, Sig-natures, and Packages.- Part III. The User Inter-face: Online Help.- Strings.- Printing and User In-put.- Files and External Processes.- The User Envi-ronment.- Part IV. Appendices: Reserved Words.-Precedence of Operators.- Summary of the Gram-mar.- References.- Index

Fields of interest

Algorithms; Algebra; Number Theory; Symbolic andAlgebraic Manipulation

Target groups

researchers and students in mathematics and com-puter science

Type of publication


Due June 2008

2008. Approx. 330 pp. Softcover

27,57 €

ISBN 978-3-540-62746-3

J. Cannon, University of Sydney, NSW, Australia; C. Playoust, Uni-

versity of Sydney, NSW, Australia; W. Bosma, Universiteit van Ni-

jmegen, The Netherlands

Algebraic Programming with

Magma II

An Introduction to the Magma Categories

This book, written in two volumes, is an introducto-ry manual for Magma, a programming language de-signed for the investigation of algebraic, geometricand combinatorial structures, or "magmas". It pre-sumes no knowledge of computer programming, andits examples are chosen to illustrate language and al-gorithmic features as simply as possible. Magma isa sophisticated tool for experimentation, education,and computer-aided proof, useful for both studentsand professional mathematicians. Volume I explainsthe language and user environment in detail, where-as Volume II deals with the major algebraic, geomet-rical and combinatorial structures implemented inthe system.

Features

This book together with its companion volume "Al-gebraic Programming with Magma I" are the firstand only handbooks on the computer algebra systemMagma available at present.

Contents

Volume II: Part V. Rings and Fields: Overview ofRings and Fields.- The Ring of Integers. UnivariatePolynomial Rings.- Multivariate Polynomial Rings.-Power Series and Laurent Series.- Finite Fields.-Number Fields.- The Real and Complex Fields.- PartVI. Modules and Algebras: Vector Spaces and Ma-trix Spaces.- Matrix Algebras.- Part VII. Groups:Overview of Groups.- Finitely-Presented Groups.-Abelian Groups.- Permutation Groups.- MatrixGroups.- Part VIII. Algebraic Geometry: EllipticCurves.- Part IX. Geometric and CombinatorialStructures: Enumerative Combinatorics.- Overviewof [..]

Fields of interest

Algorithms; Algebra; Number Theory; Symbolic andAlgebraic Manipulation

Target groups

Researchers and students in mathematics and com-puter science

Type of publication


Due June 2008

2008. Approx. 530 pp. Softcover

32,24 €

ISBN 978-3-540-62747-0

X.-R. Cao, Hong Kong University of Sciences and Technology,

Hong Kong, China

Stochastic Learning and

Optimization

A Sensitivity-Based Approach

Performance optimization is vital in the design andoperation of modern engineering systems, includ-ing communications, manufacturing, robotics, andlogistics. Most engineering systems are too compli-cated to model, or the system parameters cannot beeasily identified, so learning techniques have to beapplied. This is a multi-disciplinary area which hasbeen attracting wide attention across many disci-plines. Areas such as perturbation analysis (PA) indiscrete event dynamic systems (DEDSs), Markovdecision processes (MDPs) in operations research,reinforcement learning (RL) or neuro-dynamic pro-gramming (NDP) in computer science, identificationand adaptive control (I&AC) in control systems,share the common goal: to make the "best decision"to optimize system performance. This book providesa unified framework based on a sensitivity point ofview. It also introduces new approaches and propos-es new research topics within this sensitivity-basedframework.

Features

Combines currently prominent research on rein-forcement learning / neuro-dynamic programmingwith a unique research approach based on sensi-tivity analysis and discrete-event systems conceptsPresents a new perspective on a popular topic by awell respected expert in the field

Contents

Perturbation Analysis of Queueing Systems.- Per-turbation Analysis of Markov Chains.- PerformanceSensitivities of Markov Processes.- Learning and Op-timization with Perturbation Analysis.- Markov De-cision Processes.- Ergodic Systems.- Sample-Path-Based Policy Iteration.- Reinforcement Learning.-Stochastic Approximation.- Temporal DifferenceMethods.- Identification and Adaptive Control.-Constructing Sensitivity Formulas.- Event-BasedOptimization of Markov Systems.- Estimating Ag-gregated Potentials.

Fields of interest

Discrete Mathematics in Computer Science; Artifi-cial Intelligence (incl. Robotics); Calculus of Varia-tions and Optimal Control; Optimization; Probabil-ity Theory and Stochastic Processes; Operation Re-search/Decision Theory

Target groups

Graduate students, system engineers, operations en-gineers and researchers, complex system theorists,artificial intelligence and reinforcement learning re-searchers, and the entire optimization community

Type of publication

Monograph

Due November 2007


109,95 €

ISBN 978-0-387-36787-3


J. Caramalho Domingues, University of Minho, Braga, Portugal

Lacroix and the Calculus

Silvestre François Lacroix (Paris, 1765 - ibid., 1843)was not a prominent mathematical researcher, buthe was certainly a most influential mathematicalbook author. His most famous work is the three-vol-ume Traité du calcul différentiel et du calcul intégral(1797-1800; 2nd ed. 1810-1819) – an encyclopedicappraisal of 18th-century calculus which remainedthe standard reference on the subject through muchof the 19th century. The Calculus According to S.F.Lacroix (1765-1843) is a study of Lacroix’s largeTraité, making use of its unique bibliography to ex-plore late 18th-century calculus, and how it is reflect-ed in Lacroix’s account. Its adaptation into the short-er, textbook version Traité élémentaire de calcul…(1802; several later editions) is also addressed.

Features

First global and detailed study of Lacroix's Traité ducalcul Compares this major reference workwith its background and sources Includes transcrip-tions of Lacroix's research manuscripts, and of docu-ments related to the teaching of analysis at the ÉcolePolytechnique

Fields of interest

History of Science; History of Mathematics

Target groups

Historians of mathematics with interest in the calcu-lus, education and revolutionary France

Type of publication

Monograph

Due April 2008

2008. Approx. 470 p. (Science Networks. Historical Studies, Vol.

36) Hardcover

119,00 €

ISBN 978-3-7643-8637-5

G. Carlino, G. D'Ambrosio, L. Merola, P. Paolucci, G. Ricciardi (Eds.)

IFAE 2007

Italian Meeting on High Energy Physics

This book collects the Proceedings of the Workshop"Incontri di Fisica delle Alte Energie (IFAE) 2007,Napoli, 11-13 April 2007". This is the sixth editionof a series of meetings on fundamental research inparticle physics and was attended by about 160 re-searchers. Presentations, both theoretical and ex-perimental, addressed the status of Physics of theStandard Model and beyond, Flavour phyisc, Neu-trino and Astroparticle physics, new technology inhigh energy physics. Special emphasis was given tothe expectations of the forthcoming Large HadronCollider, due in operation at the end of 2007. Thevenue of plenary sessions interleaved with parallelones allowed for a rich exchange of ideas, presentedin these Proceedings, that form a coherent pictureof the findings and of the open questions in this ex-tremely challenging cultural field. The venue of ple-nary sessions interleaved with parallel ones allowedfor a rich exchange of ideas, presented in these Pro-ceedings, that form a coherent picture of [..]

Fields of interest

Physics beyond the Standard Model; NuclearPhysics, Heavy Ions, Hadrons; Elementary Particles,Quantum Field Theory; Astrophysics; Particle Accel-eration and Detection, Beam Physics

Target groups

libraries, scientists, institutes, practitioners, graduatestudents

Type of publication

Proceedings

Due February 2008

2008. Circa 250 pagg. Softcover

65,95 €

ISBN 978-88-470-0746-8

W. Carnielli, University of Campinas (UNICAMP), Brazil; M.

Coniglio, University of Campinas (UNICAMP), Brazil; D.M. Gabbay,

King's College, London, United Kingdom; P. Gouveia, Instituto

Superior Tecnico, Lisbon, Portugal; C. Sernadas, Instituto Superi-

or Tecnico, Lisbon, Portugal

Analysis and Synthesis of Logics

How to Cut and Paste Reasoning Systems

Starting with simple examples showing the relevanceof cutting and pasting logics, the monograph devel-ops a mathematical theory of combining and decom-posing logics, ranging from propositional and first-order based logics to higher-order based logics aswell as to non-truth functional logics. The theorycovers mechanisms for combining semantic struc-tures and deductive systems either of the same or dif-ferent nature (for instance, two Hilbert calculi or aHilbert calculus and a tableau calculus). The impor-tant issue of preservation of properties is extensive-ly addressed. For instance, sufficient conditions areprovided for a combined logic to be sound and com-plete when the original component logics are knownto be sound and complete. The book brings the read-er to the front line of current research in the field byshowing both recent achievements and directions offuture investigations (in particular, multiple openproblems). It also provides examples of potential ap-plications in emergent fields like [..]

Features

First book addressing both composition and decom-position of logics Tool box for combining and de-composing logics in different guises Mathematicalapproach Several examples in diverse areas such assoftware specification, knowledge representation,argumentation theory, networks, security protocolsand quantum computing Written by internationallyleading researchers in the field of pure and appliedlogic and philosophy

Contents

Preface.- 1. Introductory Overview.- 2. Splicing Log-ics: Syntactic Fibring.- 3. Splicing Logics: SemanticFibring.- 4. Heterogenous Fibring.- 5. Fibring Non-Truth Functional Logics.- 6. Fibring First-OrderLogics.- 7. Fibring Higher-Order Logics.- 8. Modu-lated Fibring.- 9. Splitting Logics.- 10. New Trends:Network Fibring.- 11. Summing-up and Outlook.-Bibliography.- Subject Index.- Table of Symbols.-List of Figures.

Fields of interest

Mathematical Logic and Foundations; Logic; Mathe-matical Logic and Formal Languages

Target groups

Logicians, philosophers, computer scientists.

Type of publication

Monograph

Due January 2008

2008. Approx. 620 p. (Applied Logic Series, Vol. 35) Hardcover

234,00 €

ISBN 978-1-4020-6781-5


E. Cascetta, Università degli Studi di Napoli `Federico II', Italy

Transportation Systems Analysis

Models and Applications

This book provides a systematic and rigorous pre-sentation of the theory of transportation systemsand of the main methodologies for its application totransportation system engineering. Topics are pre-sented with an increasing level of detail and com-plexity. Different selections of subjects can be used asthe basis for undergraduate and postgraduate cours-es in transportation system engineering as well aseconomics and regional sciences. Audience: Aca-demic researchers, workers of federal and govern-mental agencies, consultants and professionals in-volved in transportation modeling and planning.Academic and Technical libraries. `This book pro-vides a rigorous and comprehensive coverage oftransportation models and planning methods andis a must-have to anyone in the transportation com-munity, including students, teachers, and practition-ers.' Moshe Ben-Akiva, Massachusetts Institute ofTechnology, Edmund K. Turner Professor of Civiland Environmental Engineering, Director, Intelli-gent Transportation [..]

Features

Provides a comprehensive, thorough and unifiedtreatment of the state of art in analytical transporta-tion planning methods Accessible to graduate stu-dents Systematic and careful presentation

Contents

Introduction.- Modeling Transportation Systems:Preliminary Concepts and Application Areas.-Transportation Supply Models.- Random UtilityTheory.- Transportation Demand Models.- BasicModels for Traffic Assignment to TransportationNetworks.- Advanced Models for Traffic Assignmentto Transportation Networks.- Intra-Period (With-in-Day) Dynamic Models.- Estimation of Travel De-mand Flows.- Transportation Supply Design Mod-els.- Methods for the Evaluation and Comparison ofTransportation System Projects.- Appendix: Reviewof Numerical Analysis.- Index.- References.

Fields of interest

Operations Research, Mathematical Programming;Systems and Information Theory in Engineering;Mathematical Modeling and Industrial Mathematics;Regional Science; Quantitative Geography

Target groups

Graduate students, practitioners.

Type of publication


Due July 2008

2008. XX, 730 p. Hardcover

69,30 €

ISBN 978-0-387-75856-5

C.G. Cassandras, Boston University, Boston, MA, USA; S. Lafor-

tune, University of Michigan, Ann Arbor, MI, USA

Introduction to Discrete Event

Systems

Introduction to Discrete Event Systems is a compre-hensive introduction to the field of discrete eventsystems, offering a breadth of coverage that makesthe material accessible to readers of varied back-grounds. The book emphasizes a unified modelingframework that transcends specific application ar-eas, linking the following topics in a coherent man-ner: language and automata theory, supervisory con-trol, Petri net theory, Markov chains and queuingtheory, discrete-event simulation, and concurrent es-timation techniques. This edition includes new ma-terial pertaining to the diagnosis of discrete eventsystems, decentralized supervisory control, and in-terval-based timed automata and hybrid automatamodels. This textbook is valuable to advanced-levelstudents and researchers in a variety of disciplineswhere the study of discrete event systems is relevant:control, communications, computer engineering,computer science, manufacturing engineering, oper-ations research, and industrial engineering.

Features

Includes numerous detailed examples and studentexercises Second edition incorporates essential ele-ments of Hybrid System modeling, thus contributingto bridging the existing gap between time-driven andevent-driven systems

Contents

Preface.- 1 Systems and Models.- 2 Languages andAutomata.- 3 Supervisory Control.- 4 Petri Nets.-5 Timed Models.- 6 Stochastic Times Automata.- 7Markov Chains.- 8 Introduction to Queueing Theo-ry.- 9 Controlled Markov Chains.- 10 Introductionto Discrete-Event Simulation.- 11 Sensitivity Analy-sis and Concurrent Estimation.- Review of Probabil-ity Theory.- IPA Estimator.- Index.- About the Au-thors.

Fields of interest

Control Engineering; Discrete Mathematics in Com-puter Science; Systems Theory, Control; Mechani-cal Engineering; Operations Research, MathematicalProgramming; Industrial and Production Engineer-ing

Target groups

Advanced-level students, and researchers where thestudy of discrete event systems is relevant: control,communications, computer engineering, computerscience, manufacturing engineering, operations re-search, and industrial engineering

Type of publication


Due December 2007


74,95 €

ISBN 978-0-387-33332-8

A.S. Cattaneo, Universität Zürich, Switzerland; P. Xu, Pennsylva-

nia State University, PA; A. Giaquinto, Loyola University, Chicago,

IL (Eds.)

Higher Structure in Geometry and

Physics

In Honor of M. Gerstenhaber and J. Stasheff

This volume arises from a meeting organized at IHPin January 2007 in honor of the 80th birthday ofMurray Gerstenhaber and the 70th birthday of JimStasheff. The meeting was centered on algebraic de-formations and higher homotopies, seminal conceptspioneered by Gerstenhaber and Stasheff in the early1960s that now are ubiquitous in fundamental areasof mathematics (algebra, algebraic topology, differ-ential geometry, algebraic geometry, mathematicalphysics) and of theoretical physics (quantum fieldtheory, string theory). The existence of these unify-ing themes together with the exceptional expositoryclarity of all speakers had the effect of exposing peo-ple in the audience, irrespective of their specific area,to a rich and variety of research fields. It is the aim ofthis volume to bring most of these exceptional speak-ers together again to share their ideas in written formfor the benefit of researchers and students from allbackgrounds in mathematics. Contributors: Baum,Breen, Felder, Fukaya, [..]

Features

Expository articles on seminal concepts from a richand variety of research fields Written by distin-guished researchers and exeptional speakers Dis-cusses fundamental research and new directions forgrowth

Contents

Preface.-Paper by Baum.-Paper by Breen.-Paperby Felder.-Paper by Fukaya.-Paper by Giaquin-to.-Paper by Gutt.-Paper by Huebschmann.-Pa-per by Kajiura.-Paper by Keller.-Paper by Kos-mann-Schwarzbach.-Paper by Latschev.-Paperby Loday.-Paper by Merkulov.-Paper by Stern-heimer.-Paper by Sullivan.-Paper by Torossian.-In-dex.

Fields of interest

Topological Groups, Lie Groups; Group Theory andGeneralizations; Algebraic Geometry; MathematicalMethods in Physics; Applications of Mathematics

Target groups

Researchers and graduate students in mathematicsand theoretical physics

Type of publication

Contributed volume

Due March 2009


401) Hardcover

61,60 €

ISBN 978-0-8176-4734-6


Th.E. Cecil, College of the Holy Cross, Worcester, MA, USA

Lie Sphere Geometry

With Applications to Submanifolds

This book provides a clear and comprehensive mod-ern treatment of Lie sphere geometry and its applica-tions to the study of Euclidean submanifolds. It be-gins with the construction of the space of spheres, in-cluding the fundamental notions of oriented contact,parabolic pencils of spheres, and Lie sphere trans-formations. The link with Euclidean submanifoldtheory is established via the Legendre map, whichprovides a powerful framework for the study of sub-manifolds, especially those characterized by restric-tions on their curvature spheres. This new editioncontains revised sections on taut submanifolds, com-pact proper Dupin submanifolds, reducible Dupinsubmanifolds, and the cyclides of Dupin. Complete-ly new material on isoparametric hypersurfaces inspheres and Dupin hypersurfaces with three and fourprincipal curvatures is also included. The author sur-veys the known results in these fields and indicatesdirections for further research and wider applicationof the methods of Lie sphere [..]

Features

Provides the reader with all the necessary back-ground to reach the frontiers of research in this areaFills a gap in the literature; no other thorough exam-ination of Lie sphere geometry and its applicationsto submanifold theory Complete treatment of the cy-clides of Dupin, including 11 computer-generated il-lustrations Rigorous exposition driven by motivationand ample examples

Contents

Preface.- Introduction.- Lie Sphere Geometry.- LieSphere Transformations.- Legendre Submanifolds.-Dupin Submanifolds.- Bibliography.- Index.

Fields of interest

Differential Geometry; Algebraic Geometry; Mani-folds and Cell Complexes (incl. Diff.Topology)

Target groups

Graduate students and researchers in differential ge-ometry, algebraic geometry, differential topology

Type of publication


Due December 2007

2008. XII, 212 p. 26 illus. (Universitext) Softcover

39,95 €

ISBN 978-0-387-74655-5

M.-H. Chang, U.S. Army Research Office, Durham, NC, USA

Stochastic Control of Hereditary

Systems and Applications

This research monograph develops the Hamilton-Ja-cobi-Bellman theory via dynamic programmingprinciple for a class of optimal control problems forstochastic hereditary differential equations (SHDEs)driven by a standard Brownian motion and with abounded or an infinite but fading memory. Theseequations represent a class of stochastic infinite-di-mensional systems that become increasingly impor-tant and have wide range of applications in physics,chemistry, biology, engineering and economics/fi-nance. This monograph can be used as a researchreference for researchers and advanced graduate stu-dents who have special interest in optimal controltheory and applications of stochastic hereditary sys-tems.

Features

Very active research area Chang bridges area ofstochastic control and stochastic delay equations

Contents

Preface.- Introduction and Summary.- Chapter 1.Stochastic Hereditary Differential Equations.- Chap-ter 2. Stochastic Calculus.- Chapter 3. Optimal Clas-sical Control.- Chapter 4. Optimal Stopping.- Chap-ter 5. Discrete Approximations.- Chapter 6. OptionPricing.- Chapter 7. Hereditary Portfolio Optimiza-tion.- References.- List of Symbols.- Index.

Fields of interest

Probability Theory and Stochastic Processes; PartialDifferential Equations; Control Engineering; Statisti-cal Theory and Methods

Target groups


Type of publication

Monograph

Due January 2008

2008. Approx. 500 p. (Stochastic Modelling and Applied Proba-

bility, Vol. 59) Hardcover

62,95 €

ISBN 978-0-387-75805-3

N. Childress, Arizona State University, Tempe, AZ, USA

Class Field Theory

Class field theory, the study of abelian extensions ofalgebraic number fields, is one of the largest branch-es of algebraic number theory. It brings together thequadratic and higher reciprocity laws of Gauss, Leg-endre, and others, and vastly generalizes them. Someof its consequences (e.g., the Chebotarev density the-orem) apply even to nonabelian extensions. Thisbook is an accessible introduction to class field theo-ry. It takes a traditional approach in that it attemptsto present the material using the original techniquesof proof (global to local), but in a fashion which iscleaner and more streamlined than most other bookson this topic. It could be used for a graduate courseon algebraic number theory, as well as for studentswho are interested in self-study. The book has beenclass-tested, and the author has included exercisesthroughout the text.

Features

Traditional approach, but cleaner and more stream-lined than most others Accessible introduction toclass field theory Lots of challenging exercises

Contents

Preface.- A Brief Review.- Dirichlet's Theoremon Primes in Arithmetic Progressions.- Ray ClassGroups.- The Idelic Theory.- Artin Reciprocity.-The Existence Theorem, Consequences and Applica-tions.- Local Class Field Theory.- Bibliography.- In-dex.

Fields of interest

Field Theory and Polynomials; Number Theory

Target groups

Undergraduate and graduate mathematics students;professors

Type of publication

Monograph

Due November 2007


38,50 €

ISBN 978-0-387-72489-8


L.N. Childs, State University of New York at Albany, NY, USA

A Concrete Introduction to Higher

Algebra

This book is an informal and readable introductionto higher algebra at the post-calculus level. The con-cepts of ring and field are introduced through studyof the familiar examples of the integers and polyno-mials. A strong emphasis on congruence classes leadsin a natural way to finite groups and finite fields. Thenew examples and theory are built in a well-moti-vated fashion and made relevant by many applica-tions - to cryptography, coding, integration, histo-ry of mathematics, and especially to elementary andcomputational number theory. The later chapters in-clude expositions of Rabiin's probabilistic primalitytest, quadratic reciprocity, and the classification of fi-nite fields. Over 900 exercises, ranging from routineexamples to extensions of theory, are found through-out the book; hints and answers for many of themare included in an appendix. “At every stage, a widevariety of applications is presented...The user-friend-ly exposition is appropriate for the intended audi-ence.” T.W. [..]

Features

Informal and readable introduction to higher algebraNew sections on Luhn's formula, Cosets and equa-tions, and detaching coefficients Successful under-graduate text for more than 20 years

Contents

Numbers.- Induction.- Euclid's Algorithm.- UniqueFactorization.- Congruences.- Congruence Class-es.- Applications of Congruences.- Rings and Fields.-Fermat's and Euler's Theorems.- Applications ofFermat's and Euler's Theorems.- On Groups.- TheChinese Remainder Theorem.- Matrices and Codes.-Polynomials.- Unique Factorization.- The Funda-mental Theorem of Algebra.- Derivatives.- Factoringin QÄxÜ,I.- The Binomial Theorem in Characteristicp.- Congruences and the Chinese Remainder Theo-rem.- Applications of the Chinese Remainder Theo-rem.- Factoring in FpÄxÜ and in ZÄxÜ.- Primitive[..]

Fields of interest

Algebra

Target groups

Undergraduate math students

Type of publication


Due January 2008

2008. Approx. 570 p. (Undergraduate Texts in Mathematics)

Hardcover

53,90 €

ISBN 978-0-387-74527-5

J.W. Chinneck, Carleton University, Ottawa, ON, Canada

Feasibility and Infeasibility in

Optimization

Algorithms and Computational Methods

Feasibility and Infeasibility in Optimization is an ex-pository book focused on practical algorithms relatedto feasibility and infeasibility in optimization. Part Iaddresses algorithms for seeking feasibility quickly,including recent algorithms for the difficult cases ofnonlinear and mixed-integer programs. Part II pro-vides algorithms for analyzing infeasibility by isolat-ing minimal infeasible (or maximum feasible) sub-sets of constraints, or by finding the best repair forthe infeasibility. Part III describes surprising appli-cations in areas such as classification, computation-al biology, and medicine. Connections to constraintprogramming are shown. A main goal is to impart anunderstanding of the methods so that practitionerscan make immediate use of existing algorithms andsoftware, and so that researchers can extend the stateof the art and find new applications. The book is ofinterest to researchers, students, and practitionersacross the applied sciences who are working on opti-mization problems.

Features

“I am extremely happy with this upcoming book. Itis very well-written as well as impressively up-to-dateand comprehensive” Fred Hillier, Stanford Universi-ty (ISOR Series Editor) As originator for many of thedevelopments in the field, Chinneck is in an excellentposition to write the authoritative, expository bookon the subject and create a website that collects allthe ongoing developments. The website [..]

Contents

Part I: Analyzing Infeasibility.- Isolating an Infeasi-bility.- Methods Specific to Linear Programming.-Methods Specific to Mixed Integer Programming.-Methods Specific to Nonlinear Programming.- Find-ing the Maximum Feasible Subset of Linear Con-straints.- Finding the Best Fix for an Infeasible Sys-tem.- Part II: Reaching Feasibility Quickly.- LinearProgramming.- Mixed Integer Programming.- Non-linear Programming.- Part III: Applications.- Ana-lyzing Unboundedness in Linear Programs.- Ana-lyzing the Viability of Network Models.- AnalyzingMultiple-Objective Linear Programs.- Data [..]

Fields of interest

Optimization; Operation Research/Decision Theory;Mathematical Modeling and Industrial Mathemat-ics; Engineering Economics, Organization, Logistics,Marketing; Industrial and Production Engineering;Econometrics

Target groups


Type of publication

Contributed volume

Due January 2008



79,95 €

ISBN 978-0-387-74931-0

V. Chiroiu, Romanian Academy, Buccharest, Romania; C. Chiroiu,

Uniteam, Torino, Italy

Inverse Problems in Mechanics

This volume addresses practical and concrete reso-lution methods for certain inverse problems relatedto material properties and behavior: the inverse La-grange problem, determination of elastic constantsof a monoclinic crystal, the behavior of initially de-formed metallic layered structures, identificationproblems in viscoelasticity and sonoelasticity theo-ries, the behavior of plates and structures with adhe-sive bonds, and a non-local identification problem.It is not simply a translation of its predecessor whichappeared with the Publishing House of the Romani-an Academy in 2003 ("Probleme inverse in mecani-ca", Editura Academiei, Bucharest, Romania). Im-provements outline the way in which the inverse the-ory is applied to solve some engineering problems.This new edition contains many improvements con-cerning the presentation, as well as new topics usingan enlarged and updated bibliography. In addition tothe large area of domains in physics and mechanicscovered by this volume, a list of [..]

Fields of interest

Mechanics; Analysis; Continuum Mechanics andMechanics of Materials

Target groups

Researchers and university teachers, as well as grad-uate students interested in and compelled to usingmathematical methods in various fields of research,like mechanics, physics, and engineering.

Type of publication

Monograph

Due October 2007

2007. Hardcover

109,95 €

ISBN 978-1-4020-5421-1


P.-L. Chow, B.S. Mordukhovich, G. Yin (Eds.)

Topics in Stochastic Analysis and

Nonparametric Estimation

To assess the past achievement and to provide a roadmap for future research, an IMA participating insti-tution conference entitled "Conference on Asymp-totic Analysis in Stochastic Processes, Nonparamet-ric Estimation, and Related Problems" was held atWayne State University, September 15-17, 2006. Thisconference was also held to honor Professor RafailZ. Khasminskii for his fundamental contributions tomany aspects of stochastic processes and nonpara-metric estimation theory on the occasion of his sev-enty-fifth birthday. It assembled an impressive listof invited speakers, who are renowned leaders inthe fields of probability theory, stochastic process-es, stochastic differential equations, as well as in thenonparametric estimation theory, and related fields.A number of invited speakers were early developersof the fields of probability and stochastic processes,establishing the foundation of the Modern probabili-ty theory. After the conference, to commemorate thisspecial event, an IMA volume [..]

Contents

Some recent results on averaging principle.-Cramer's theorem for nonnegative multivariate pointprocesses with independent increments.- On bound-ed solutions of the balanced generalized pantographequation.- Numerical methods for non-zero-sumstochastic differential games: Convergance of theMarkov chain approximation method.- On the esti-mation of an analytic spectral density outside of theobservation band.- On oracle inequalities related tohigh dimensional linear models.- Hypothesis testingunder composite functions alternative.- On parabolicpdes and spdes in Sobolov spaces W2/p [..]

Fields of interest

Probability Theory and Stochastic Processes; Appli-cations of Mathematics

Target groups

Researchers

Type of publication

Professional book

Due November 2007

2008. Approx. 210 p. (The IMA Volumes in Mathematics and its

Applications, Vol. 145) Hardcover

69,95 €

ISBN 978-0-387-75110-8

O. Christensen, Technical University of Denmark, Lyngby, Den-

mark

Frames and Bases for Mathematics

and Engineering

An Introductory Course

Based on a streamlined presentation of the author’ssuccessful work An Introduction to Frames andRiesz Bases, this new textbook develops frame theo-ry as part of a dialogue between mathematicians andengineers. Newly added sections on applications willhelp mathematically oriented readers to see whereframes are used in practice and engineers to discov-er the mathematical background for applications intheir field. The primary focus of the work is on ba-sic topics without too many side remarks making iteasier for students to follow the presentation. An in-troductory chapter presents basic results in finite-di-mensional vector spaces, enabling readers with a ba-sic knowledge of linear algebra to understand theidea behind frames without the technical complica-tions in infinite-dimensional spaces. Extensive exer-cises make the work suitable as a textbook for use intheoretical graduate courses on bases and frames orapplications-oriented courses focusing on either Ga-bor analysis or wavelets. Frames and [..]

Features

Interdisciplinary approach develops frame theory aspart of a dialogue between mathematicians, and en-gineers Extensive exercises make the work suitable asa textbook for use in theoretical graduate courses onbases and frames or application-oriented courses fo-cusing on either Gabor anlaysis or wavelets Focus onbasic topics without too many side remarks makes iteasier for students to follow the presentation

Contents

Preface.- Frames in Finite-dimensional Inner Prod-uct Spaces.- Infinite-dimensional Vector Spacesand Sequences.- Bases.- Bases and their Limita-tions.- Frames in Hilbert Spaces.- Frames of Trans-lates.- Gabor Frames in L2(R).- Selected Topics onGabor Frames.- Gabor Frames in l2(Z).- WaveletFrames.- Wavelet Frames via Extension Principles.-Appendix.- References.- Index.

Fields of interest

Functional Analysis; Signal,Image and Speech Pro-cessing; Abstract Harmonic Analysis; Operator The-ory; Applications of Mathematics

Target groups

Graduate students and researchers in pure and ap-plied mathematics, mathematical physics, and engi-neering; practitioners working in digital signal pro-cessing

Type of publication


Due March 2008

2008. XIV, 242 p. 15 illus. (Applied and Numerical Harmonic Anal-

ysis) Softcover

34,95 €

ISBN 978-0-8176-4677-6

D. Chudnovsky, Polytechnic University, New York, NY, USA; G.

Chudnovsky, Polytechnic University, New York, NY, USA (Eds.)

Additive Number Theory

Festschrift In Honor of the Sixtieth Birthday of Melvyn B.

Nathanson

Features

Celebrates the contributions which Melvyn B.Nathanson has made to additive number theory.

Contents

J. Bourgain.- M-C. Chang, University of Califor-nia-Riverside.- D. Chudnovsky, Polytechnic Univer-sity.- G. Chudnovsky, Polytechnic University.- G.Freiman, Tel-Aviv, Israel.- B. Green, Bristol UK.- N.Hindman, Howard University.- A. Iosevich, Univer-sity of Missouri-Columbia.- J. Lagarias, University ofMichigan.- R. Jin, College of Charleston.- R.Grigorchuk, Texas A&M University.- T. Tao,University of California- Los Angeles

Fields of interest

Number Theory; Algebra; Mathematical Logic andFoundations

Target groups

Graduate students.- Researchers in mathematics

Type of publication

Contributed volume

Due February 2009


61,60 €

ISBN 978-0-387-37029-3


O. Civitarese, University of La Plata, Buenos Aires, Argentina; I.

Stekl, Czech Technical University in Prague, Prague, Czech Re-

public; J. Suhonen, University of Jyvaskyla, Finland (Eds.)

Workshop on Calculation of Double-

Beta-Decay Matrix Elements

(MEDEX'07)

All papers have been peer-reviewed. The determi-nation of the properties of the neutrino is one ofthe most pursued goals of physics. The relevance ofthe neutrino mass problem, for fields so closely re-lated as astro-particle physics, elementary particlephysics, cosmology and nuclear structure physics,becomes evident after the discovery of the neutri-no oscillations. The series of MEDEX Conferences,which started ten years ago, is devoted to the updateof the experimental and theoretical information re-lated to the nuclear double beta decay, which is theprocess that may, if observed, be the tool to answerthe fundamental questions related to the neutrinomass scale. MEDEX is established as a unique forumfor theoreticians and experimentalists which are ac-tive in the field. The major experimental collabora-tions have reported regularly at MEDEX since thefirst meeting 1997.

Fields of interest

Physics beyond the Standard Model; Relativity andCosmology; Nuclear Physics, Heavy Ions, Hadrons;Elementary Particles and Nuclei; Astrophysics

Target groups

Theoretical particle and nuclear physicists

Type of publication

Proceedings

Due December 2007

2007. Approx. 116 p. (High Energy Physics, Vol. 942) Hardcover

53,15 €

ISBN 978-0-7354-0456-4

C.A. Coello Coello, CINVESTAV-IPN, México City, México; G.B. La-

mont, Air Force Institute of Technology, WPAFB, Dayton, OH,

USA; D.A. Van Veldhuizen, AFMC/DR, Wright-Patterson AFB, OH,

USA

Evolutionary Algorithms for Solving

Multi-Objective Problems

Solving multi-objective problems is an evolving ef-fort, and computer science and other related disci-plines have given rise to many powerful determin-istic and stochastic techniques for addressing theselarge-dimensional optimization problems. Evolu-tionary algorithms are one such generic stochasticapproach that has proven to be successful and widelyapplicable in solving both single-objective and mul-ti-objective problems. This textbook is a second edi-tion of Evolutionary Algorithms for Solving Mul-ti-Objective Problems, significantly expanded andadapted for the classroom. The various features ofmulti-objective evolutionary algorithms are present-ed here in an innovative and student-friendly fash-ion, incorporating state-of-the-art research. Thebook disseminates the application of evolutionaryalgorithm techniques to a variety of practical prob-lems, including test suites with associated perfor-mance based on a variety of appropriate metrics,as well as serial and parallel algorithm implementa-tions.

Features

Designed for courses on Evolutionary Multi-objec-tive Optimization and Evolutionary Algorithms 2ndEdition is completely updated and presents the latestresearch Provides a complete set of teaching tutori-als, exercises and solutions Contains exhaustive ap-pendices, index and bibliography

Contents

Basic Concepts.- Evolutionary Algorithm MOPApproaches.- MOEA Test Suites.- MOEA Testingand Analysis.- MOEA Theory and Issues.- Applica-tions.- MOEA Parallelization.- Multi-Criteria Deci-sion Making.- Special Topics.- Appendix A: MOEAClassification and Technique Analysis.- AppendixB: MOPs in the Literature.- Appendix C: Ptrue andPFtrue for Selected Numberic MOPs.- Appendix D:Ptrue and PFtrue for Side-constrained MOPs.- Ap-pendix E: MOEA Software Availability.- Appendix F:MOEA-Related Information.

Fields of interest

Theory of Computation; Optimization; ProbabilityTheory and Stochastic Processes; Algorithm Analysisand Problem Complexity; Artificial Intelligence (in-cl. Robotics); Numeric Computing

Target groups

Students, researchers and computer scientists work-ing in evolutionary computation, genetic algorithmsand artificial intelligence

Type of publication


Due October 2007

2007. XXII, 800 p. 50 illus. (Genetic and Evolutionary Computa-

tion) Hardcover

76,95 €

ISBN 978-0-387-33254-3

H. Cohen, California State University, Los Angeles, USA

Complex Analysis with Applications

in Science and Engineering

Complex Analysis with Applications in Science andEngineering weaves together theory and extensiveapplications in mathematics, physics and en-gineering. In this edition there are many new prob-lems, revised sections, and an entirely new chapteron analytic continuation. This work will serve as atextbook for undergraduate and graduate studentsin the areas noted above. Key Features of this SecondEdition: Excellent coverage of topics such as series,residues and the evaluation of integrals, multivaluedfunctions, conformal mapping, dispersion relationsand analytic continuation Systematic and clear pre-sentation with many diagrams to clarify discussionof the material Numerous worked examples and alarge number of assigned problems

Features

Excellent coverage of topics such as series, residuesand the evaluation of integrals, multi-valued func-tions, conformal mapping, dispersion relations andanalytic continuation Systematic and clear presen-tation with many diagrams to clarify discussion ofthe material Numerous worked examples and a largenumber of assigned problems

Contents

Introduction.- Complex Numbers.- Complex Vari-ables.- Series, Limits and Residues.- Evaluation of In-tegrals.- Multivalued Functions, Branch Points andCuts.- Singularities of Functions Defined by Inte-grals.- Conformal Mapping.- Dispersion Relations.-Analytic Continuation.- Appendix 1.- Appendix 2.-Appendix 3.- Appendix 4.- Appendix 5.- Appendix6.- Appendix 7.- Appendix 8.- References.- Index.

Fields of interest

Functions of a Complex Variable; Mathematical andComputational Physics; Appl.Mathematics/Compu-tational Methods of Engineering

Target groups

Undergraduates, graduates

Type of publication


Due November 2007

2008. 508 p. 212 illus. Hardcover

62,95 €

ISBN 978-0-387-73057-8


C. Constanda, University of Tulsa, OK, USA; S. Potapenko, Univer-

sity of Waterloo, ON, Canada (Eds.)

Integral Methods in Science and

Engineering

Techniques and Applications

This self-contained work illustrates the applicationof integral methods to diverse problems in mathe-matics, physics, biology, and engineering. The thir-ty two chapters of the book contain state-of-the-artinformation on current research in a variety of im-portant practical disciplines. The problems examinedarise in real-life processes and phenomena, and thesolution techniques range from theoretical integralequations to finite and boundary elements. Specif-ic topics covered include spectral computations, at-mospheric pollutant dispersion, vibration of drillingmasts, bending of thermoelastic plates, homogeniza-tion, equilibria in nonlinear elasticity, modeling ofsyringomyelia, fractional diffusion equations, opera-tors on Lipschitz domains, systems with concentrat-ed masses, transmission problems, equilibrium shapeof axisymmetric vesicles, boundary layer theory, andmany more. Integral Methods in Science and Engi-neering is a useful and practical guide to a variety oftopics of interest to pure and [..]

Features

Illustrates the application of integral methods to di-verse problems in mathematics, physics, biology, andengineering The chapters are written by scientistswith established credentials in their fields Examinesproblems that arise in real-life processes and phe-nomena Covers a wide spectrum of subjects, rangingfrom spectral computation, to atmospheric pollutantdispersion, to transmission problems, to boundary[..]

Contents

Preface.- Contributors.- Superconvergenceof Projection Methods for Weakly Singu-lar Integral Operators.- On Accelerationof Spectral Computations for Integral Operatorswith Weakly Singular Kernels.- Numerical Solu-tion of Integral Equations in Solidification and Melt-ing with Spherical Symmetry.- An Analytical Solu-tion for the Steady-State Two-Dimensional Diffu-sion-Advection-Deposition Model by the GILTT Ap-proach.- Analytic Two-Dimensional Atmo-spheric Pollutant Dispersion Simulation by DoubleGTT.- Transient Acoustic Radiation from aThin Spherical Elastic Shell.- The [..]

Fields of interest

Integral Equations; Numerical and Computation-al Methods in Engineering; Ordinary DifferentialEquations; Partial Differential Equations; Mechani-cal Engineering; Mathematical Methods in Physics

Target groups

Graduate students, researchers, and practitioners inpure and applied mathematics, physics, biology, andcivil and mechanical engineering

Type of publication

Contributed volume

Due December 2007


69,90 €

ISBN 978-0-8176-4670-7 S.B. Cooper, University of Leeds, UK; B. Löwe, Institute of Logic,

Amsterdam, the Netherlands; A. Sorbi, Universita di Siena, Italy

(Eds.)

New Computational Paradigms

Changing Conceptions of What is Computable

In recent years, classical computability has expand-ed beyond its original scope to address issues relat-ed to computability and complexity in algebra, anal-ysis, and physics. The deep interconnection between"computation" and "proof" has originated much ofthe most significant work in constructive mathe-matics and mathematical logic of the last 70 years.Moreover, the increasingly compelling necessity todeal with computability in the real world (such ascomputing on continuous data, biological comput-ing, and physical models) has brought focus to newparadigms of computation that are based on biologi-cal and physical models. These models address ques-tions of efficiency in a radically new way and eventhreaten to move the so-called Turing barrier, i.e.the line between the decidable and the un-decidable.This book examines new developments in the theo-ry and practice of computation from a mathematicalperspective, with topics ranging from classical com-putability to complexity, from biocomputing to [..]

Features

Explores new developments in the theory and prac-tice of computation from a mathematical per-spective Includes topics ranging from classical com-putability to complexity, biocomputing, and quan-tum computing Offers content that appeals to spe-cialists and non-specialists alike Features contribu-tors who are prominent scholars and internationallyknown specialists

Contents

Preface.- Introduction.- Alan Turing's Legacy, andNew Computational Paradigms.- Section I. The Tur-ing Model of Computation and its Applications toLogic, Mathematics, Philosophy and Computer Sci-ence.- Section II. Logic, Algorithms, and Complex-ity.- Section III. Models of Computation from Na-ture.- Section IV. Computable Analysis and RealComputation.- Author Index

Fields of interest

Math Applications in Computer Science; Theory ofComputation; Mathematical Logic and Foundations;Philosophy; Quantum Computing, Information andPhysics

Target groups

Researchers and graduate students in mathematicsand philosophy with a special interest in logicand foundational issues in computer science

Type of publication

Contributed volume

Due January 2008

2008. 576 pp. 19 illus. Hardcover

107,05 €

ISBN 978-0-387-36033-1


D.S.F. Crothers, Queen's University of Belfast, UK

Semiclassical Dynamics and

Relaxation

Condensed-matter physics plays an ever increas-ing role in photonics, electronic and atomic colli-sions research. Dispersion (Dynamics and Relax-ation) includes scattering/collisions in the gaseousphase. It also includes thermal agitation, tunnelingand relaxation in the liquid and solid phases. Clas-sical mechanics, classical statistical mechanics, clas-sical relativity and quantum mechanics are all im-plicated. 'Semiclassical' essentially means that thereis a large or asymptotic real parameter. 'Semiclassi-cal' can also mean 'classical with first-order quantalcorrection', based on an exponentiated Liouville se-ries commencing with a simple pole in the -plane,being Planck's reduced constant and coming with allthe attendant connection problems associated withthe singularity at the turning or transition point andwith the Stokes phenomenon. Equally,' semiclassi-cal' can mean 'electrons described quantally and theheavy particles classically'. This latter gives rise to theso-called impact parameter [..]

Features

This monograph will contain a rigorous and com-plete discussion of the mathematics of semiclassicaltheory to condensed-matter physics.

Contents

Mathematics for the Semiclassicist.- Semiclassi-cal Phase Integral.- Semiclassical Methods for Hy-perspherical Coordinate Systems.- Ion-Atom Col-lisions.- Diffusion in Liquids and Solids.- Contin-ued Fraction Solutions of Eq. (5.301).- Mittag-Lef-fler Fuctions.- Nonlinear Response to AlternatingFields.- References.- Index.

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Atoms, Molecules, Clusters andPlasmas; Condensed Matter; Quantum Physics

Target groups

Atomic, molecular and condensed-matterphysicists, experimentalists and theoreticians,and especially to experimentalists who like simpleanalytic end-formulae for comparison.

Type of publication

Monograph

Due December 2007

2008. Approx. 350 p. 50 illus. (Springer Series on Atomic, Optical,

and Plasma Physics, Preliminary entry 113) Hardcover

ISBN 978-0-387-74312-7

W. Czaja, University of Wroclaw, Wroclaw, Poland; D. Speegle,

Saint Louis University, St. Louis, MO, USA

Wave Packets and Related

Transforms

Time-frequency and time-scale analysis, two of themost important aspects of signal analysis, are devel-oped for the first time in book form as special casesof the more general wave packets. This theory, ini-tiated by Cordoba and Fefferman, has proved to bea valuable tool in operator theory and partial differ-ential equations. Fine decompositions of signals bymeans of wave packets are also a new and promis-ing tool in signal processing. The book begins witha refresher on basic wavelet and Gabor analysis, fol-lowed by the general theory of discrete and continu-ous wave packets. The presentation is distinguishedby its focus on wave packets as objects worthy of in-dependent study. Containing an overview at the be-ginning of each chapter and many diverse examples,the book may be used as a text for a graduate courseor seminar on modern mathematical methods insignal and image processing or applications of har-monic analysis to PDEs. Readers require only a back-ground in real analysis and integration and a [..]

Features

Time-frequency and time-scale analysis are devel-oped for the first time in book form as special cas-es of the more general wave packets Presentation isdistinguished by its focus on wave packets as objectsworthy of independent study Contains an overviewat the beginning of each chapter and many diverseexamples A valuable and promising tool inoperator theory, PDEs, and signal pro-cessing

Contents

Preface.- Time-Frequency and Time-ScaleAnalyses. Fourier Transforms. WaveletTransforms. Gabor and Short-time FourierTransforms. Wigner Transform, WignerDistribution, Rihaczek Transform. CurveletTransform. Discretization. Other Ex-amples of Transforms Analyzing the TFS Content(radar ambiguity function).- The Contin-uous Wave Packet Transform. Definition/Examples (Continuous Wavelet Transform/Win-dowed Fourier Transform). ReproducingFormulas. Approximate PlancherelTheorems. Changing the Parameters Defininga [..]

Fields of interest

Fourier Analysis; Integral Transforms, OperationalCalculus; Signal,Image and Speech Processing; In-formation and Communication, Circuits; Applica-tions of Mathematics; Numerical and ComputationalMethods

Target groups

Graduate students and researchers in mathematics,physics, computer science and engineering

Type of publication


Due December 2009

2010. Approx. 350 p. 10 illus. (Applied and Numerical Harmonic

Analysis) Hardcover

ISBN 978-0-8176-4490-1

B. Dacorogna

Direct Methods in the Calculus of

Variations

This book is a new edition of the authors previousbook entitled Direct Methods in the Calculus ofVariations, 1989. It is devoted to the study of vecto-rial problems in the calculus of variations. The bookhas been updated significantly and a number of ad-ditional examples have been included. The book willappeal researchers and graduate students in mathe-matics and engineering.

Features

Applications included The subject is a very activeone, almost half of the book consists of new materi-als

Contents

Introduction.- Convex Analysis and the Scalar Case.-Convex Sets and Convex Functions.- Lower Semi-continuity and Existence Theorems.- The one Di-mensional Case.- Quasiconvex Analysis and the Vec-torial Case.- Polyconvex, Quasiconvex and Rankone Convex Functions.- Polyconvex, Quasiconvexand Rank one Convex Envelopes.- Polyconvex, Qua-siconvex and Rank one Convex Sets.- Lower SemiContinuity and Existence Theorems in the Vecto-rial Case.- Relaxation and Non Convex Problems.-Relaxation Theorems.- Implicit Partial DifferentialEquations.- Existence of Minima for Non Quasicon-vex Integrands.- [..]

Fields of interest

Partial Differential Equations; Calculus of Variationsand Optimal Control; Optimization

Target groups


Type of publication

Monograph

Due December 2007

2007. Approx. 600 p. (Applied Mathematical Sciences, Vol. 78)

Hardcover

62,95 €

ISBN 978-0-387-35779-9


R. Dahlhaus, Universität Heidelberg, Germany; J. Kurths,

Universität Potsdam,Germany; P. Maass, Universität Bremen,

Germany; J. Timmer, Universität Freiburg, Germany (Eds.)

Mathematical Methods in Signal

Processing and Digital Image

Analysis

The aim of this volume is to bring together researchdirections in theoretical signal and imaging process-ing developed rather independently in electrical en-gineering, theoretical physics, mathematics and thecomputer sciences. In particular, mathemat-ically justified algorithms and methods, the mathe-matical analysis of these algorithms, and methodsas well as the investigation of connections betweenmethods from time series analysis and image pro-cessing are reviewed. An interdisci-plinary comparison of these methods, drawing up-on common sets of test problems from medicine andgeophysical/enviromental sciences, is also addressed.This volume coherently summarizes work car-ried out in the field of theoretical signal and imageprocessing. It focuses on non-linear and non-para-metric models for time series as well as on adaptivemethods in image processing.

Contents

Multivariate time series analysis.- Multiscale approx-imation.- Local adaptive estimation of complex mo-tion and orientation patterns.- Inverse problemsand parameter identification.- Structural adaptivesmoothing procedures.- Analysis of bivariate cou-pling by means of recurrence.- Surrogate methods.

Fields of interest

Computer Imaging, Vision, Pattern Recognitionand Graphics; Information and Communication,Circuits; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Signal,Image and SpeechProcessing

Target groups

researchers in academic and industrial R + D

Type of publication

Monograph

Due December 2007

2008. Approx. 290 p. (Understanding Complex Systems) Hard-

cover

99,95 €

ISBN 978-3-540-75631-6

R.C. Dalang, Ecole Polytechnique Fédérale, Lausanne, Switzer-

land; M. Dozzi, Université Henri Poincaré, Nancy, France; F. Russo,

Université de Paris XIII, Villetaneuse (Eds.)

Seminar on Stochastic Analysis,

Random Fields and Applications V

Centro Stefano Franscini, Ascona, May 2005

This volume contains twenty-eight refereed re-search or review papers presented at the 5th Sem-inar on Stochastic Processes, Random Fields andApplications, which took place at the Centro Ste-fano Franscini (Monte Verità) in Ascona, Switzer-land, from May 30 to June 3, 2005. The sem-inar focused mainly on stochastic partial differen-tial equations, random dynamical systems, infi-nite-dimensional analysis, approximation problems,and financial engineering.

Features

Wide range of topics in stochastic analysis and finan-cial engineering Particular emphasis on applicationsto fluid dynamics, statistical physics, biology, andmathematical finance

Contents

Preface.- Stochastic Analysis and Random Fields.-Stochastic Methods in Financial Models

Fields of interest

Probability Theory and Stochastic Processes

Target groups

Graduates, postgraduates and researchers workingin stochastic analysis or financial mathematics; pro-fessionals interested in stochastic methods in financeand insurance

Type of publication

Proceedings

Due December 2007

2008. Approx 538 p. (Progress in Probability, Vol. 59) Hardcover

129,00 €

ISBN 978-3-7643-8457-9

D.J. Daley, Australian National University, Canberra, ACT, Aus-

tralia; D. Vere-Jones, Victoria University, Wellington, New

Zealand

An Introduction to the Theory of

Point Processes, Volume II

Point processes and random measures find wide ap-plicability in telecommunications, earthquakes, im-age analysis, spatial point patterns and stereology, toname but a few areas. The authors have made a ma-jor reshaping of their work in their first edition of1988 and now present An Introduction to the The-ory of Point Processes in two volumes with subti-tles Volume I: Elementary Theory and Methods andVolume II: General Theory and Structure. Volume Icontains the introductory chapters from the first edi-tion together with an account of basic models, sec-ond order theory, and an informal account of predic-tion, with the aim of making the material accessibleto readers primarily interested in models and appli-cations. It also has three appendices that review themathematical background needed mainly in VolumeII. Volume II sets out the basic theory of randommeasures and point processes in a unified setting andcontinues with the more theoretical topics of the firstedition: limit theorems, ergodic theory, [..]

Features

Point processes and random measures are widelyapplied in telecommunications, earthquakes, imageanalysis, spatial point patterns, and stereology Vol-ume One incorporates introductory material fromthe First Edition with a foretaste of more advancedconcepts Volume Two builds on general theory withadditional material on marked and spatial processesAbundant examples both reinforce core understand-ing and [..]

Contents

Basic theory of random measures and point process-es.- Special classes of processes.- Convergence con-cepts and limit theorems.- Stationary point processesand random measures.- Palm theory.- Evolutionaryprocesses and predictability.- Spatial point processes.

Fields of interest


Target groups


Type of publication

Monograph

Due November 2007

Originally published in one volume in the series: Springer Series

in Statistics

2007. Approx. 560 p. (Probability and its Applications) Hardcover

69,95 €

ISBN 978-0-387-21337-8


D. Delli Gatti, Università Cattolica, Milano, Italia; E. Gaffeo, Univer-

sità di Trento, Italia; M. Gallegati, Università di Ancona, Italia; G.

Giulioni, Università di Chieti-Pescara, Italia; A. Palestrini, Univer-

sità di Teramo, Italia

Emergent macroeconomics

This book contributes substantively to the currentstate of the art of macroeconomics by providing amethod for building models in which business cyclesand economic growth emerge from the interactionsof a large number of heterogeneous agents. Drawingfrom recent advances in agent-based computationalmodeling, the authors show how insights from dis-persed fields like the microeconomics of capital mar-ket imperfections, industrial dynamics and the theo-ry of stochastic processes can be fruitfully combinedto improve our understanding of macroeconomicdynamics. This book should be a valuable resourcefor all researchers interested in analyzing macroeco-nomic issues without recurring to a fictitious repre-sentative agent.

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Economic Systems; Industrial Or-ganization; Macroeconomics/Monetary Economics;Finance /Banking

Target groups

Institutes, libraries; graduate students

Type of publication

Professional book

Due February 2008

2008. Approx. 140 p. (New Economic Windows) Hardcover

49,95 €

ISBN 978-88-470-0724-6

Z. Deng, University of Houston, TX, USA; U. Neumann, University

of Southern California, Los Angeles, CA, USA (Eds.)

Data-Driven 3D Facial Animation

“Data-Driven 3D Facial Animation” systematicallydescribes the important techniques developed overthe last ten years or so. Although 3D facial anima-tion is used more and more in the entertainment in-dustries, to date there have been very few books thataddress the techniques involved. Comprehensivein scope, the book covers not only traditional lip-sync (speech animation), but also expressive facialmotion, facial gestures, facial modeling, editing andsketching, and facial animation transferring. It pro-vides an up-to-date reference source for academicresearch and for professionals working in the facialanimation field. An edited volume, the book bringstogether contributions from leading researchers andpractitioners working in both academia and in theleading animation studios.

Features

The contributions span both active researchers inacademia and graphics/animation experts working inleading studios There is no other book available thatspecifically and systematically describes the new andpopular data-driven facial animation techniques de-veloped in recent years

Contents

Computer Facial Animation: A Survey.- ExpressiveVisual Speech Generation.- Data-driven Expres-sive Speech Animation Synthesis and Editing.- EyeMovements, Saccades, and Multi-Party Conversa-tions.- Realistic Eye Motion Synthesis by TextureSynthesis.- Learning Expressive Human-like HeadMotion Sequences from Speech.- A User InterfaceTechnique for Controlling Blend Shape Interfer-ence.- Sketching Articulation and Pose for Facial An-imation.- Learning Controls for Blend Shapes BasedRealistic Facial Animation.- Speech Motion Decom-position and Editing.- Facial Animation by Expres-sion [..]

Fields of interest

Computer Graphics; Simulation and Modeling

Target groups

Graduate students in computer graphics and graph-ics and animation researchers

Type of publication


Due November 2007

2007. Approx. 338 p. 149 illus. in color. Softcover

76,95 €

ISBN 978-1-84628-906-4

A. Desolneux, UFR Math-Info, Paris, France; L. Moisan, École Nor-

male Supérieure Centre de Mathématiques et de leurs Applica-

tions, Cachan, France; J.-M. Morel, École Normale Supérieure

Centre de Mathématiques et de leurs Applications, Cachan,

France

From Gestalt Theory to Image

Analysis

A Probabilistic Approach

This book introduces the reader to a recent theoryin Computer Vision yielding elementary techniquesto analyse digital images. These techniques are in-spired from and are a mathematical formalizationof the Gestalt theory. Gestalt theory, which had nev-er been formalized is a rigorous realm of vision psy-chology developped between 1923 and 1975. Fromthe mathematical viewpoint the closest field to it isstochastic geometry, involving basic probability andstatistics, in the context of image analysis. The au-thors maintain a public software, MegaWave, con-taining implementations of most of the image analy-sis techniques developped in the book. The book isintended for researchers and engineers. It is mathe-matically self-contained and requires only the basicnotions in probability and calculus.

Features

Over 130 illustrations throughout the text Detailedexercises at the end of each chapter Large number ofexamples, of specific images on which the theory istested are included

Contents

Introduction.- Gestalt Theory.- The Helmholtz Prin-ciple.- Estimating the Binomial Tail.- Alignments inDigital Images.- Maximal Meaningfulness and theExclusion Principle.- Modes of a Histogram.- Van-ishing Points.- Contrasted Boundaries.- Variation-al or Meaningful Boundaries?.- Clusters.- BinocularGrouping.- A Psychophysical Study of the HelmholtzPrinciple.- Back to the Gestalt Programme.- Othertheories, Discussion.

Fields of interest

Partial Differential Equations; Signal,Image andSpeech Processing; Image Processing and ComputerVision; Visualization; Applications of Mathematics;Algorithms

Target groups

Advanced undergraduate and graduate students, re-searchers

Type of publication


Due December 2007

2008. 275 p. 130 illus. (Interdisciplinary Applied Mathematics,

Vol. 34) Hardcover

46,95 €

ISBN 978-0-387-72635-9


A. Deutsch, Technical University of Dresden, Germany; R. Bra-

vo de la Parra, University of Alcala, Madrid, Spain; R.J. de Boer,

Utrecht University, The Netherlands; O. Diekmann, Utrecht Uni-

versity, The Netherlands; P. Jagers, Chalmers University of Tech-

nology, Göteborg, Sweden; E. Kisdi, University of Helsinki, Fin-

land; M. Kretzschmar, University of Bielefeld, Germany; P. Lansky,

Academy of Sciences of the Czech Republic, Prague, Czech Re-

public; H. Metz, University of Leiden, The Netherlands (Eds.)

Mathematical Modeling of

Biological Systems, Volume II

Epidemiology, Evolution and Ecology, Immunology, Neural

Systems and the Brain, and Innovative Mathematical Methods

Volume II of this two-volume, interdisciplinary workis a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of math-ematical modeling in the biological sciences. High-lighted throughout the work are mathematical andcomputational approaches to solving central prob-lems in the life sciences, ranging from the organi-zational principles of individual cells to the dynam-ics of large populations. The chapters are themati-cally organized into the following main areas: Epi-demiology, Evolution and Ecology, Immunology,Neural Systems and the Brain, Innovative Mathe-matical Methods and Education. The work will bean excellent reference text for a broad audience ofresearchers, practitioners, and advanced studentsin this rapidly growing field at the intersection ofapplied mathematics, experimental biology andmedicine, computational biology, biochemistry,computer science, and physics.

Features

Unified presentation of mathematical modelingin the biological sciences Presents state-of-the-artmathematical modeling and simulation techniquesneeded to examine central problems in the life sci-ences Covers a diverse range of subjects having re-al-world applications to epidemiology, evolution,ecology, immunology, and neurology For a broadaudience of researchers, practitioners, and advancedstudents in [..]

Contents

Preface.- Part I. Epidemiology.- Could Low-Effica-cy Malaria Vaccines Increase Secondary Infectionsin Endemic Areas?.- Modeling of the Invasion of aFungal Disease Over a Vineyard.- Algorithm for Pa-rameter Estimation in Nosocomial Infections.- PartII. Evolution and Ecology.- Evolutionarily Stable In-vestment in Anti-Predatory Defences and Aposemat-ic Signalling.- The Tangled Nature Model ofEvolutionary Ecology: An Overview.- RelativeAdvantage and Fundamental Theorems of NaturalSelection.- Competitive Exclusion Between Year-Classes in a Semelparous Biennial Population.- On[..]

Fields of interest

Mathematical Biology in General; MathematicalModeling and Industrial Mathematics; Computa-tional Biology/Bioinformatics; Immunology; Epi-demiology; Applications of Mathematics

Target groups

Researchers, practitioners, and advanced studentsin applied mathematics, experimental biology andmedicine, computational biology, biochemistry,computer science, and physics

Type of publication

Reference work

Due November 2007

Volume II of a two-volume set. Volume I ISBN:

978-0-8176-4557-1.

2008. XVIII, 390 p. 119 illus. (Modeling and Simulation in Science,


89,90 €

ISBN 978-0-8176-4555-7

E. DiBenedetto, Vanderbilt University, Nashville, TN, USA

Classical Mechanics

Classical mechanics is one of those special oc-currences in science where interdisciplinary contri-butions have come together in a perfect blend, pro-viding a most elegant and penetrating example of"modeling" in science. Following Lagrangrian prin-ciples, the author employs mathematics not only asa "unifying" language, but also to exemplify its roleas a catalyst behind new concepts and discoveries,such as the d'Alembert principle, complex systemsdynamics, and Hamiltonian mechanics. Today, thesesame dynamics are now being focused to addressother interdisciplinary areas of research in fieldssuch as biology and chemistry. Offering a rigorousmathematical treatment of the subject and requiringof the reader only a solid background in introducto-ry physics, multivariable calculus, and linear algebra,Classical Mechanics can serve as a text for advancedundergraduates and graduate students in mathemat-ics, physics, engineering, and the natural sciences, aswell as an excellent reference for [..]

Features

* Offers a rigorous mathematical treatment of me-chanics as a text or reference * Revisits beautiful clas-sical material, including gyroscopes, precessions,spinning tops, effects of rotation of the Earth ongravity motions, and variational principles * Em-ploys mathematics not only as a "unifying" language,but also to exemplify its role as a catalyst behind newconcepts and discoveries

Contents

Preface.- Geometry of Motion.- Constraints and La-grangian Coordinates.- Dynamics of a Point Mass.-Geometry of Masses.- Systems Dynamics.- The La-grange Equations.- Precessions.- Variational Princi-ples.- Bibliography.- Index.

Fields of interest

Applications of Mathematics; Mechanics; Mathemat-ical Methods in Physics; Geometry; Dynamical Sys-tems and Ergodic Theory; Theoretical and AppliedMechanics

Target groups

advanced undergraduates and graduatestudents in mathematics, math physics,physics, engineering, and math biology

Type of publication


Due July 2009


44,95 €

ISBN 978-0-8176-4526-7


E. DiBenedetto, Vanderbilt University, Nashville, TN, USA


This self-contained text offers an elementary intro-duction to partial differential equations (pdes), pri-marily focusing on linear equations, but also provid-ing some perspective on nonlinear equations. Theclassical treatment is mathematically rigorous witha generally theoretical layout, though indicationsto some of the physical origins of pdes are madethroughout. Large parts of this revised second edi-tion have been streamlined and rewritten to incorpo-rate years of classroom feedback, correct errors, andimprove clarity. Most of the necessary backgroundmaterial has been incorporated into the comple-ments and certain nonessential topics have been giv-en reduced attention (noticeably, numerical meth-ods) to improve the flow of presentation. The expo-sition is replete with examples, problems and solu-tions that complement the material to enhance un-derstanding and solidify comprehension. The onlyprerequisites are advanced differential calculus andsome basic Lp theory. The work can serve as a textfor [..]

Features

Self-contained, elementary introduction to pdes,primarily from a classical perspective This 2nd ed.has been streamlined and rewritten to incorporateyears of classroom feedback, correct errors, and im-prove clarity Examples, problems and solutions en-hance understanding and solidify comprehensionCan serve as a textbook for advanced undergraduatesand graduate students, as well as an excellent [..]

Contents

Preface to the Second Edition.- Preface to the FirstEdition.- Preliminaries.- Quasi-Linear Equations.-The LaPlace Equation.- Boundary Value Problemsby Double Layer Potentials.- Integral Equations andEigenvalue Problems.- The Heat Equation.- TheWave Equation.- Quasi-Linear Equations of FirstOrder.- Non-Linear Equations of First Order.- Refer-ences.- Index.

Fields of interest

Partial Differential Equations; Fourier Analysis; Dif-ference and Functional Equations; Integral Equa-tions; Calculus of Variations and Optimal Control;Optimization; Mathematical Methods in Physics

Target groups

Advanced undergraduates, graduate students, re-searchers in mathematics, mathematical physics, en-gineering, and the natural sciences

Type of publication


Due July 2008

2008. Approx. 350 p. 10 illus. (Cornerstones) Hardcover

48,00 €

ISBN 978-0-8176-4551-9

A. Dickenstein, F.-O. Schreyer, A.J. Sommese (Eds.)

Algorithms in Algebraic Geometry

In the last decade, there has been a burgeoning ofactivity in the design and implementation of algo-rithms for algebraic geometric compuation. Someof these algorithms were originally designed for ab-stract algebraic geometry, but now are of interestfor use in applications and some of these algorithmswere originally designed for applications, but noware of interest for use in abstract algebraic geometry.The workshop on Algorithms in Algebraic Geometrythat was held in the framework of the IMA AnnualProgram Year in Applications of Algebraic Geome-try by the Institute for Mathematics and Its Applica-tions on September 18-22, 2006 at the University ofMinnesota is one tangible indication of the interest.One hundred ten participants from eleven countriesand twenty states came to listen to the many talks;discuss mathematics; and pursue collaborative workon the many faceted problems and the algorithms,both symbolic and numberic, that illuminate them.This volume of articles captures some of the [..]

Contents

Application of a numerical version of Terracini'slemma for secants and joins.- On the sharpnessof fewnomial bounds and the number of compo-nents of fewnomial hypersurfaces.- Intersectionsof Schubert varieties and other permutation arrayschemes.- Efficient inversion of rational maps overfinite fields.- Higher-order deflation for polynomi-al systems with isolated singular solutions.- Polarsof real singular plane curves.- Semidefinite represen-tation of the k-ellipse.- Solving polynomial systemsequation by equation.

Fields of interest

Algebraic Geometry; Algorithms; Applications ofMathematics

Target groups

Researchers

Type of publication

Professional book

Due December 2007



69,95 €

ISBN 978-0-387-75154-2

U. Dierkes, University of Duisburg, Germany; S. Hildebrandt, Uni-

versity of Bonn, Germany; A. Küster, Krefeld

Minimal Surfaces I

Boundary Value Problems

Fields of interest

Calculus of Variations and Optimal Control; Opti-mization; Differential Geometry; Systems Theory,Control; Mathematical and Computational Physics

Type of publication

Monograph

Due April 2008

2008. Approx. 510 p. 172 illus. (Grundlehren der mathematischen

Wissenschaften, Vol. 295) Hardcover

99,95 €

ISBN 978-3-540-20069-7


F.A. Dietrich, TU München

Robust Signal Processing for

Wireless Communications

Optimization of adaptive signal processing algo-rithms for wireless communications is based on amodel of the underlying propagation channel. Inpractice, this model is never known perfectly. For ex-ample, its parameters have to be estimated and areonly known with significant errors. In this book, asystematic treatment of this practical design problemis provided for signal processing in the physical layerwith multiple antennas. The design of robust signalprocessing algorithms is based on a description ofthe errors and the uncertainties in the system's mod-el. It applies principles of modern estimation, opti-mization, and information theory. Tutorial introduc-tions to relevant literature and mathematical founda-tions give the necessary background and context tothe reader. The book provides detailed derivationsand enlightening insights into the related technicalproblems covering the following topics in detail: Anoverview of the principles of training-based multi-ple-input multiple-output (MIMO) [..]

Features

Optimization of signal processing tasks for wire-less communications under realistic assumptionsPresents Important key application areas for signalprocessing in wireless communication

Fields of interest

Communications Engineering, Networks; Com-putational Science and Engineering; Signal,Imageand Speech Processing; Statistics for Engineer-ing, Physics, Computer Science, Chemistry & Geo-sciences; Math Applications in Computer Science;Appl.Mathematics/Computational Methods of Engi-neering

Target groups

Researchers in fields of signal processing, informa-tion and communication theory

Type of publication

Monograph

Due November 2007

2008. XII, 280 p., 88 illus. (Foundations in Signal Processing, Com-

munications and Networking, Vol. 2) Hardcover

99,95 €

ISBN 978-3-540-74246-3

C. Ding, Lawrence Berkeley National Laboratory, Berkeley, CA,

USA; H. Zha, Penn State University, State College, PA, USA

Spectral Clustering, Ordering and

Ranking

Statistical Learning with Matrix Factorizations

Data mining methods are essential for analyzing theever-growing massive quantities of data. Data clus-tering is one of the key data mining techniques. Inrecent years, spectral clustering has been developedas an effective approach to data clustering. It startswith well-motivated objective functions; optimiza-tion eventually leads to eigenvectors as the solutions,with many clear and interesting algebraic properties.Spectral clustering, ordering and ranking extensivelyuses matrix-based methods and algorithms. This ap-proach is amenable to vigorous analysis and is ben-efiting from a treasury of knowledge of linear alge-bra and applied mathematics accumulated throughthe centuries. This exposition presents recent ad-vances in this new subfield. New concepts are care-fully developed and practical examples are extensive-ly utilized to illustrate the ideas. A key feature are themathematical proofs outlined throughout the text inreasonable detail which highlight the rigorous andprincipled quality of [..]

Features

Presents recent advances in the field of spectralclustering, an interdisciplinary text Mathematicalproofs discussed throughout the text in reasonablyheavy detail Includes applications to weband text mining and genomics Systematicpresentation

Contents

Part 1 Basic Theory and Algorithms: Introduction.-K-means clustering and spectral relaxation.- Spec-tral graph clustering.- Multi-way spectral cluster-ing.- Bipartite graph clustering.- Part 2 AdvancedSpectral Clustering and Ordering: Perturbation anal-ysis of spectral clustering.- Green's function.- Ran-dom walk and probabilistic spectral clustering.- Se-mi-definite programming solution for spectral clus-tering.- Spectral data ordering.- Part 3 Related unsu-pervised learning topics: Spectral ranking.- Furtherdevelopments on PCA and SVD.- Nonlinear embed-ding/representation.- Other [..]

Fields of interest

Computational Science and Engineering; Manage-ment of Computing and Information Systems; MathApplications in Computer Science; Statistics andComputing/Statistics Programs; Statistics for Engi-neering, Physics, Computer Science, Chemistry &Geosciences

Target groups

Senior undergraduate and graduate students,researchers, practitioners

Type of publication

Monograph

Due August 2008


61,60 €

ISBN 978-0-387-30448-9


M.S. Dresselhaus, MIT, Cambridge, MA, USA; G. Dresselhaus, MIT,

Cambridge, MA, USA; A. Jorio, Universidade Federal de Minas

Gerais, Belo Horizonte, MG, Brazil

Group Theory

Application to the Physics of Condensed Matter

Every process in physics is governed by selectionrules that are the consequence of symmetry require-ments. The beauty and strength of group theory re-sides in the transformation of many complex sym-metry operations into a very simple linear algebra.This concise and class-tested book has been peda-gogically tailored over 30 years MIT and 2 years atthe University Federal of Minas Gerais (UFMG) inBrazil. The approach centers on the conviction thatteaching group theory in close connection with ap-plications helps students to learn, understand anduse it for their own needs. For this reason, the the-oretical background is confined to the first 4 intro-ductory chapters (6-8 classroom hours). From there,each chapter develops new theory while introduc-ing applications so that the students can best retainnew concepts, build on concepts learned the previ-ous week, and see interrelations between topics aspresented. Essential problem sets between the chap-ters also aid the retention of the new material and for[..]

Features

Unique pedagogical textbook by the gifted ProfessorMildred Dresselhaus

Contents

1. Basic Mathematical Background.- 2. Represen-tation Theory.- 3. Character of a Representation.-4. Basis Functions.- 5. Splitting Atomic Orbitals ina Chrystal Potential.- 6. Applications to SelectionRules.- 7. Electronic States of Molecules.- 8. Molecu-lar Vibrations.- 9. Space Groups in Real Space.- 10.Space Groups in Reciprocal Space and Representa-tions.- 11. Applications to Lattice Vibrations.- 12.Energy Levels in Cubic Crystals.- 13. Energy BandModels Based on Symmetry.- 14. Spin Orbit Interac-tion in Solids.- 15. Application to Energy Bands withSpin.- 16. Time Reversal [..]

Fields of interest

Mathematical and Computational Physics; Con-densed Matter; Electromagnetism, Optics and Lasers;Mathematical Methods in Physics; Optical and Elec-tronic Materials

Target groups

Advanced students

Type of publication


Due November 2007

2008. XVI, 559 p. 131 illus. Hardcover

64,95 €

ISBN 978-3-540-32897-1

J.H. Drew, College of William & Mary, Williamsburg, VA, USA; D.L.

Evans, Rose-Hulman Institute of Technology, IN, USA; A.G. Glen,

United States Military Academy, NY, USA; L.M. Leemis, College of

William & Mary, Williamsburg, VA, USA

Computational Probability

Algorithms and Applications in the Mathematical Sciences

Computational probability is a set of stochasticmethods that has emerged over the past decade thatallow researchers and students to solve problemsthat require exact probability calculations previous-ly considered arduous or intractable. Computation-al Probability is the first book that examines and or-ganizes these computational methods into a system-atic treatment. The book is structured around thetwo categories of problems: (1) “Algorithms for Con-tinuous Random Variables” has chapters on datastructures and algorithms, transformations of ran-dom variables, and products of independent ran-dom variables. (2) “Algorithms for Discrete Ran-dom Variables” includes data structures and algo-rithms, sums of independent random variables,and order statistics. The book includes three chap-ters that emphasize survival analysis and simula-tion applications. The APPL computational mod-eling language that gives probabilists a strong soft-ware resource for non-trivial problems is available atwww.APPLsoftware.com.

Features

This is an expository monograph with a download-able modeling language, APPL, that will be usedacross the Applied Sciences domains including OR/MS, Applied Probability, Engineering, Statistics, Eco-nomics, and Applied Mathematics. It will be usedby practitioners, as well as academic researchers andstudents The book package will sell nicely in both theacademic and practitioner areas. Moreover, the soft-ware [..]

Contents

Introduction.- Computational Probability.- Maplefor APPL.- Data Structures and Simple Algorithms.-Transformations of Random Variables.- Products ofRandom Variables.- Data Structures and Simple Al-gorithms.- Sums of Independent Random Variables.-Order Statistics.- Reliability and Survival Analysis.-Stochastic Simulation.- Other Applications.- Refer-ences.- Index.

Fields of interest

Operation Research/Decision Theory; ProbabilityTheory and Stochastic Processes; Appl.Mathematics/Computational Methods of Engineering; Com-putational Mathematics and Numerical Analysis;Statistics for Engineering, Physics, Computer Sci-ence, Chemistry & Geosciences; Statistics for Busi-ness/Economics/Mathematical Finance/Insurance

Target groups

Academics, practitioners and graduate students

Type of publication

Monograph

Due December 2007



79,95 €

ISBN 978-0-387-74675-3

J.J. Duistermaat, Universiteit Utrecht, The Netherlands; J.A.C.

Kolk, Universiteit Utrecht, The Netherlands

Distributions

Theory and Applications

This text is a concise, application-oriented introduc-tion to the theory of distributions. It presents distri-butions as a natural method of analysis from botha mathematical and physical point of view. Meth-ods are developed to justify many formal calcula-tions that do not make sense in the classical frame-work. The discussion emphasizes applications tothe general study of linear partial differential equa-tions. The topics include an introduction to distri-butions, differentiation, convergence, and convolu-tion of distributions, as well as Fourier transforma-tions and spaces of distributions having special prop-erties. The applications relate the theory to solutionsof partial differential equations occurring in physics,for instance, in mechanics, optics, quantum mechan-ics, quantum field theory and signal analysis, whichstudents may encounter throughout their studies.Advanced undergraduate and graduate students inmathematics, theoretical physics and engineeringwill find this textbook a welcome [..]

Features

Emphasizes applications to physical phenomenasuch as optics, quantum mechanics, quantum fieldtheory and partial differential equations Includesmany exercises with detailed hints and solutions Ap-proaches the subject from a unique, application-ori-ented point of view

Contents

Preface.-Motivation.-Test Functions.-Distribu-tions.-Differentiation of Distributions.-Convergenceof Distributions.-Taylor Expansion in Several Vari-ables.-Localization.-Distributions with CompactSupport.-Multiplication by Functions.-Transposi-tion, Pullback and Pushforward.-Convolution ofDistributions.-Fundamental Solutions.-Fraction-al Integration and Differentiation.-Fourier Trans-formation.-Fourier Series.-Fundamental Solutionsand Fourier Transformation.-Supports and FourierTransformation.-Sobolev Spaces.-Appendix: Resultsfrom Measure Theory in the Context of [..]

Fields of interest

Approximations and Expansions; Applications ofMathematics; Partial Differential Equations; FourierAnalysis; Ordinary Differential Equations

Target groups

Advanced undergraduate students in mathematics,engineering, physics and other related disciplines

Type of publication


Due October 2008


46,20 €

ISBN 978-0-8176-4672-1


M. Eastwood, University of Adelaide, SA; Australia; W. Miller Jr.,

University of Minnesota, Minneapolis, MN, USA (Eds.)

Symmetries and Overdetermined

Systems of Partial Differential

Equations

Symmetries in various forms pervade mathematicsand physics. Globally, there are the symmetries ofa homogenous space induced by the action of a Liegroup. Locally, there are the infinitesimal symmetriesinduced by differential operators, including not on-ly those of first order but of higher order too. Thisthree-week summer program considered the sym-metries preserving various natural geometric struc-tures. Often these structures are themselves derivedfrom partial differential equations whilst their sym-metries turn out to be contrained by overdeterminedsystems. This leads to further topics including sep-aration of variables, conserved quantities, superin-tegrability, parabolic geometry, represantation the-ory, the Bernstein-Gelfand-Gelfand complex, finiteelement schemes, exterior differential systems andmoving frames. There are two parts to the Proceed-ings. The articles in the first part are expository butall contain significant new material. The articles inthe second part are concerned with [..]

Contents

Overdetermined Systems, Conformal DifferentialGeometry, and the BGG Complex.- GeneralizedWilczynski Invariants for Nonlinear Ordinary Dif-ferential Equations.- Notes on Projective Differen-tial Geometry.- Ambient Metric Construction of CRInvariant Differential Operators.- Fine Structure forSecond order Superintegrable Systems.- Differen-tial Geometry of Submanifolds of Projective Space.-Pseudo-Groups, Moving Frames, and DifferentialsInvariants.- on Geometric Properties of Joint Invari-ants of Killing Tensors.- Hamiltonian Curve Flows inLie Groups G(U (N) and Vector NLS, Mkdv, Sine [..]

Fields of interest

Partial Differential Equations; Applications of Math-ematics

Target groups

Researchers

Type of publication

Professional book

Due November 2007



76,95 €

ISBN 978-0-387-73830-7

G. Edgar, The Ohio State University, Columbus, OH, USA

Measure, Topology, and Fractal

Geometry

From reviews of the first edition: "In the world ofmathematics, the 1980's might well be describedas the "decade of the fractal". Starting with BenoitMandelbrot's remarkable text The Fractal Geome-try of Nature, there has been a deluge of books, arti-cles and television programmes about the beautifulmathematical objects, drawn by computers using re-cursive or iterative algorithms, which Mandelbrotchristened fractals. Gerald Edgar's book is a signifi-cant addition to this deluge. Based on a course giv-en to talented high- school students at Ohio Univer-sity in 1988, it is, in fact, an advanced undergradu-ate textbook about the mathematics of fractal geom-etry, treating such topics as metric spaces, measuretheory, dimension theory, and even some algebraictopology...the book also contains many good illustra-tions of fractals (including 16 color plates)." Math-ematics Teaching "The book can be recommendedto students who seriously want to know about themathematical foundation of fractals, and to [..]

Features

Bridges the gap between traditional books on topol-ogy/analysis and more specialized treatises on frac-tal geometry Contains plenty of examples, exercises,and illustrations Ideal for classroom use with a self-contained and careful presentation

Contents

Preface.- Fractal Examples.- Metric Topology.-Topological Dimension.- Self-similarity.- MeasureTheory.- Fractal Dimension.- Additional Topics.-Appendix.- Index.

Fields of interest

Topology; Real Functions; Geometry; Measure andIntegration

Target groups

Advanced undergraduates, graduate students

Type of publication


Due December 2007

2008. Approx. 290 p. (Undergraduate Texts in Mathematics)

Hardcover

38,50 €

ISBN 978-0-387-74748-4

R. Elber, Cornell University, Ithaca, NY, USA

Protein Modeling with

Bioinformatics and Biophysics

At the core of biological complexity are the smallmachines that maintain the whole: the proteinmolecules. Proteins are encoded by DNA sequences,spontaneously adopt unique three-dimensionalshapes, and perform a wide range of biological func-tions in living systems. Scientists from a broad rangeof disciplines are fascinated by these biological ma-chines and use computational means to study theevolution, biophysical properties and biological con-text of proteins. This book discusses the interface be-tween the different disciplines and the mixed sets oftheoretical and computational methods used by eachto study proteins. Tools vary from machine learningand statistical methods to text matching and identifi-cation of homologous proteins, to statistical physicsformulation of random energies and protein folding,and to molecular dynamic simulations of proteins inaction. Protein Modeling with Bioinformatics andBiophysics will benefit scientists and advanced-levelstudents interested in this [..]

Features

Interdisciplinary approach to computational study ofproteins, based on notions from computer science,physics, chemistry and biology, offers an especiallybroad perspective on the field Traditionally proteinswere studied on the sequence, structure, or dynami-cal and functional levels Outlines a complete hierar-chy of theoretical and computational studies used tostudy proteins by researchers from different fields

Contents

The Darwin approach to proteins: Protein fami-lies (function, structure, and sequence). Protein se-quences. Introduction to Protein structures. Foldrecognition. Statistical mechanics of sequence space.-The Boltzmann approach to proteins: The hy-drophobic force. Modeling protein energy and ther-modynamics. Ab-initio protein folding. Kinetics.-Index.

Fields of interest

Simulation and Modeling; Bioinformatics; Theoreti-cal and Computational Chemistry; Mathematical Bi-ology in General; Mathematical and ComputationalPhysics; Computer Applications in Chemistry

Target groups

Research scientists

Type of publication

Monograph

Due July 2008


74,95 €

ISBN 978-0-387-32988-8


A. Elgammal, Rutgers State University, Piscataway, NJ, USA; B.

Rosenhahn, Max-Planck-Center, Saarbruecken, Germany; R.

Klette, University of Auckland, New Zealand (Eds.)

Human Motion - Understanding,

Modeling, Capture and Animation

Second Workshop, HumanMotion 2007, Rio de Janeiro, Brazil,

October 20, 2007, Proceedings

This book constitutes the refereed proceedings ofthe Second Workshop on Human Motion, Human-Motion 2007, held in Rio de Janeiro, Brazil October20, 2007 in conjunction with ICCV 2007. The 22 re-vised full papers presented were carefully reviewedand selected from 38 submissions. The papers are or-ganized in topical sections on Motion Capture andPose Estimation, Body and Limb Tracking and Seg-mentation and Activity Recognition.

Fields of interest

Simulation and Modeling; Artificial Intelligence (in-cl. Robotics); Computational Biology/Bioinformat-ics; Biometrics

Target groups


Type of publication

Proceedings

Due October 2007

2007. X, 329 p. (Lecture Notes in Computer Science, Vol. 4814)

Softcover

48,00 €

ISBN 978-3-540-75702-3

S. Engelberg, Jerusalem College of Technology, Electronics De-

partment, 21 HaVaad HaLeumi Street, Jerusalem, Israel.

Digital Signal Processing

An Experimental Approach

A rigorous but accessible treatment of the subject in-tertwining theoretical techniques with hands-on lab-oratory instruction and divided into three parts, thisbook covers various aspects of the digital signal pro-cessing (DSP) "problem". It begins with analysis ofdiscrete-time signals explaining sampling and the useof Fourier transforms. The second part of the bookcovering digital–analog and analog–digital conver-sion provides a practical interlude before PartIII lays out the development of the z-transform andthe pros and cons of finite and infinite impulse re-sponse filters. MATLAB® is employed to visualise themathematics underlying this discipline, making clearits engineering relevance. The practical microproces-sor-oriented parts of the book are introduced withspecial reference to the ADuC841, an lab manual forwhich is available. These labs can be transposed forother microprocessors. Problems are provided at theend of each chapter and an electronic solutions man-ual is [..]

Features

Gives the reader an understanding of the mathemati-cal principles and theories that underlie digital signalprocessing Enables the reader to cover the es-sentials without requiring 700+ pages Guidesthe reader through experiments that can be simulat-ed using MATLAB® or performed using a micropro-cessor

Contents

Part I: The Analysis of Discrete-time Signals.- Un-derstanding Sampling.- Signal Reconstruction.-Time-limited Functions Are Not Band-limited.-Fourier Analysis and the Discrete Fourier Trans-form.- Windowing.- Signal Generation with the Helpof MATLAB®.- The Spectral Analysis of Random Sig-nals.- Part II: Analog to Digital and Digital to AnalogConverters.- The General Structure of Sampled-dataSystems.- The Operational Amplifier: An Overview.-A Simple Digital to Analog Converter.- The BinaryWeighted DAC.- The R-2R Ladder DAC.- The Suc-cessive Approximation Analog to Digital Converter.-[..]

Fields of interest

Signal,Image and Speech Processing; Fourier Analy-sis; Image Processing and Computer Vision; PatternRecognition

Target groups

Academic tutors and researchers in digital signalprocessing; electrical and computer engineers work-ing in signals- and communications-related fields;Graduate and senior undergraduate applied mathe-matics, electrical, electronic and computer engineer-ing students interested in DSP; libraries

Type of publication

Monograph

Due February 2008

2008. Approx. 220 p. 60 illus. (Signals and Communication Tech-

nology) Hardcover

74,95 €

ISBN 978-1-84800-118-3


D. Eppstein, University of California, Irvine, CA, USA; J.-C. Fal-

magne, University of California, Irvine, CA, USA; S. Ovchinnikov,

San Francisco State University, CA, USA

Media Theory

Interdisciplinary Applied Mathematics

The focus of this book is a mathematical structuremodeling a physical or biological system that can bein any of a number of `states.' Each state is charac-terized by a set of binary features, and differs fromsome other neighbor state or states by just one ofthose feature. A simple example of a `state’ is a par-tial solution of a jigsaw puzzle, which can be trans-formed into another partial solution or into the finalsolution just by adding or removing a single adjoin-ing piece. The evolution of such a system over timeis considered. Such a structure is analyzed from alge-braic and probabilistic (stochastic) standpoints.

Features

Provides an algebraic framework and fundametalresults of Media Theory Reference for e-games, e-learning, e-genetics

Fields of interest

Applications of Mathematics; Theory of Computa-tion; Artificial Intelligence (incl. Robotics); Combi-natorics

Target groups

Scientists, researchers

Type of publication

Monograph

Due October 2007

2008. X, 328 p. 92 illus., some in color. Hardcover

74,95 €

ISBN 978-3-540-71696-9

M. Ericsson, University of Cambridge, UK (Ed.)

Quantum Information and Many

Body Quantum Systems

In the last years a growing attention has been dedi-cated to many body quantum systems from the pointof view of quantum information. Indeed, after theinitial investigation of simple systems as single ortwo qubits, the need of understanding the character-istics of a realistic quantum information device leadsnecessarily to the study of many body quantum sys-tems. These studies are also driven by the very fastdevelopment of experiments which in the last yearsreach the goal of coherent control of a few qubits(ion traps, charge qubits, etc.) with a roadmap forfurther scaling and improvement of coherent controland manipulation techniques. This book gives a se-lection of current research topics in the fieldof quantum information for many body quantumsystems together with open problems.

Features

First book in this area New paradigm of performingquantum information tasks, such as quantum infor-mation transfer, quantum cloning and others, with-out direct control of the whole quantum system butusing our knowledge of it has increased the need oftools to understand in details the behaviour of manybody quantum system as we find them in natureNew goals of the quantum information communitylead to an [..]

Contents

Preface.- Entanglement percolation in quantum net-works.- Classical simulation of strongly correlatedsystems.- Quantum information and many body the-ory.- Electronic Hong-Ou-Mandel interferometer formulti-mode entanglement detection.- Energy, entan-glement, and information transfer in many body sys-tems.- Infinite spin chains and algebras.- New resultson MPS.- A quantum approach to classical statisticalmechanics.- Atom-light teleportation.- Lieb Robin-son bounds in quantum spin systems and applicationto quantum information theory.- A metric approachto phase transitions.

Fields of interest

Information and Communication, Circuits; Mathe-matics of Computing; Data Structures, Cryptologyand Information Theory

Target groups

Graduate students and researchers that want to getan overview and introduction to current develop-ments in the field

Type of publication

Proceedings

Due January 2008

2008. Approx. 400 p. (CRM Series, Vol. 5) Softcover

25,00 €

ISBN 978-88-7642-307-9

S.N. Evans, University of California, Berkeley, CA, USA

Probability and Real Trees

Ecole d'Eté de Probabilités de Saint-Flour XXXV-2005

Random trees and tree-valued stochastic process-es are of particular importance in combinatorics,computer science, phylogenetics, and mathemati-cal population genetics. Using the framework of ab-stract "tree-like" metric spaces (so-called real trees)and ideas from metric geometry such as the Gro-mov-Hausdorff distance, Evans and his collaboratorshave recently pioneered an approach to studying theasymptotic behaviour of such objects when the num-ber of vertices goes to infinity. These notes surveythe relevant mathematical background and presentsome selected applications of the theory.

Contents

Preface.- 1. Introduction.- 2. Around the continuumrandom tree.- 3. R-trees and 0-hyperbolic spaces.- 4.Hausdorff and Gromov–Hausdorff distance.- 5. Rootgrowth with re-grafting.- 6. The wild chain and otherbipartite chains.- 7. Diffusions on a R-tree withoutleaves: snakes and spiders.- 8. R–trees from coalesc-ing particle systems.- 9. Subtree prune and re-graft.-A. Summary of Dirichlet form theory.- B. Some frac-tal notions.- References.- Index.

Fields of interest

Probability Theory and Stochastic Processes; Combi-natorics; Geometry

Target groups


Type of publication

Monograph

Due October 2007

2008. XII, 200 p. 43 illus. With Saint-Flour Probability Summer

Schools List on (virtual) p. 195 and Series ad on (virtual) p. 197,

198, 199, 200.. (Ecole d'Eté Probabilit.Saint-Flour, Vol. 1920) Soft-

cover

39,95 €

ISBN 978-3-540-74797-0


W. Ewald, University of Pennsylvania, Philadelphia, PA, USA;

M. Hallett, McGill University, Montreal, QC, Canada; W. Sieg,

Carnegie Mellon University, Pittsburgh, USA; U. Majer, University

of Göttingen, Germany (Eds.)

David Hilbert's Notebooks and

General Foundational Lectures

This volume contains a selection of mate-rial exhibiting many of Hilbert’s philosophical andfoundational views on particular theories and the ex-act sciences in general, drawn from his private note-books and from lectures for more general audiencesheld in the 1920s.

Contents

Excerpts from the diaries and some popularlectures.

Fields of interest

History of Mathematics; Mathematical Logic andFoundations; Philosophy; Mathematical and Com-putational Physics; Geometry

Target groups

Historians of logic, mathematics, geometry,and physics, researchers in those fields and philoso-phers.

Type of publication

Collected works

Due March 2008


89,95 €

ISBN 978-3-540-20579-1

W. Ewald, University of Pennsylvania, Philadelphia, PA, USA; W.

Sieg, Carnegie Mellon University, Pittsburgh, PA, USA; U. Majer,

University of Göttingen, Germany (Eds.)

David Hilbert's Lectures on the

Foundations of Arithmetic and

Logic, 1917-1933

The bulk of this volume consists of six sets of notesfor lectures Hilbert gave (often in collaboration withBernays) on the foundations of mathematics between1917 and the early 1930s. The notes detail the in-creasing dominance of the metamathematical per-spective in Hilbert’s treatment, i.e., the developmentof modern mathematical logic, the evolution of prooftheory, and the parallel emergence of Hilbert's fini-tist standpoint. The notes are mostly very polishedexpositions; e.g., the 1917-18 lectures are in effect afirst draft of Hilbert and Ackermann’s Grundzügeder theoretischen Logik (1928), reprinted in this Vol-ume. They are thus essential for understanding thedevelopment of modern mathematical logic leadingup to Hilbert and Bernays’s Grundlagen der Mathe-matik (1934, 1938). Also included is a complete ver-sion of Bernay’s Habilitationschrift of 1918, onlypartially published in 1926.

Contents

Introduction.- Hilbert's Lectures on Principles ofMathematics from 1917-18.- Hilbert's Lectures onthe Logical Calculus from 1920.- Chapter 3: Hilbert'sLectures on Problems of Mathematical Logic from1920.- Hilbert's Lectures on Foundations of Math-ematics from 1921-22.- Hilbert's Lectures on Log-ical Foundations of Mathematics from 1922-23.-Hilbert's Lectures on the Infinite from 1924-25.-Hilbert's Typescript on the Foundations of Thoughtfrom c. 1925.- Hilbert's Lecture on Infinity from1933.-Miscellanea.- Appendix A: Bernays's Habilita-tion Thesis from 1918.- Appendix B: First [..]

Fields of interest

History of Mathematics; Mathematical Logic andFoundations

Target groups

Philosophers and historians of logic, mathematics,foundations, proof theory and researchers in thosefields

Type of publication

Collected works

Due January 2008


89,95 €

ISBN 978-3-540-20578-4

W. Ewald, University of Pennsylvania, Philadelphia, USA; M. Hal-

lett, McGill University, Montreal, Canada; W. Sieg, Carnegie Mel-

lon University, Pittsburgh, USA; U. Majer, University of Göttingen,

Germany (Eds.)


Foundations of Arithmetic and

Logic, 1894-1917

This volume focuses on notes for lectures on thefoundations of the mathematical sciences held byHilbert in the period 1894-1917. They documentHilbert’s first engagement with ‘impossibility’ proofs;his early attempts to formulate and address the prob-lem of consistency, first dealt with in his work on ge-ometry in the 1890s; his engagement with founda-tional problems raised by the work of Cantor andDedekind; his early investigations into the relation-ship between arithmetic, set theory, and logic; his ad-vocation of the use of the axiomatic method general-ly; his first engagement with the logical and seman-tical paradoxes; and the first formal attempts to de-velop a logical calculus. The Volume also containsHilbert’s address from 1895 which formed the pre-liminary version of his famous Zahlbericht (1897).

Fields of interest

History of Mathematics; Mathematical Logic andFoundations

Target groups

Philosophers and historians of logic, mathemat-ics, geometry, and physics, and researchers in thosefields

Type of publication

Collected works

Due March 2008


89,95 €

ISBN 978-3-540-20605-7


R.T. Farouki, University of California, Davis, CA, USA

Pythagorean-Hodograph Curves:

Algebra and Geometry Inseparable

By virtue of their special algebraic structures,Pythagorean-hodograph (PH) curves offer uniqueadvantages for computer-aided design and manu-facturing, robotics, motion control, path planning,computer graphics, animation, and related fields.This book offers a comprehensive and self-containedtreatment of the mathematical theory of PH curves,including algorithms for their construction and ex-amples of their practical applications. Special fea-tures include an emphasis on the interplay of ideasfrom algebra and geometry and their historical ori-gins, detailed algorithm descriptions, and many fig-ures and worked examples. The book may appeal, inwhole or in part, to mathematicians, computer scien-tists, and engineers.

Features

Fantastic new textbook on mathematical backgroundto computer-aided geometric design.

Fields of interest

Computational Mathematics and Numerical Analy-sis; Geometry; Algebra; Computer Imaging, Vision,Pattern Recognition and Graphics; Numerical andComputational Methods in Engineering; Automotiveand Aerospace Engineering

Target groups

Students, researchers and professionals in mathe-matics, computer science, computer aided geometricdesign, engineering and manufacturing

Type of publication


Due October 2007

2008. XVI, 728 p. 204 illus. (Geometry and Computing, Vol. 1)

Hardcover

59,95 €

ISBN 978-3-540-73397-3

R. Featherstone, The Australian National University, Canberra,

ACT, Australia

Rigid Body Dynamics Algorithms

Rigid Body Dynamics Algorithms presents the sub-ject of computational rigid-body dynamics throughthe medium of spatial 6D vector notation. It explainshow to model a rigid-body system and how to ana-lyze it, and it presents the most comprehensive col-lection of the best rigid-body dynamics algorithmsto be found in a single source. The use of spatial vec-tor notation greatly reduces the volume of algebrawhich allows systems to be described using fewerequations and fewer quantities. It also allows prob-lems to be solved in fewer steps, and solutions to beexpressed more succinctly. In addition algorithmsare explained simply and clearly, and are expressedin a compact form. The use of spatial vector nota-tion facilitates the implementation of dynamics algo-rithms on a computer: shorter, simpler code that iseasier to write, understand and debug, with no lossof efficiency. Unique features include: A comprehen-sive collection of the best rigid-body dynamics algo-rithms Use of spatial (6D) vectors to [..]

Features

Contains a comprehensive collection of the bestrigid-body dynamics algorithms Shows how the useof spatial (6D) vectors greatly reduces the volume ofalgebra and simplifies the computer code to imple-ment algorithms Expresses algorithms both mathe-matically and in pseudocode for easy translation tocomputer programs Includes a new chapter on howto build computer-oriented models of rigid-bodysystems Provides [..]

Contents

Introduction.- Spatial Vector Algebra.- Dynamicsof Rigid Body Systems.- Modelling Rigid Body Sys-tems.- Inverse Dynamics.- Forward Dynamics - In-ertia Matrix Methods.- Forward Dynamics - Propa-gation Methods.- Closed Loop Systems.- Hybrid Dy-namics and Other Topics.- Accuracy and Efficiency.-Contact and Impact.

Fields of interest

Simulation and Modeling; Artificial Intelligence (in-cl. Robotics); Theoretical and Applied Mechanics;Automation and Robotics; Numerical and Compu-tational Methods in Engineering; Computer-AidedEngineering (CAD, CAE) and Design

Target groups

Students and engineers interested in rigid-body sys-tems

Type of publication

Monograph

Due December 2007

Originally published as volume 22 in the series: The Springer In-

ternational Series in Engineering and Computer Science


99,95 €

ISBN 978-0-387-74314-1

Y.N. Fedorov, Moscow Lomonosov University, Moscow, Russia;

V.V. Kozlov, Moscow Lomonosov University, Moscow, Russia

A Memoir on Integrable Systems

Integrable dynamical systems are usually associatedwith Hamiltonian ones. The present book considersthe bigger class of systems which are not (at least apriori) Hamiltonian but possess tensor invariants, inparticular, an invariant measure. Such systems are asrare as Hamiltonian ones that have additional firstintegrals and therefore must be considered as num-ber one candidates for integrable problems. Severalintegrability theorems related to the existence of ten-sor invariants are formulated. The authors displaythe geometrical background of some classical andnew hierarchies of integrable systems and give theirexplicit solution in terms of theta-functions. Mostof the results discussed in this book have not beenpublished before, so that this book will be immenselyuseful both to specialists in analytical dynamics whoare interested in integrable problems and those in al-gebraic geometry who are looking for applications.

Features

The book contains hitherto unpublished, importantresults in dynamical systems theory..

Contents

Classical Mechanics and Lie Groups.- Systems Withan Invariant Measure.- Integrable Systems, Lax Pairsand Confocal Quadrics.- Explicit Solutions.- Refer-ences.- Index.

Fields of interest

Analysis; Global Analysis and Analysis on Manifolds;Topological Groups, Lie Groups; Algebraic Geome-try; Mathematical and Computational Physics

Target groups

Researchers and graduate students in mathematicsand theoretical physics

Type of publication

Monograph

Due February 2008

2008. Approx. 280 pp. 40 figs. (Springer Monographs in Mathe-

matics) Hardcover

84,95 €

ISBN 978-3-540-59000-2


H. Fehske, Universität Greifswald, Germany; R. Schneider, Max-

Planck-Institut für Plasmaphysik, Greifswald, Germany; A. Weiße,

Universität Greifswald, Germany (Eds.)

Computational Many-Particle

Physics

Complicated many-particle problems abound in na-ture and in research alike. Plasma physics, for ex-ample, or statistical and condensed matter physicsare all heavily dependent on efficient methods forsolving such problems. Addressing graduate stu-dents and young researchers, this book presents anoverview and introduction to state-of-the-art nu-merical methods for studying interacting classicaland quantum many-particle systems. A broad rangeof techniques and algorithms are covered, and em-phasis is placed on their implementation on modernhigh-performance computers.

Features

Covers the major developments in computationalmany-particle physics Integrates classical and quan-tum physics and computational methods Both astudy text for students and a reference work for re-searchers Graduate students will benefit from the ba-sic introductions and explanations of the applicationof the theories

Contents

Introduction.- Molecular Dynamics.- Kinetic Meth-ods.- Classical Monte Carlo.- Quantum Monte Car-lo.- Ab Initio Methods.- Effective Field Approaches.-Iterative Methods for Sparse Eigenvalue Problems.-The Density Matrix Renormalisation Group: Con-cepts and Applications.- Concepts of High-Perfor-mance Computing.

Fields of interest

Mathematical and Computational Physics; NuclearPhysics, Heavy Ions, Hadrons

Target groups

Graduate students and young researchers

Type of publication

Monograph

Due November 2007

2008. Approx. 836 p. 266 b/w and 144 color illus. (Lecture Notes

in Physics, Vol. 739) Hardcover

99,95 €

ISBN 978-3-540-74685-0

G. Ferraro, Department of Mathematics and History of Mathe-

matics, Universita Molise, Pesche, Italy

The Rise and Development of the

Theory of Series up to the Early

1820s

The manuscript gives a coherent and detailed ac-count of the theory of series in the eighteenth andearly nineteenth centuries. It provides in one placean account of many results that are generally to befound - if at all - scattered throughout the historicaland textbook literature. It presents the subject fromthe viewpoint of the mathematicians of the period,and is careful to distinguish earlier conceptions fromones that prevail today.

Features

Carefully researched, accompanied by detailed bib-liography Provides a coherent and detailed accountof the theory of series in the 18th and early 19th cen-turies Includes a comprehensive account of many re-sults that were previously scattered throughout thehistorical and textbook literature

Contents

Preface.- Part I: From the beginnings of the seven-teenth century to about 1720: convergence and for-mal manipulation.- Series before the rise of the cal-culus.- Geometrical quantities and series in Leib-niz.- The Bernoulli series and Leibniz's analogy.-Newton's method of series.- Jacob Bernoulli's treatiseon series.- The Taylor series.- Quantities and theirrepresentations.- The formal-quantitative theory ofseries.- The first appearance of divergent series.- PartII: From 1720s to 1760s: The development of a moreformal conception.- De Moivre's recurrent seires andBernoulli's method.- [..]

Fields of interest

History of Mathematics; Sequences, Series, Summa-bility; Real Functions; Analysis

Target groups

Historians of mathematics and science, mathemati-cians

Type of publication

Monograph

Due December 2007

2008. Approx. 372 p., 21 illustrations (Sources and Studies in the

History of Mathematics and Physical Sciences) Hardcover

91,65 €

ISBN 978-0-387-73467-5

E. Filloy, Centre for Research and Advanced Studies, Mexico City,

Mexico; T. Rojano, Centre for Research and Advanced Studies,

Mexico City, Mexico; L. Puig, University of Valencia, Spain

Educational Algebra

A Theoretical and Empirical Approach

Given its abstract nature and the highly syntacticalcompetence required by the use of symbolic algebra,research on its teaching and learning must rely onapproaches that include semiotic concepts and anal-yses that recall the history of algebraic ideas, amongothers. Educational Algebra: A Theoretical and Em-pirical Approach deals with a theoretical perspectiveon the study of school algebra, in which both compo-nents (semiotics and history) occur. This perspectiveruns opposite to general theoretical models, since itsubmits components for the design of local frame-works for theoretical analysis. The Methodologicaldesign allows for the interpretation of specific phe-nomena and the inclusion, within such interpreta-tive frameworks, of evidence not included in moregeneral treatments. Such is the case of phenomenaobserved in subjects who are initiating the study ofsymbolic algebra, involving the production of per-sonal sign systems at the intermediate level or thelevel previous to the mathematical [..]

Features

Offers a theoretical perspective in which semioticsand history are included Adds to previous work withpriority to a pragmatic perspective Of interest toboth practitioners and researchers in mathematicseducation

Contents

Local Theoretical Models and Mathematical SignSystems: A theoretical and methodological frame-work for experimental observations in educationalmathematics.- Mathematics Education and Educa-tional Systems.- Teaching Models.- Cognitive Pro-cesses.- Experimental Design.- Mathematical SignSystems: A theory for interpreting experimental ob-servations.- Concrete Models and Abstractions Pro-cesses: Teaching to operate the unknown.-SolvingProblems with a "Just Acquired" Algebraic Syntax.-Cognitive Tendencies and Abstraction Processes inthe Learning of Algebra (and Geometry).- Solving[..]

Fields of interest

Mathematics Education; Algebra

Target groups

Researchers and practitioners within the mathemat-ics education field

Type of publication

Monograph

Due November 2007

2007. Approx. 300 pp. (Mathematics Education Library, Vol. 43)

Hardcover

109,95 €

ISBN 978-0-387-71253-6


L.d. Floriani, Università di Genova, Italia; M. Spagnuolo, Univer-

sità di Genova, Italia (Eds.)

Shape Analysis and Structuring

Several techniques have been developed in the liter-ature for processing different aspects of the geome-try of shapes, for representing and manipulating ashape at different levels of detail, and for describing ashape at a structural level as a concise, part-based, oriconic model. Such techniques are used in many dif-ferent contexts, such as industrial design, biomedicalapplications, entertainment, environmental monitor-ing, or cultural heritage. This book covers a variety oftopics related to preserving and enhancing shape in-formation at a geometric level, and to effectively cap-turing the structure of a shape by identifying relevantshape components and their mutual relationships.

Features

Relevant, up-to-date account of research by majorEuropean research consortium.

Contents

Shape Interrogation - Stefanie Hahmann, Alexan-der Belayev, Laurent Buse, Gershon Elber, BernardMourrain, Christian Roessl.- Recent Advances inRemeshing of Surfaces - Pierre Alliez, Marco At-tene, Craig Gotsman, Giuliana Ucelli.- Multi-resolu-tion Analysis - George-Pierre Bonneau, Gershon El-ber, Stefanie Hahmann, Basile Sauvage.- SubdivisionSurfaces and Applications - Chiara Eva Catalano,Ioannis Ivrissimtzis, Ahmad Nasri.- Skeletal Struc-tures - Silvia Biasotti, Dominique Attali, Jean-DanielBoissonnat, Herbert Edelsbrunner, Gershon Elber,Michela Mortara, Gabriella Sanniti di Baja, [..]

Fields of interest

Visualization; Computer Graphics; Image Processingand Computer Vision; Geometry

Target groups

Graduate Students, researchers and professionals incomputer graphics, geometric and solid modeling,computational geometry, scientific visualization, andcomputer vision

Type of publication

Contributed volume

Due November 2007

2008. XVI, 296 p. 156 illus. With colour appendix. (Mathematics

and Visualization) Hardcover

79,95 €

ISBN 978-3-540-33264-0

C.A. Floudas, Princeton University, NJ, USA; P.M. Pardalos, Dept.

of Industrial and Systems Engineering, University of Florida,

Gainesville, USA (Eds.)

Encyclopedia of Optimization

The goal of the Encyclopedia of Optimization is tointroduce the reader to a complete set of topics thatshow the spectrum of research, the richness of ideas,and the breadth of applications that has come fromthis field. In 2000, the first edition was widely ac-claimed and received high praise. J.B. Rosen crownedit "an indepensible resource" and Dingzhu Du laud-ed it as "the standard most important reference inthis very dynamic research field." Top authors suchas Herbert Hauptman (winner of the Nobel Prize)and Leonid Khachiyan (the Ellipsoid theorist) con-tributed and the second edition keeps these seminalentries. The second edition builds on the success ofthe former edition with more than 150 completelynew entries, designed to ensure that the referenceaddresses recent areas where optimization theoriesand techniques have advanced. Particularly heavyattention resulted in health science and transporta-tion, with entries such as "Algorithms for Genomics,""Optimization and Radiotherapy [..]

Features

• Comprehensive reference work for a grow-ing field of crucial importance to researchers in a va-riety of subject areas including industrial engi-neering, operations research and mathematics &nb-sp;• Revised and expanded edition of successful ref-erence work published by Kluwer Academic Publish-ers in 2001 • Enhanced online content, up-to-date cross references, and entries keyed to MSC sub-ject [..]

Fields of interest

Optimization; Algorithms; Mathematical Modelingand Industrial Mathematics

Target groups

Students, scientists, engineers and researchers inacademia, industry and government

Type of publication

Contributed volume

Due July 2008

2008. eReference.

1.925,00 €

ISBN 978-0-387-74759-0

C.A. Floudas, Princeton University, NJ, USA; P.M. Pardalos, Univer-

sity of Florida, Gainesville, USA (Eds.)

Encyclopedia of Optimization

Second Edition

The goal of the Encyclopedia of Optimization is tointroduce the reader to a complete set of topics thatshow the spectrum of research, the richness of ideas,and the breadth of applications that has come fromthis field. In 2000, the first edition was widely ac-claimed and received high praise. J.B. Rosen crownedit "an indepensible resource" and Dingzhu Du laud-ed it as "the standard most important reference inthis very dynamic research field." Top authors suchas Herbert Hauptman (winner of the Nobel Prize)and Leonid Khachiyan (the Ellipsoid theorist) con-tributed and the second edition keeps these seminalentries. The second edition builds on the success ofthe former edition with more than 150 completelynew entries, designed to ensure that the referenceaddresses recent areas where optimization theoriesand techniques have advanced. Particularly heavyattention resulted in health science and transporta-tion, with entries such as "Algorithms for Genomics,""Optimization and Radiotherapy [..]

Features

• Comprehensive reference work for a grow-ing field of crucial importance to researchers in a va-riety of subject areas including industrial engi-neering, operations research and mathematics &nb-sp;• Revised and expanded edition of successful ref-erence work published by Kluwer Academic Publish-ers in 2001 • Enhanced online content, up-to-date cross references, and entries keyed to MSC sub-ject [..]

Fields of interest

Optimization; Operations Research, MathematicalProgramming; Algorithms; Calculus of Variationsand Optimal Control; Optimization; MathematicalModeling and Industrial Mathematics

Target groups

Students, scientists, engineers and researchers inacademia, industry and government

Type of publication

Encyclop(a)edia

Due July 2008


1.925,00 €

ISBN 978-0-387-74758-3


V. Fomichov, K.E.Tsiolkovsky Russian State Technological Univer-

sity

Semantics-Oriented Natural

Language Processing

Mathematical Models and Algorithms

This book examines key issues in designing seman-tics-oriented natural language processing systems.A broad conceptual framework for describing struc-tured meanings of NL-texts is obtained by defining anew class of formal languages called standard knowl-edge languages (SK-languages) using a system the-oretical approach. Readers will gain knowledge ofthese languages and will learn a way of building se-mantic representations using them. With extensiveuse of examples and illustrations to clarify complexmaterial and demonstrate practical applications, gen-erous historical and bibliographical notes, end-of-chapter exercises, and glossaries, this book will serveas an ideal graduate-level textbook, as well as a goodreference for researchers and practitioners who dealwith the various problems involving semantics ofnatural language texts.

Features

Substantially formal treatment of issues for design-ers of natural language processing systems Presentsan in-depth treatment of NL semantics and a math-ematical model of a linguistics database Extensiveuse of examples and illustrations to clarify complexmaterial and demonstrate practical applications Endof chapter exercises, historical and bibliographicalnotes, and glossaries enrich the text

Contents

Preface.- Mathematical Models for Designing Natu-ral Language Processing Systems as a New Field ofStudies for Systems Science.- A Mathematical Modelfor Describing a System of Primary Units of Concep-tual Level Used by Linguistic Processors.- A Math-ematical Model for Describing Structured Mean-ings of Natural Language Sentences and Discours-es.- A Study of the Expressive Possibilities of SK-lan-guages.- The Analysis of the Possibilities of UsingSK-languages for Solving Some Important Problemsof Computer Science.- A Mathematical Model of aLinguistic Database.- A New Method of Fulfilling [..]

Fields of interest

Systems Theory, Control; Language Translation andLinguistics; Algorithms; Discrete Mathematics inComputer Science; Information Systems Applica-tions (incl.Internet)

Target groups

Graduate students, researchers and practitioners

Type of publication


Due June 2008

2008. Approx. 360 pgs. (IFSR International Series on Systems Sci-

ence and Engineering, Vol. 26) Hardcover

ISBN 978-0-387-72924-4

I. Fonseca, Carnegie Mellon University, Pittsburgh, PA, USA; G.

Leoni, Carnegie Mellon University, Pittsburgh, PA, USA

Modern Methods in the Calculus of

Variations

L^p Spaces

This book addresses fundamental questions relatedto lower semicontinuity and relaxation of function-als within the unconstrained setting, mainly in L^pspaces. It prepares the ground for the second vol-ume where the variational treatment of functionalsinvolving fields and their derivatives will be under-taken within the framework of Sobolev spaces. Thisbook is self-contained. All the statements are fullyjustified and proved, with the exception of basic re-sults in measure theory, which may be found in anygood textbook on the subject. It also contains severalexercises. Therefore, it may be used both as a gradu-ate textbook as well as a reference text for researchersin the field.

Features

Presented in an unified, contemporary way, a com-prehensive analysis of necessary and sufficient con-ditions for sequential lower semicontinuity of func-tionals on Lp spaces, followed by relaxation tech-niques

Contents

Preface.- Measure Theory and Lp Spaces.- Mea-sures.- Lp spaces.- The Direct method and lowersemicontinuity.- Convex analysis.- Functionals de-fined on Lp.- Integrands f = f (z).- Integrands f = f (x;z).- Integrands f = f (x; u; z).- Young measures.- AAppendix.- B Notes and open problems.- C Notationand List of symbols.- Index.

Fields of interest

Calculus of Variations and Optimal Control; Opti-mization; Continuum Mechanics and Mechanics ofMaterials; Analysis; Partial Differential Equations;Applications of Mathematics

Target groups


Type of publication


Due October 2007

2007. Approx. 615 p. (Springer Monographs in Mathematics)

Hardcover

46,95 €

ISBN 978-0-387-35784-3

M. Foreman, State University of California; A. Kanamori, Boston

University (Eds.)

Handbook of Set Theory

This handbook is the definitive compendium of themethods, results, and current initiatives in modernset theory in all its research directions. Set theory hasentered its prime as an advanced and autonomousfield of mathematics with foundational significance,and the expanse and variety of this handbook atteststo the richness and sophistication of the subject. Thechapters are written by acknowledged experts, majorresearch figures in their areas, and they each bringto bear their experience and insights in carefullywrought, self-contained expositions. There is histor-ical depth, elegant development, probing to the fron-tiers, and prospects for the future. This handbook isessential reading for the aspiring researcher, a pivotalfocus for the veteran set theorist, and a massive ref-erence for all those who want to gain a larger senseof the tremendous advances that have been made inthe subject, one which first appeared as a foundationof mathematics but in the last several decades has ex-panded [..]

Features

Definitive compendium of all of modern set theory.Chapters written by the leading experts in their ar-eas. Carefully crafted, self-contained expositions forall the subfields of set theory. No other up-to-datesingle source available for all the subfields of set the-ory.

Fields of interest

Mathematical Logic and Foundations; Logic; Philos-ophy of Science

Target groups

Graduate students, researchers, and all mathemati-cians interested in set theory.

Type of publication

Handbook

Due October 2007

2008. Approx. 2150 p. (4-volume-set) Hardcover

500,00 €

ISBN 978-1-4020-4843-2


A. Friedman, Ohio State University, OH, USA (Ed.)

Tutorials in Mathematical

Biosciences IV

Evolution and Ecology

The book offers an easy introduction to fast grow-ing research areas in evolution of species, popula-tion genetics, ecological models, and population dy-namics. The first two chapters review the conceptand methodologies of phylogenetic trees; computa-tional schemes and illustrations are given, includingapplications such as tracing the origin of SARS andinfluenza. The third chapter introduces the readerto ecological models, including predator-prey mod-els. This chapter includes an introduction to reac-tion-diffusion equations, which are used to analyzethe ecological models. The next chapter reviews abroad range of ongoing research in population dy-namics, including evolution of dispersal models; italso features interesting mathematical theorems andlists open problems. The final chapter deals withgene frequencies under the action of migration andselection. The book is addressed to readers at thelevel of graduate students and researchers. A back-ground in PDEs is provided.

Contents

Inference of Phylogenetic Trees (Laura Salter Ku-batko).- Large-Scale Phylogenetic Analysis of Emerg-ing Infectious Diseases (Daniel Janies and DiegoPol).- Reaction-Diffusion Equations and EcologicalModeling (Chris Cosner).- The Dynamics of Migra-tion-Selection Models (Thomas Nagylaki and YuanLou).- Some Challenging Mathematical Problemsin Evolution of Dispersal and Population Dynamics(Yuan Lou).

Fields of interest

Mathematical Biology in General; Physiological, Cel-lular and Medical Topics

Target groups

Researchers and graduate students in mathematicsand/or biology interested in mathematical modelingof biological processes

Type of publication

Monograph

Due October 2007

2008. VII, 205 p. 21 illus. (Mathematical Biosciences Subseries,

Vol. 1922) Softcover

39,95 €

ISBN 978-3-540-74328-6

T.L. Friesz, Pennsylvania State University, University Park, PA, USA

Dynamic Optimization and

Differential Games

Dynamic Optimization and Differential Games hasbeen written to address the increasing number ofOperations Research and Management Science prob-lems (that is, applications) that involve the explic-it consideration of time and of gaming among mul-tiple agents. It is a book that will be used both as atextbook and as a reference and guide to engineers,operation researchers, applied mathematicians andsocial scientists whose work involves the theoreti-cal aspects of dynamic optimization and differentialgames. Included throughout the text are detailed ex-planations of several original dynamic and game-the-oretic mathematical models which are of particularrelevance in today’s technologically-driven-globaleconomy: revenue management, supply chain man-agement, electric power systems, urban freight sys-tems, dynamic congestion pricing, dynamic trafficassignment, electronic commerce and the Internet.In addition, there will be some more traditional ap-plications with useful pedagogical content includedin Chapter 1.

Features

Will be of interest to students, researchers, and prac-titioners of OR/MS, Industrial Engineering, Sup-ply Chain Management, Applied Economics, Trans-portation, and Economic Geography. These fieldsare very actively working on the new, high-interestproblems that require the strengthening of modelingskills to solve dynamic optimization problems anddynamic games While the mathematics of continu-ous time games can [..]

Contents

Preface.- Introduction.- Nonlinear programmingand discrete time optimal control.- The classicalcalculus of variations and optimal control in con-tinuous time.- Infinite dimensional mathemati-cal programming.- Static Cournot-Nash-Bertrandgames and finite dimensional variational inequali-ties.- Cournot-Nash-Bertrand differential games.-Stochastic differential variational inequalities andstochastic dynamic games.- Dynamic supply, pro-duction and distribution planning.- Dynamic trafficassignment.- Dynamic competitive revenue manage-ment in competition.- Index.

Fields of interest

Operation Research/Decision Theory; Optimization;Game Theory, Economics, Social and Behav. Sci-ences; Mathematical Modeling and Industrial Math-ematics; Production/Logistics

Target groups

Students, practitioners, researchers

Type of publication

Monograph

Due November 2007


& Management Science) Hardcover

73,90 €

ISBN 978-0-387-72777-6

M. Frittelli, Università degli Studi di Firenze, Italy; S. Biagini, Uni-

versità degli Studi di Perugia, Italy; G. Scandolo, Università degli

Studi di Firenze, Italy

Duality in Mathematical Finance

This monograph presents an advanced and unifiedtreatment of four important issues that have dom-inated the theoretical research in mathematical fi-nance for the last ten years: (1) the fundamental the-orem of asset pricing; (2) utility maximization in in-complete markets; (3) pricing in incomplete markets;(4) the risk measurement of a static payoff and of acash-flow stream. The powerful tools of convex anal-ysis and duality theory are systematically applied toinvestigate these topics, under very general assump-tions on the financial markets. This duality approachreveals the prominent role of the investor’s prefer-ences in all these fundamental issues and contributesto a deeper understanding of the economic aspects ofthe theory.

Fields of interest

Quantitative Finance

Type of publication

Monograph

Due November 2008

2008. Approx. 150 p. (Springer Finance) Hardcover

44,95 €

ISBN 978-3-540-40108-7


A. Fuchs, Florida Atlantic University, Boca Raton FL, USA; V.K. Jir-

sa, Université de la Méditerranée, Marseille, France (Eds.)

Coordination: Neural, Behavioral

and Social Dynamics

One of the most striking features of CoordinationDynamics is its interdisciplinary character. Theproblems we are trying to solve in this field rangefrom behavioral phenomena of interlimb coordina-tion and coordination between stimuli and move-ments (perception-action tasks) through neural ac-tivation patterns that can be observed during thesetasks to clinical applications and social behavior. It isnot surprising that close collaboration amongscientists from different fields as psychology,kinesiology, neurology and even physics are impera-tive to deal with the enormous difficulties we are fac-ing when we try to understand a system as complexas the human brain. The chapters in this volume arenot simply write-ups of the lectures given by the ex-perts at the meeting but, as we hope, are written ina way that they give sufficient introductory informa-tion to be comprehensible and useful for all interest-ed scientists and students.

Features

Brings together the state of the art in coordinationdynamics Combines the theory and application inhuman coordination including self organization pro-cesses, neural, behavioral and social/cooperative dy-namics

Contents

Part I Behavioral Dynamics.- Part II Neural Dynam-ics.- Part III Social Dynamics.- Part IV Coordina-tion: Neural, Behavioral and Social Dynamics.

Fields of interest

Vibration, Dynamical Systems, Control; NonlinearDynamics, Complex Systems, Chaos, Neural Net-works; Human Physiology; Appl.Mathematics/Com-putational Methods of Engineering; Dynamical Sys-tems and Ergodic Theory

Target groups

Researchers, engineers, graduate students in com-plexity, applied nonlinear dynamics, coordination,physiology

Type of publication

Monograph

Due January 2008

2008. Approx. 380 p. 108 illus. (Understanding Complex Systems)

Hardcover

99,95 €

ISBN 978-3-540-74476-4


S. Fujita, University at Buffalo, New York, NY, USA; K. Ito, National

Center for University Entrance Examinations, Tokyo, Japan

Quantum Theory of Conducting

Matter

Newtonian Equations of Motion for a Bloch Electron

The Bloch electron (wave packet) moves followingNewtonian equation of motion. Under an appliedmagnetic field B the electron circulates around thefield B counterclockwise or clockwise dependingon the curvature of the Fermi surface. The signs ofthe Hall coefficient and the Seebeck coefficient areknown to give the sign of the major carrier charge.For alkali metals, both are negative, indicating thatthe carriers are "electrons." These features arise fromthe Fermi surface difference. The authors show animportant connection between the conduction elec-trons and the Fermi surface in an elementary mannerin the text. No currently available text explains thisconnection. The authors do this by deriving Newto-nian equations of motion for the Bloch electron anddiagonalizing the inverse mass (symmetric) tensor.

Features

Current solid-state physics books say very little aboutthe dynamics of Bloch electrons, and this book willhelp users to learn and master the issue The bookbrings together various modern concepts at the fore-front of condensed matter physics including the con-nection between conduction electrons and the Fermisurface The book will be followed up by a more ad-vanced book on superconductivity and the QuantumHall Effect

Contents

Preliminaries.- Introduction.- Lattice Vibrations:Heat Capacity.- Free Electrons: Heat Capacity.- Elec-tric Conduction and the Hall Effect.- Magnetic Sus-ceptibility.- Boltzmann Equation Method.- BlochElectron Dynamics.- Bloch Theorem.- The FermiLiquid Model.- The Fermi Surface.- Bloch ElectronDynamics.- Applications: Fermionic Systems (Elec-trons).- de Hass-van Alphen Oscillations.- Magne-toresistance.- Cyclotron Resonance.- Seebeck Coeffi-cient (Thermopower).- Infrared Hall Effect.- Appli-cation: Superconductors.- Superconductors.

Fields of interest

Quantum Physics; Quantum Computing, Informa-tion and Physics; Elementary Particles, QuantumField Theory; Quantum Optics, Quantum Electron-ics, Nonlinear Optics

Target groups

Scientists and researchers focused on condensedmatter physics, solid state physics or electromag-netism; graduate students studying Block electrondynamics

Type of publication

Monograph

Due December 2007


62,95 €

ISBN 978-0-387-74102-4

K. Furmans, University of Karlsruhe, Germany

Material Handling and Production

Systems Modelling - based on

Queuing Models

Queueing models were successfully applied for ma-terial handling and production systems. The bookhelps practitioners to understand the major influ-ences for inventory and lead times. Stochastic effectsare frequently disregarded when designing materialhandling or production systems. Cause and effectsfor response times are derived. Based on this knowl-edge it is possible to identify areas of improvementin material handling systems. The book bridges thegap between stochastic modelling and practical en-gineering by combining the theoretical backgroundwith modelling examples in several application do-mains. It is also a useful supplement in Masters andPh.D. courses for students interested in engineeringand operations management.

Features

Bridges the gap between stochastic modelling andengineering by combining a sound theoretical back-ground with modelling examples in several applica-tion domains Based on this knowledge it is possibleto identify areas of improvement in material han-dling and supply chain systems

Contents

Elements of Supply Chains.- Queuing Networks.-Applications and Examples.

Fields of interest

Engineering Economics, Organization, Logistics,Marketing; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Organization/Planning;Production/Logistics; Operation Research/DecisionTheory

Target groups

Practitioners, researchers, Academic teachers

Type of publication

Professional book

Due August 2008

2008. Approx. 150 p. 40 illus.. Hardcover

59,95 €

ISBN 978-3-540-31774-6

G. Fusai, Università del Piemonte Orientale, Novara, Italy; A. Ron-

coroni, ESSEC, Cergy Pontoise, France

Implementing Models in

Quantitative Finance: Methods and

Cases

This book puts numerical methods into action forthe purpose of solving concrete problems arisingin quantitative finance. Part one develops a com-prehensive toolkit including Monte Carlo simula-tion, numerical schemes for partial differential equa-tions, stochastic optimization in discrete time, copu-la functions, transform-based methods and quadra-ture techniques. The content originates from classnotes written for courses on numerical methods forfinance and exotic derivative pricing held by the au-thors at Bocconi University since the year 2000. Parttwo proposes eighteen self-contained cases cover-ing model simulation, derivative valuation, dynam-ic hedging, portfolio selection, risk management, sta-tistical estimation and model calibration. It encom-passes a wide variety of problems arising in marketsfor equity, interest rates, credit risk, energy and exot-ic derivatives. Each case introduces a problem, devel-ops a detailed solution and illustrates empirical re-sults. Proposed algorithms are implemented [..]

Features

Fills a gap in the current published literature by de-livering a case-study collection together with a self-contained course on major numerical methods de-veloped and used by the finance industry Learn-ing-by-doing approach: all steps detailed in a self-contained way Covers a range of numerical meth-ods Blends theoretical presentation and practical im-plementations Originality in the choice of cases Pro-vides [..]

Contents

Contents: Part I: Methods. Finite Difference Meth-ods; Numerical Solution of Linear Systems; BasicMonte Carlo; Advanced Monte Carlo; QuadratureMethods; Laplace Transforms; Structuring Depen-dence using Copula Functions; Dynamic Program-ming - Part II: Cases. Portfolio Selection: "Optimiz-ing an Error"; Alpha, Beta, and Beyond; AutomaticTrading: Winning or Losing in a kBit; Estimating theRisk Neutral Density; An "American" Monte Car-lo; Fixing Volatile Volatility; An Average Problem;Quasi Monte Carlo; Lookback Options: A DiscreteProblem; Electrifying the Price of Power; A Sparkling[..]

Fields of interest

Quantitative Finance; Computational Mathematicsand Numerical Analysis; Partial Differential Equa-tions; Numerical Analysis

Target groups

MSs students, Ph.D. candidates, teachers and re-searchers in applied finance, traders and model de-velopers at financial, insurance and industrial insti-tutions

Type of publication

Monograph

Due December 2007

2007. XIX, 686 p. 145 illus., 4 in color. Also available online.

(Springer Finance) Hardcover


69,95 €

ISBN 978-3-540-22348-1

S.G. Gal, University of Oradea, Romania

Shape-Preserving Approximation

by Real and Complex Polynomials

This monograph presents the first comprehensivetreatment in book form of shape-preserving approx-imation by real or complex polynomials in one orseveral variables. Such approximation methods areuseful in many problems arising in science and engi-neering requiring an optimal mathematical represen-tation of physical reality. Three different construc-tive methods are applicable to all four categories ofshape-preserving approximation by polynomials andthus serve as ‘red lines’ for the book: Bernstein-type,Shisha-type, and convolution-type. Containing manyopen problems at the end of each chapter to spur fu-ture research as well as a rich and updated bibliog-raphy surveying the vast literature, the text will beuseful to graduate students and researchers interest-ed in approximation theory, mathematical analysis,numerical analysis, Computer Aided Geometric De-sign, robotics, data fitting, chemistry, fluid mechan-ics, and engineering.

Features

First comprehensive treatment in book form ofshape-preserving approximation by real or complexpolynomials in one or several variables Of interest tograd students and researchers in approximation the-ory, mathematical analysis, numerical analysis, Com-puter Aided Geometric Design, robotics, data fitting,chemistry, fluid mechanics, and engineering Con-tains many open problems to spur future researchRich and [..]

Contents

Preface.- Shape Preserving Approximation by RealUnivariate Polynomials.- Shape Preserving Approx-imation by Real Multivariate Polynomials.- ShapePreserving Approximation by Complex Uni-variate Polynomials.- Shape Preserving Approxima-tion by Real Multivariate Polynomials.- Appendix:Some Related Topics.- References.- Index.

Fields of interest

Approximations and Expansions; Real Func-tions; Functions of a Complex Variable; Compu-tational Mathematics and Numerical Analysis;Appl.Mathematics/Computational Methods of Engi-neering; Math Applications in Computer Science

Target groups

Graduate students and researchers in ApproximationTheory, Mathematical Analysis, Numerical Analysis,Computer Aided Geometric Design, Robotics, DataFitting, Chemistry, Fluid Mechanics, and Engineer-ing

Type of publication

Monograph

Due April 2008


76,25 €

ISBN 978-0-8176-4702-5

G.P. Galdi, University of Pittsburgh, PA, USA; R. Rannacher,

Universität Heidelberg, Germany; A.M. Robertson, University of

Pittsburgh, PA, USA; S. Turek, Universität Dortmund, Germany

Hemodynamical Flows

Modeling, Analysis and Simulation

This book surveys results on the physical and math-ematical modeling as well as the numerical simula-tion of hemodynamical flows, i.e., of fluid and struc-tural mechanical processes occurring in the humanblood circuit. The topics treated are continuum me-chanical description, choice of suitable liquid andwall models, mathematical analysis of coupled mod-els, numerical methods for flow simulation, param-eter identification and model calibration, fluid-sol-id interaction, mathematical analysis of piping sys-tems, particle transport in channels and pipes, artifi-cial boundary conditions, and many more. Hemody-namics is an area of active current research, and thisbook provides an entry into the field for graduatestudents and researchers. It has grown out of a seriesof lectures given by the authors at the OberwolfachResearch Institute in November, 2005.

Features

Written by an interdisciplinary group of expertsfrom mechanical engineering, mathematical analy-sis, and numerics The subject is treated from differ-ent points of view representing the state-of-the-artin their field, guaranteeing a good degree of theoreti-cal soundness and practical relevance of the materialpresented

Contents

Preface.- Continuum mechanical description ofblood flow.- Mechanical models of blood vesselwalls.- Analysis of Newtonian and non-Newtonianfluid models.- Numerical methods for flow simula-tion.- Aspects of mesh and model adaptivity.- Par-ticle transport in viscous flows.- Flows through sys-tems of pipes.- Fluid-structure interaction in bloodvessels.

Fields of interest

Applications of Mathematics; Physiological, Cellularand Medical Topics; Mathematical Modeling and In-dustrial Mathematics; Computational Mathematicsand Numerical Analysis

Type of publication


Due December 2007

2007. Approx. 512 p. (Oberwolfach Seminars, Vol. 37) Softcover

39,90 €

ISBN 978-3-7643-7805-9


G. Gallavotti, Universita di Roma "La Sapienza", Roma, Italy (Ed.)

The Fermi-Pasta-Ulam Problem

A Status Report

The apparent contradiction of the results of the Fer-mi-Pasta-Ulam experiment conducted in 1953 and1954 with the hypothesis that essentially any nonlin-earity would lead to a system exhibiting ergodic be-haviour has become known as the Fermi-Pasta-UlamProblem. This volume reviews the current under-standing of this paradox without trying to force co-herence on differing perspectives on the same prob-lem by various groups or approaches. The contribu-tions comprise studies of one-dimensional chains,descriptions of numerical methods, heuristic theo-ries, addressing the “long standing and controversialproblem of distinguishing chaos from noise in signalanalysis,” metastability, the relation of the FPU mo-tions with the integrable equations, approaches usingmethods of perturbation theory and the proof of theapplicability of KAM theory in FPU chains with en-ergy very close to a minimum. For the convenienceof the reader the original work of FPU is reprinted inan appendix. The order of the contributions [..]

Features

Comprehensive set of reviews on the questionsraised by the FPU experiment and the answers andapproaches known 50 years later With a reprint ofthe original FPU paper

Contents

Introduction - Dynamics of Oscillators Chains.- Roleof Chaos for the Validity of Statistical Mechanivs.-The FPU Problem and the Metastability Perspec-tive.- Resonance, Metastability and Blow up in FPU.-Center Manifold Theory in the Context of InfiniteONe Dimensional Lattices.- Numerical Methods andResults in FPU.- Proof of Nishida`s Conjecture onAnharmonic Lattices.

Fields of interest

Mathematical and Computational Physics; Mechan-ics; Dynamical Systems and Ergodic Theory; Statisti-cal Physics; Partial Differential Equations

Target groups

Researchers, advanced students of physics

Type of publication

Monograph

Due October 2007



89,95 €

ISBN 978-3-540-72994-5

W.T. Gan, UCSD, La Jolla, CA, USA; S.S. Kudla, University of Mary-

land, College Park, MD, USA; Y. Tschinkel, Courant Institute of

Mathematical Sciences/NYU, New York, NY, 10012 (Eds.)

Eisenstein Series and Applications

Eisenstein series are an essential ingredient in thespectral theory of automorphic forms and an impor-tant tool in the theory of L-functions. They have alsobeen exploited extensively by number theorists formany arithmetic purposes. Bringing together con-tributions from areas that are not usually in-teracting with each other, this volume introducesdiverse users of Eisenstein series to a variety of im-portant applications. With this juxtaposition of per-spectives, the reader obtains deeper insights into thearithmetic of Eisenstein series. The central themeof the exposition focuses on the common structuralproperties of Eisenstein series occurring in many re-lated applications that have arisen in several recentdevelopments in arithmetic: Arakelov intersectiontheory on Shimura varieties, special values of L-func-tions and Iwasawa theory, and equidistribution of ra-tional/integer points on homogeneous varieties. Keyquestions that are considered include: Is it possibleto identify a class of [..]

Features

Brings together contributions from diverse areas, ex-posing users of Eisenstein series to a variety of im-portant applications Focuses on the common struc-tural properties of Eisenstein series as applied to sev-eral recent developments in arithmetic: Arakelov in-tersection theory on Shimura varieties, special valuesof L-functions and Iwasawa theory, and equidistribu-tion of rational/integer points on homogeneous vari-eties

Contents

Preface.-Twisted Weyl Group Multiple Dirichlet Se-ries: The Stable Case.-A Topological Model for someSummand of the Eisenstein Cohomology of Con-gruence Subgroups.-The Saito-Lurokawa Space ofPGSp4 and its Transfer to Inner Forms.-Values ofArchimedean Zeta Integrals for Unitary Groups.-A Simple Proof of Rationality of Siegel-Weil Eisen-stein Series.-Residues of Eisenstein Series and Relat-ed Problems.-Some Extensions of the Siegel-WeilFormulta.-A Remark on Eisenstein Series.-Arith-metic Aspects of the Theta Correspondence and Pe-riods of Modular Forms.-Functoriality and SpecialValues of [..]

Fields of interest

Number Theory; Applications of Mathematics; Ge-ometry; Algebraic Geometry; Topological Groups,Lie Groups

Target groups


Type of publication

Contributed volume

Due February 2008

2008. XX, 318 p. (Progress in Mathematics, Vol. 258) Hardcover

54,90 €

ISBN 978-0-8176-4496-3

R. Geoghegan, State University of New York at Binghamton, NY,

USA

Topological Methods in Group

Theory

This book is about the interplay between algebraictopology and the theory of infinite discrete groups.This text is an important contribution to the fieldof topological and geometric group theory, and it isbound to become a standard reference in the field.To keep the length reasonable and the focus clear,the author assumes the reader knows or can easi-ly learn the necessary algebra, but wants to see thetopology done in detail. The central themeof the book is the theory of ends. Here the authoradopts a new algebraic approach which is geometricin spirit. While the beginning chapters cover stan-dard topics from a 1st year algebraic topology course,the author has also included material which isn't cov-ered in other textbooks, such as cell trading. The ear-ly material could be used for a graduate level courseon algebraic topology. The latter material will be ofinterest to group theorists who would like to knowmore about the topological side of their subject, aswell as manifold [..]

Features

Covers important topics not covered elsewhere Pro-vides an accessible review of general topology Pro-vides in detail the topological tools needed for grouptheory Contains more than 40 figures Immensepractical value as each chapter includes exercisesthroughout Self-contained and suitable for graduatecourses on algebraic topology or on its applicationsto group theory

Contents

Preface.- CW Complexes and Homotopy.- CellularHomology.- Fundamental Group and Tietze Trans-formations.- Some Techniques In Homotopy The-ory.- Elementary Geometric Topology.- The BorelConstruction and Bass-Serre Theory.- TopologicalFiniteness Properties and Dimension of Groups.-Homological Finitenes Properties of Groups.- Finite-ness Properties of Some Important Groups.- LocallyFinite CW Complexes and Proper Homotopy.- Lo-cally Finite Homology.- Cohomology of CW Com-plexes.- Cohomology of Groups and Ends of Cov-ering Spaces.- Filtered Ends of Pairs of Groups.-Poincare Duality in [..]

Fields of interest

Topological Groups, Lie Groups; Group Theory andGeneralizations; Topology

Target groups

Advanced undergraduates/graduate students; suit-able for researchers

Type of publication


Due December 2007


Vol. 243) Hardcover

46,20 €

ISBN 978-0-387-74611-1


M. Giaquinta, Scuola Normale Superiore, Pisa, Italy; G. Modica,

Università degli Studi di Firenze, Italy

Mathematical Analysis

Foundations and Advanced Techniques for Functions of Sev-

eral Variables

Mathematical Analysis: Foundations and AdvancedTechniques for Functions of Several Variables buildsupon the basic ideas and techniques of differentialand integral calculus for functions of several vari-ables, as outlined in an earlier introductory volume.The presentation is largely focused on the founda-tions of measure and integration theory. The bookbegins with a discussion of the geometry of Hilbertspaces, convex functions and domains, and differ-ential forms, particularly k-forms. The expositioncontinues with an introduction to the calculus ofvariations with applications to geometric optics andmechanics. It concludes with the study of measureand integration theory --- Borel, Radon, and Haus-dorff measures and the derivation of measures. Anappendix highlights important mathematicians andother scientists whose contributions have made agreat impact on the development of theories in anal-ysis. This work may be used as a supplementary textin the classroom or for self-study by advanced [..]

Features

Provides theoretical foundation for analysis of func-tions of several variables Motivates the topics withexamples, observations, exercises, and illustrationsIncludes appendix of mathematicians who made im-portant contributions to analysis Exciting historicalbackground motivates the subject

Contents

Preface.-Spaces.-Convex functions and convexdomains.-The formalism of the calculus of vari-ations.-Differential forms.-Measure and integra-tion.-Hausdorff and Radon measures.-Appendix A:Mathematicians and other scientists.-References.-In-dex.

Fields of interest

Analysis; Measure and Integration; Functional Anal-ysis; Functions of a Complex Variable; Several Com-plex Variables and Analytic Spaces

Target groups

Advanced undergraduate and graduate students, re-searchers in mathematics and mathematical physics,and engineers

Type of publication


Due April 2009


ISBN 978-0-8176-4508-3




Foundations and Advanced Techniques for Functions of Sev-

eral Variables

Mathematical Analysis: Foundations and AdvancedTechniques for Functions of Several Variables buildsupon the basic ideas and techniques of differentialand integral calculus for functions of several vari-ables, as outlined in an earlier introductory volume.The presentation is largely focused on the founda-tions of measure and integration theory. The bookbegins with a discussion of the geometry of Hilbertspaces, convex functions and domains, and differ-ential forms, particularly k-forms. The expositioncontinues with an introduction to the calculus ofvariations with applications to geometric optics andmechanics. It concludes with the study of measureand integration theory --- Borel, Radon, and Haus-dorff measures and the derivation of measures. Anappendix highlights important mathematicians andother scientists whose contributions have made agreat impact on the development of theories in anal-ysis. This work may be used as a supplementary textin the classroom or for self-study by advanced [..]

Features

Provides theoretical foundation for analysis of func-tions of several variables Motivates the topics withexamples, observations, exercises, and illustrationsIncludes appendix of mathematicians who made im-portant contributions to analysis Exciting historicalbackground motivates the subject

Contents

Preface.-Spaces.-Convex functions and convexdomains.-The formalism of the calculus of vari-ations.-Differential forms.-Measure and integra-tion.-Hausdorff and Radon measures.-Appendix A:Mathematicians and other scientists.-References.-In-dex.

Fields of interest

Analysis; Measure and Integration; Functional Anal-ysis; Functions of a Complex Variable; Several Com-plex Variables and Analytic Spaces

Target groups

Advanced undergraduate and graduate students, re-searchers in mathematics and mathematical physics,and engineers

Type of publication


Due January 2009


ISBN 978-0-8176-4506-9




An Introduction to Functions of Several Variables

This self-contained work is an introductory presen-tation of basic ideas, structures, and results of differ-ential and integral calculus for functions of severalvariables. The wide range of topics covered include:differential calculus of several variables, includingdifferential calculus of Banach spaces, the relevantresults of Lebesgue integration theory, differentialforms on curves, a general introduction to holomor-phic functions, including singularities and residues,surfaces and level sets, and systems and stability ofordinary differential equations. An appendix high-lights important mathematicians and other scientistswhose contributions have made a great impact onthe development of theories in analysis. Mathemati-cal Analysis: An Introduction to Functions of SeveralVariables motivates the study of the analysis of sev-eral variables with examples, observations, exercises,and illustrations. It may be used in the classroom set-ting or for self-study by advanced undergraduate andgraduate [..]

Features

Introductory text for analysis of functions of sever-al variables Covers wide range of topics and applica-tions Motivates the topics with examples, observa-tions, exercises, and illustrations Exciting historicalbackground motivates the subject

Contents

Preface.-Differential calculus.-The integral calcu-lus.-Curves and differential forms.-Holomorphicfunctions.-Surfaces and level sets.-Systems of ordi-nary differential equations.-Appendix A: Mathemati-cians and other scientists.-References.-Index.

Fields of interest

Analysis; Measure and Integration; Calculus of Vari-ations and Optimal Control; Optimization; SeveralComplex Variables and Analytic Spaces; OrdinaryDifferential Equations

Target groups

Advanced undergraduates, graduate students, re-searchers in mathematics and physics, mathematicsinstructors, and engineers

Type of publication


Due October 2008


46,20 €

ISBN 978-0-8176-4507-6





An Introduction to Functions of Several Variables

This self-contained work is an introductory presen-tation of basic ideas, structures, and results of differ-ential and integral calculus for functions of severalvariables. The wide range of topics covered include:differential calculus of several variables, includingdifferential calculus of Banach spaces, the relevantresults of Lebesgue integration theory, differentialforms on curves, a general introduction to holomor-phic functions, including singularities and residues,surfaces and level sets, and systems and stability ofordinary differential equations. An appendix high-lights important mathematicians and other scientistswhose contributions have made a great impact onthe development of theories in analysis. Mathemati-cal Analysis: An Introduction to Functions of SeveralVariables motivates the study of the analysis of sev-eral variables with examples, observations, exercises,and illustrations. It may be used in the classroom set-ting or for self-study by advanced undergraduate andgraduate [..]

Features

Introductory text for analysis of functions of sever-al variables Covers wide range of topics and applica-tions Motivates the topics with examples, observa-tions, exercises, and illustrations Exciting historicalbackground motivates the subject

Contents

Preface.-Differential calculus.-The integral calcu-lus.-Curves and differential forms.-Holomorphicfunctions.-Surfaces and level sets.-Systems of ordi-nary differential equations.-Appendix A: Mathemati-cians and other scientists.-References.-Index.

Fields of interest

Analysis; Measure and Integration; Calculus of Vari-ations and Optimal Control; Optimization; SeveralComplex Variables and Analytic Spaces; OrdinaryDifferential Equations

Target groups

Advanced undergraduates, graduate students, re-searchers in mathematics and physics, mathematicsinstructors, and engineers

Type of publication


Due April 2008


99,35 €

ISBN 978-0-8176-4509-0

J.P. Gilman, Rutgers University, Newark, NJ, USA; I. Kra, Math for

America, New York, NY, USA; R.E. Rodriguez, Pontificia Università

Catolica de Chile, Santiago, Chile

Complex Analysis

In the Spirit of Lipman Bers

This book organizes the basic material of complexanalysis in a unique manner. The first part of thebook is a study of the many equivalent ways of un-derstanding the concept of analyticity. The manyways of formulating the concept of an analytic func-tion are summarized in what we term the Funda-mental Theorem for functions of a complex variable.The organization of these conditions into a singleunifying theorem is a hallmark of Bers's mathemat-ical style with an emphasis on clarity and elegance.Here it provides a conceptual framework for resultsthat are highly technical and often computational.The framework comes from an insight that, once ar-ticulated, will drive the subsequent mathematics andlead to new results. In the second part, the text pro-ceeds to a leisurely exploration of interesting ramifi-cations of the main concepts. The book covers most,if not all, of the material contained in Bers’s courseson first year complex analysis. In addition, topics ofcurrent interest such as zeros of [..]

Features

Covers vast majority of the material needed for a be-ginning graduate level course on complex analysisElegant and economical treatment of complex anal-ysis Provides many ways of understanding the con-cept of analyticity Material of interest to computerscientists, physicists and engineers

Contents

Preface.- Standard Notation and Commonly usedSymbols.- The Fundamental Theorem in ComplexFunction Theory.- Foundations.- Power Series.-The Cauchy Theory-A Fundamental Theorem.- TheCauchy Theory-Key Consequences.- Cauchy The-ory: Local Behavior and Singularities of Holomor-phic Functions.- Sequences and Series of Holomor-phic Functions.- Conformal Equivalence.- HarmonicFunctions.- Zeros of Holomorphic Functions.- Bibli-ographical Notes.- Bibliography.- Index.

Fields of interest

Functions of a Complex Variable; Several ComplexVariables and Analytic Spaces

Target groups

First year graduate students in mathematics, mathe-maticians

Type of publication


Due December 2007

2008. Approx. 235 p. (Graduate Texts in Mathematics, Vol. 245)

Hardcover

53,90 €

ISBN 978-0-387-74714-9

D. Gitman, University of Sao Paulo, Brazil; I. Tyutin, P.N. Lebedev

Institute, Moscow, Russia; B. Voronov, P.N. Lebedev Institute,

Moscow, Russia

Self-adjoint Extensions as a

Quantization Problem

Quantization in quantum mechanics dealswith the problem of correctdefining various classical structures, for exam-ple, quantum-mechanical observables suchas Hamiltonian, momentum, self-adjoint op-erators in some Hilbert space and so on. Thoughthere exists a naive treatment, based on experiencein finite-dimensional algebra or even infinite-dimen-sional algebra with bounded operators, it results inparadoxes and inaccuracies. This exposition is de-voted to a consistent treatment of such problems,based on appealing to some nontrivial items of func-tional analysis concerning the theory of linear op-erators in Hilbert spaces. It begins by consideringquantization problems in general, emphasizing thenon-triviality of consistent operator construction bypresenting paradoxes to the naive treatment. It thenbuilds the necessary mathematical background fol-lowing it by the theory of self-adjoint extensions. Byconsidering several problems such as the one-dimensional Calogero [..]

Features

Provides a consistent treatment of certain quanti-zation problems in quantum mechanics with sever-al examples Covers necessary mathematical back-ground Clear organization Ends with a interestingdiscussion related to similar quantum field theoryproblems

Contents

Introduction.- Self-adjoint extensions of symmetricoperators.- Consistent quantization of simple meth-ods.- Quantum mechanical problems with delta-likepotentials.- Relativistic and nonrelativistic particlesin Aharonov-Bohm field.- The problem of supercrit-ical point charge. Particle creation on the charge.-Discussion.- Subject Index.- Bibliography

Fields of interest

Applications of Mathematics; Mathematical Methodsin Physics; Operator Theory; Quantum Physics

Target groups

Students and post graduates interested in mathemat-ical problems in Quantum Mechanics; scientists inMathematical and Theoretical Physics, mathemati-cians interested in Quantum Theory and its applica-tion

Type of publication

Monograph

Due October 2009

2009. Approx. 255 p. (Progress in Mathematical Physics, Prelimi-

nary entry 1300) Hardcover

72,00 €

ISBN 978-0-8176-4400-0


M. Gondran, Université Pierre et Marie Curie - CNRS, France; M.

Minoux, Université Pierre et Marie Curie - CNRS, France

Graphs, Dioïds and Semirings

New Models and Algorithms

The primary objectives of Graphs, Dioïds and Semir-ings: New Models and Algorithms are to emphasizethe deep relations existing between the semiring anddioïd structures with graphs and their combinatori-al properties, while demonstrating the modeling andproblem-solving capability and flexibility of thesestructures. In addition the book provides an exten-sive overview of the mathematical properties em-ployed by “nonclassical” algebraic structures, whicheither extend usual algebra (i.e., semirings), or corre-spond to a new branch of algebra (i.e., dioïds), apartfrom the classical structures of groups, rings, andfields.

Features

A modern treatment of Graph Theory and its theo-retical developments and recent algorithmic applica-tions

Contents

Pre-Semirings, Semirings and Dioïds.- Combinato-rial Properties of (Pre-) Semirings.- Topology in Or-dered Sets/ Topological Dioïds.- Solving Linear Sys-tems in Dioïds.- Linear Dependence and Indepen-dence in Semi-Modules and Moduloïds.- Eigenval-ues and Eigenvectors of Endomorphisms.- Dioïdsand Nonlinear Analyses.- Collected Examples ofMonoïds, (Pre-) Semirings and Dioïds.- Bibliogra-phy.- Index.

Fields of interest

Operations Research, Mathematical Programming;Computer Systems Organization and Communi-cation Networks; Combinatorics; Operation Re-search/Decision Theory; Discrete Mathematics inComputer Science; Mathematical Modeling and In-dustrial Mathematics

Target groups

Students and researchers in Applied Mathematicsand Operations Research, as well as industry

Type of publication

Monograph

Due February 2008

2008. Approx. 415 p. (Operations Research/Computer Science

Interfaces Series, Vol. 41) Hardcover

99,95 €

ISBN 978-0-387-75449-9

D.H. Greene, Xerox Palo Alto Research Center, Palo Alto, CA, USA;

D.E. Knuth, Stanford University, Palo Alto, CA, USA

Mathematics for the Analysis of

Algorithms

This monograph, derived from an advanced comput-er science course at Stanford University, builds onthe fundamentals of combinatorial analysis and com-plex variable theory to present many of the majorparadigms used in the precise analysis of algorithms,emphasizing the more difficult notions. The authorscover recurrence relations, operator methods, andasymptotic analysis in a format that is terse enoughfor easy reference yet detailed enough for those withlittle background. Approximately half the book is de-voted to original problems and solutions from exam-inations given at Stanford.

Features

A collection of some fundamental mathematicaltechniques that are required for the analysis of algo-rithms Is very well written; the style and the mathe-matical exposition make the book pleasant to readA wide range of topics are covered, including manyof the major paradigms used in the analysis of algo-rithms, in an extremely concise manner (one hun-dred plus pages) Contains a wealth of highly original,[..]

Contents

Binomial Identities.- Recurrence Relations.- Opera-tor Methods.- Asymptotic Analysis.- Bibliography.-Appendices.- Index.

Fields of interest

Algorithm Analysis and Problem Complexity; Algo-rithms; Numerical Analysis; Computational Math-ematics and Numerical Analysis; Mathematics ofComputing

Target groups

Advanced undergraduate and graduate students inComputer Science and Applied Mathematics

Type of publication


Due November 2007

Hardcover edition originally published as volume 1 in the series:

Progress in Computer Science and Applied Logic (PCS)

2008. X, 132 p. (Modern Birkhäuser Classics) Softcover

34,90 €

ISBN 978-0-8176-4728-5

R.E. Greene, UCLA, Los Angeles, CA, USA; K.-T. Kim, Pohang Uni-

versity of Science and Technology, Pohang, South Korea; S.G.

Krantz, Washington University, St. Louis, MO, USA

The Geometry of Complex Domains

This work examines a rich tapestry of themes andconcepts that provides a comprehensive treatmentof an important area of mathematics, while simul-taneously covering a broader area of the geometryof domains in complex space. At once authoritativeand accessible, this text touches upon many impor-tant parts of modern mathematics: complex geom-etry, Finsler metrics, Bergman and Kahler geom-etry, curvatures, differential invariants, boundaryasymptotics of geometries, group actions, and mod-uli spaces. This text can serve as a "coming ofage" book for a graduate student who has complet-ed at least one semester or more of complex analysis,and will be most welcomed by analysts and geome-ters engaged in current research.

Contents

I. Geometric Background * Complex analysis prelim-inaries: Riemann Surfaces * Normal families results:B. Cartan's Theorem (on point fixed, identity differ-ential implies identity) * The problem of equivalencein one and several complex variables (Generalities) *The Riemann mapping theorem and the unformiza-tion theorem * Why these theorems fail in higher di-mensions (e.g., why domains near the ball are typ-ically not the ball in the circular domain case as anexample) * Moduli spaces for one-dimensional do-mains of finite connectivity with comments on whythe situation is different in [..]

Fields of interest

Several Complex Variables and Analytic Spaces;Analysis; Dynamical Systems and Ergodic Theory;Geometry

Target groups

Analysts, geometers, grad students

Type of publication

Monograph

Due July 2009

2009. Approx. 400 pp., 20 illus. (Birkhäuser Advanced Texts /

Basler Lehrbücher) Hardcover

68,00 €

ISBN 978-0-8176-4139-9


G.-M. Greuel, University of Kaiserslautern, Germany; G. Pfister,

University of Kaiserslautern, Germany

A Singular Introduction to

Commutative Algebra

From the reviews of the first edition: "It is certainlyno exaggeration to say that … A Singular Introduc-tion to Commutative Algebra aims to lead a furtherstage in the computational revolution in commuta-tive algebra … . Among the great strengths and mostdistinctive features … is a new, completely unifiedtreatment of the global and local theories. … makingit one of the most flexible and most efficient systemsof its type....another strength of Greuel and Pfister'sbook is its breadth of coverage of theoretical topicsin the portions of commutative algebra closest to al-gebraic geometry, with algorithmic treatments of al-most every topic....Greuel and Pfister have written adistinctive and highly useful book that should be inthe library of every commutative algebraist and alge-braic geometer, expert and novice alike." J.B. Little,MAA, March 2004 The second edition is substantial-ly enlarged by a chapter on Groebner bases in non-commtative rings, a chapter on characteristic and tri-angular sets [..]

Features

Highly popular, hands-on book on symbolic compu-tation Only handbook/tutorial extensively dealingwith SINGULAR Top quality book for a top qualitysoftware

Contents

1 Rings, Ideals and Standard Bases.- 2. Modules.- 3.Noether Normalization and Applications.- 4. Prima-ry Decomposition and Related Topics.- 5. HilbertFunction and Dimension.- 6. Complete Local Rings.-7. Homological Algebra.- Appendix A. GeometricBackground.- B. Polynomial Factorization.- C. SIN-GULAR - A Short Introduction.- References.- Glos-sary.- Index.

Fields of interest

Algebra; Algebraic Geometry; Algorithms; Compu-tational Mathematics and Numerical Analysis; Sym-bolic and Algebraic Manipulation

Target groups


Type of publication


Due October 2007

2008. XX, 689 pages, 49 illus. Hardcover

49,95 €

ISBN 978-3-540-73541-0

C. Gros, University of Frankfurt, Germany

Complex and Adaptive Dynamical

Systems

A Primer

We are living in an ever more complex world, anepoch where human actions can accordingly acquirefar-reaching potentialities. Complex and adaptivedynamical systems are ubiquitous in the world sur-rounding us and require us to adapt to new realitiesand the way of dealing with them. This primer hasbeen developed with the aim of conveying a widerange of "commons-sense" knowledge in the fieldof quantitative complex system science at an intro-ductory level, providing an entry point to this bothfascinating and vitally important subject. The ap-proach is modular and phenomenology driven. Ex-amples of emerging phenomena of generic impor-tance treated in this book are: - The smallworld phenomenon in social and scale-free net-works; - Phase transitions and self-organizedcriticality in adaptive systems; - Life at theedge of chaos and coevolutionary avalanches result-ing from the unfolding of all living; - The con-cept of living dynamical systems and emotional dif-fusive control within [..]

Features

First modular primer of its kind

Contents

About this book.- Graph Theory and Small-WorldNetworks.- Chaos, Bifurcations and Diffusion.- Ran-dom Boolean Networks.- Cellular Automata andSelf-Organized Criticality.- Statistical Modeling ofDarwinian Evolution.- Synchronization Phenom-ena.- Elements of Cognitive System Theory.- Solu-tions.- Index.

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Applications of Mathematics; Bio-physics; Statistical Physics; Information Systems andCommunication Service

Target groups

Beginning graduate students with a first degree inphysics, mathematics or theoretical computer sci-ences

Type of publication


Due November 2007


49,95 €

ISBN 978-3-540-71873-4

G. Grätzer, University of Manitoba, Winnipeg, MB, Canada

More Math Into LaTeX

"Gratzer’s book is a solution." -European Mathe-matical Society Newsletter For close to twodecades, Math into Latex has been the standard in-troduction and complete reference for writing arti-cles and books containing mathematical formulas.In this fourth edition, the reader is provided withimportant updates on articles and books. An impor-tant new topic is discussed: transparencies (comput-er projections). Key features of More Math into La-tex, 4th edition: - Installation instructions for PC andMac users - An example-based, visual approach anda gentle introduction with the Short Course - A de-tailed exposition of multiline math formulaswith a Visual Guide - A unified approach to Tex, La-tex, and the AMS enhancements - A quick introduc-tion to creating presentations with computer projec-tions From earlier reviews of Math into Latex: "Thereare several Latex guides, but this one wins handsdown for the elegance of its approach and breadth ofcoverage." -Amazon.com Best of 2000, Editor’s [..]

Features

- Installation instructions for PC and Mac users -An example-based, visual approach and a gentleintroduction with the Short Course - A detailedexposition of multiline math formulas with aVisual Guide - A unified approach to Tex, Latex, andthe AMS enhancements - A quick introduction tocreating presentations with computer projections

Contents

Preface.- Introduction.- Setting Up.- Part I. Typingyour first article.- Part II. Text and math.- Typingtext.- Text environments.- Typing math.- Multilinemath displays.- Part III. Document structure.- La-TeX documents.- Standard LaTeX document class-es.- AMS documents.- Part IV. Presentations andpdf files.- Simple presentations.- Presentations onsteroids.- Hyperlinks and pdf files.- Part V. Cus-tomization.- Customizing LaTeX.- Part VI. LongDocuments.- BibTeX.- MakeIndex.- amsrefs.- Booksin LaTeX.- Appendix A. Math symbol tables.- Ap-pendix B. Text symbol tables.- Appendix C. [..]

Fields of interest

Document Preparation and Text Processing; Math-ematical Software; Math Applications in ComputerScience; Programming Languages, Compilers, Inter-preters; Media Design; Computer Applications

Target groups

Undergraduates, graduate students, typesetters, re-searchers in STM fields

Type of publication

Manual

Due October 2007

Originally published by Birkhauser Boston


39,95 €

ISBN 978-0-387-32289-6


O. Guler, University of Maryland, Baltimore, MD, USA

Foundations of Optimization in

Finite Dimensions

This book is intended as a textbook to be usedin a first graduate level course, and covers thefundamental principals of optimization in finitedimensions. It develops the necessary back-ground material in multivariable calculus using co-ordinates as well as in a coordinate-free manner, sothat the recent developments such as semidefiniteprogramming can be dealt with ease. All thestandard topics of mathematical programming, suchas necessary and sufficient optimality conditionsfor optimality, convex analysis and duality, are cov-ered in great detail, often from multiple points ofview. A distinctive feature of this book is itsset of worked-out examples and problems, includinghundreds of well-chosen problems and importantexamples.

Features

Covers the fundamental principles of optimizationin finite dimensions Develops the necessary back-ground material in multivariable calculus using co-ordinates as well as in a coordinate–free manner, sothat the recent developments such as semidefiniteprogramming can be dealt with ease All the standardtopics of mathematical programming, such as neces-sary and sufficient optimality conditions for optimal-ity, [..]

Contents

Calculus in Vector Spaces.- Unconstrained Opti-mization.- Convex Analysis.- Theory of ConvexPolyhedra.- Some Basic Optimization Algorithms.-Theory of Lagrange Multipliers.- Semi-infinite Pro-gramming.- Duality Theory and Convex Program-ming.- References.- Index.

Fields of interest

Optimization; Calculus of Variations and OptimalControl; Optimization; Operations Research, Mathe-matical Programming; Applications of Mathematics

Target groups

Graduate Students and Researchers in optimization,operations research

Type of publication


Due May 2008


46,95 €

ISBN 978-0-387-34431-7

B. Gustafsson, Uppsala University, Uppsala, Sweden

High Order Difference Methods for

Time Dependent PDE

The subject of this book is high order finite differ-ence methods for time dependent PDE. The ideais to give an overview of the basic theory and con-struction principles by using model examples. Thebook also contains a general presentation of the tech-niques and results for well-posedness and stability,with inclusion of the three fundamental methods ofanalysis both for PDE in its original and discretizedform: the Fourier transform, the eneregy methodand the Laplace transform. Various types of wavepropagation problems are treated in specific detailsince high order methods are particularly effectivefor these problems.

Fields of interest

Computational Mathematics and Numerical Analy-sis; Partial Differential Equations

Target groups


Type of publication

Monograph

Due December 2007

2008. Approx. 350 p. (Springer Series in Computational Mathe-

matics, Vol. 38) Hardcover

79,95 €

ISBN 978-3-540-74992-9

A. Gyoja, Nagoya University, Nagoya, Japan; H. Nakajima, Kyoto

University, Kyoto, Japan; K.-i. Shinoda, Sophia University, Tokyo,

Japan; T. Shoji, Nagoya University, Nagoya, Japan; T. Tanisaki,

Osaka City University, Osaka, Japan (Eds.)

Representation Theory of Algebraic

Groups and Quantum Groups

This volume contains invited articles by top notchexperts who focus on such topics as modular rep-resentations of algebraic groups, representations ofquantum groups and crystal bases, representationsof affine Lie algebras, representations of affine Heckealgebras, modular or ordinary representations of fi-nite reductive groups, and representations of com-plex reflection groups and associated Hecke algebras.

Features

Invited articles by top notch experts Focus ison topics in representation theory of algebraicgroups and quantum groups Of interest to graduatestudents and researchers in representation theory,group theory, algebraic geometry, quantum theoryand math physics

Contents

Preface.- H.H. Andersen.- T. Arakawa.- S. Ariki.-J. Du.- M. Geck.- V. Ginzburg.- J.C. Jantzen.- S.-J. Kang.- M. Kashiwara.- S. Kato.- G.I. Lehrer.- G.Lusztig.- I. Mirkovic.- H. Miyachi.- H. Nakajima.- T.Nakashima.- R. Rouquier.- D. Sagaki.- Y. Saito.- O.Schiffmann.- T. Suzuki.- T. Tanisaki.- J. Xiao.

Fields of interest

Group Theory and Generalizations; Algebraic Ge-ometry; Topological Groups, Lie Groups; Non-asso-ciative Rings and Algebras; Number Theory; Mathe-matical Methods in Physics

Target groups

Graduate students, researchers, mathematicians, rep-resentation theorists, group theorists, quantum theo-rists, algebraic geometers, math physicists

Type of publication

Contributed volume

Due April 2009


520) Hardcover

ISBN 978-0-8176-4696-7


K. Gürlebeck, Bauhaus University Weimar, Germany; K. Habetha,

RWTH Aachen, Germany; W. Sprößig, TU Freiberg, Germany

Holomorphic Functions in the Plane

and n-dimensional Space

Complex analysis nowadays has higher-dimension-al analoga: the algebra of complex numbers is re-placed then by the non-commutative algebra of re-al quaternions or by Clifford algebras. During thelast 30 years the so-called quaternionic and Cliffordor hypercomplex analysis successfully developed toa powerful theory with many applications in analy-sis, engineering and mathematical physics. This text-book introduces both to classical and higher-dimen-sional results based on a uniform notion of holomor-phy. Historical remarks, lots of examples, figuresand exercises accompany each chapter. The enclosedCD-ROM contains an extensive literature databaseand a Maple package with comments and proceduresof tools and methods explained in the book.

Features

First textbook on elementary level introducing toclassical complex analysis and its generalizations atthe same time Accopanying CD-ROM contains alarge bibliography database and numerical applica-tions

Contents

Introduction.- I. Numbers.- Complex Numbers -Quaternions - Clifford numbers.- II. Functions.-Topological Aspects - Holomorphic Functions -Power Functions and Möbius Transformations.-III. Integration und Integral Theorems - IntegralTheorems and -formulas - Teodorescu Transforma-tion.- IV. Series and Local Properties - Power Series-Orthogonal Series - Elementary Functions.- LocalStructure of Holomorphic Functions - Special Func-tions.- Appendices.- Bibliography.- Index.

Fields of interest

Functions of a Complex Variable; Integral Trans-forms, Operational Calculus; Potential Theory; Anal-ysis

Target groups

Advanced undergraduate and graduate students inMathematics; instructors, researchers

Type of publication


Due November 2007

Original German edition published by Birkhäuser, Basel, 2006

2008. Approx. 408 p. With CD-ROM. Softcover

34,90 €

ISBN 978-3-7643-8271-1

P. Hajek, Institute of Computer Science, Prague, Czech Republic;

V. Montesinos Santalucia, Universidad Politecnica de Valencia,

Valencia, Spain; J. Vanderwerff, La Sierra University, Riverside, CA,

USA; V. Zizler, University of Alberta, Edmonton, AB, Canada

Biorthogonal Systems in Banach

Spaces

One of the fundamental questions of Banach spacetheory is whether every Banach space has a basis. Aspace with a basis gives us a sense of familiarity andconcreteness, and perhaps a chance to attempt theclassification of all Banach spaces and other prob-lems. The main goals of this book are to: -introducethe reader to some of the basic concepts, results andapplications of biorthogonal systems in infinite di-mensional geometry of Banach spaces, and in topol-ogy and nonlinear analysis in Banach spaces, -aimthe text at graduate students and researchers whohave a foundation in Banach space theory, - exposethe reader to some current avenues of research inbiorthogonal systems in Banach spaces, -providenotes and exercises related to the topic, suggest openproblems and possible new directions of research.Numerous exercises are included, and the only pre-requisites are a basic background in functional anal-ysis.

Features

Notes and exercises related to the topic Presentsopen problems and possible directions of research ineach chapter

Contents

Biorthogonal Systems in Separable Spaces.- Univer-sality and Szlenk Index.- Biorthogonal systems innonseparable spaces.- Weakly Lindelof deteminedspaces.- Weakly compactly generated spaces.- Ge-ometry of spaces with fundamental biorthogonal sys-tems.

Fields of interest

Functional Analysis

Target groups


Type of publication

Monograph

Due December 2007

2007. Approx. 315 p. (CMS Books in Mathematics) Hardcover

69,95 €

ISBN 978-0-387-68914-2

H. Haken, University of Stuttgart, Germany

Brain Dynamics

An Introduction to Models and Simulations

Brain Dynamics is an introduction for graduate stu-dents and nonspecialists from various backgroundsto the field of mathematical and computational neu-rosciences. The approach in this book is throughpulsed-coupled neural networks, with at their corethe lighthouse and integrate-and-fire models, whichallow for the highly flexible modelling of realisticsynaptic activity, synchronization and spatio-tem-poral pattern formation. As a more advanced top-ic, pulse-averaged equations and their applicationto movement coordination are discussed. The bookcloses with a short analysis of models versus the re-al neurophysiological system. The second editionhas been thoroughly updated and augmented by anextensive chapter that discusses the interplay be-tween pattern recognition and synchronization. Fur-ther, to enhance the usefulness as textbook and forself-study, the detailed solutions of all XX exercisesthroughout the text have been added.

Contents

From the contents Basic Experimental Facts andTheoretical Tools.- Introduction.- The Neu-ron-Building Block of the Brain.- Neuronal Coop-erativity.- Spikes, Phases, Noise: How to Describethem Mathematically? We Learn a Few Tricks andSome Important Concepts.- Spiking in Neural Nets.-The Lighthouse Model. Two Coupled Neurons.- TheLighthouse Model. Many Coupled Neurons.- Inte-grate and Fire Models (IFM).- Many Neurons, Gen-eral Case, Connection with Integrate and Fire Mod-el.- Phase Locking, Coordination and Spatio-Tem-poral Patterns.- Phase Locking via Sinusoidal Cou-plings.- Pulse-Averaged [..]

Fields of interest

Biophysics; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Applications of Mathe-matics; Neurosciences; Artificial Intelligence (incl.Robotics)

Target groups


Type of publication

Monograph

Due January 2008

2008. Approx. 320 p. (Springer Series in Synergetics) Hardcover

79,95 €

ISBN 978-3-540-75236-3


M. Harders, ETH Zurich, Switzerland

Surgical Scene Generation for

Virtual Reality-Based Training in

Medecine

Recent years have brought about a drastic changein patient awareness and acceptance of adverse ef-fects in medical care. The combination of this pro-cess with an increasing focus on patient safety hasput traditional educational paradigms in the medicalarea to the test. The potential of training approachesusing virtual reality techniques has been recognizedfor sometime and a key element of VR-based train-ing is the ability to generate various scenarios. There-fore, the book examines in detail the main compo-nents required to define a scenario, in the context ofsurgical scene generation: •Generation of the scenegeometry •Modelling of organ appearance •Defini-tion of biomechanical parameters The book is theideal reference for any reader involved in generatingtraining scenarios, as well as in VR-based training ingeneral.

Features

Provides an extensive overview of related work in thethree different directions of scene generation and in-troduces specific solutions in detail.

Contents

Introduction.- Surgical Education.- Geometry.- Rele-vance to Surgical Education.- Process Elements.- Da-ta Acquisition.- Uterine Image Acquisition.- HealthyAnatomy Generation.- Shape Prediction.- Pathol-ogy Integration.- Skeleton-based Design.- CellularAutomata Growth Model.- Particle System GrowthModel.- Volumetric Representation.- Appearance.-Texturing in Computer Graphics.- Relevance to Sur-gical Education.- Data Acquisition and Enhance-ment.- In-vivo Image Acquisition.- Image Enhance-ment.- Base Texture Generation.- Texture Genera-tion for Laparoscopic Simulation.- Texture Genera-tion [..]

Fields of interest

Simulation and Modeling; Computer Graphics

Target groups

Researchers-Game Developers-Digital ModelBuilders

Type of publication

Monograph

Due April 2008

2008. 80 illus. in color. Hardcover

69,95 €

ISBN 978-1-84800-106-0

D. Helbing, ETH Zürich, Switzerland (Ed.)

Managing Complexity: Insights,

Concepts, Applications

Each chapter in Managing Complexity focuses onanalyzing real-world complex systems and transfer-ring knowledge from the complex-systems sciencesto applications in business, industry and society. Theinterdisciplinary contributions range from marketsand production through logistics, traffic control, andcritical infrastructures, up to network design, infor-mation systems, social conflicts and building consen-sus. They serve to raise readers' awareness concern-ing the often counter-intuitive behavior of complexsystems and to help them integrate insights gained incomplexity research into everyday planning, decisionmaking, strategic optimization, and policy. Intendedfor a broad readership, the contributions have beenkept largely non-technical and address a general, sci-entifically literate audience involved in corporate,academic, and public institutions.

Features

Unusual and well-edited collection of largely non-technical lectures and essays by authors from the in-dustry, academia and the public sector

Contents

Editorial.- Managing Complexity: An Introduction.-Market Segmentation - The Network Approach.-Managing Autonomy and Control in Economic Sys-tems.- Complexity and the Enterprise: The Illusionof Control.- Benefits and Drawbacks of Simple Mod-els for Complex Production Systems.- Logistics Net-works - Coping With Nonlinearity and Complexity.-Repeated Auction Games and Learning Dynamicsin Electronic Logistics Marketplaces.- DecentralizedApproaches to Adaptive Traffic Control.- Critical In-frastructures Vulnerability: The Highway Networks.-Trade Credit Networks and Systemic Risk.- A [..]

Fields of interest

Operation Research/Decision Theory; Nonlinear Dy-namics, Complex Systems, Chaos, Neural Networks;Technology Management; Systems and InformationTheory in Engineering; Information Systems; Sys-tems Theory, Control

Target groups

Anyone working in the field of complex system sci-ence

Type of publication

Monograph

Due November 2007

2008. IX, 393 pages with 145 illus (Understanding Complex Sys-

tems) Hardcover

79,95 €

ISBN 978-3-540-75260-8

J. Helmstetter, Université de Grenoble, France; A. Micali, Univer-

sité de Montpellier II, France

Quadratic Mappings and Clifford

Algebras

After general properties of quadratic mappings overrings, the authors more intensely study quadraticforms, and especially their Clifford algebras. To thispurpose they review the required part of commuta-tive algebra, and they present a significant part of thetheory of graded Azumaya algebras. Interior multi-plications and deformations of Clifford algebras aretreated with the most efficient methods. The connec-tion between orthogonal transformations and Clif-ford algebras is established in a new way, by meansof Lipschitz monoids. Lipschitz monoids also allow amore efficient study of hyperbolic spaces.

Features

The study of Clifford algebras leads to sophisticatedtheories involving noncommutative algebras over aring, e.g., Azumaya algebras, Morita theory, separa-bility Provides a self-contained introduction to com-mutative algebra Prerequisites are only elementaryalgebra and linear and multilinear algebra over fields(and a bit over rings)

Contents

Introduction.- 1. Algebraic Preliminaries.- 2.Quadratic Mappings.- 3. Clifford Algebras.- 4. Co-multiplications. Exponentials. Deformations.- 5. Or-thogonal Groups and Lipschitz Groups.- 6. FurtherAlgebraic Developments.- 7. Hyperbolic Spaces.- 8.Other Topics.- Bibliography.- Index.

Fields of interest

Algebra

Target groups

Graduates, postgraduates and researchers in algebra

Type of publication

Monograph

Due March 2008


79,90 €

ISBN 978-3-7643-8605-4


J.S. Hesthaven, Brown University, Providence, RI, USA; T. Warbur-

ton, Rice University, Houston, TX, USA

Nodal Discontinuous Galerkin

Methods

Algorithms, Analysis, and Applications

The text offers an introduction to the key ideas, ba-sic analysis, and efficient implementation of discon-tinuous Galerkin finite element methods (DG-FEM)for the solution of partial differential equations. Allkey theoretical results are either derived or discussed,including an overview of relevant results from ap-proximation theory, convergence theory for numeri-cal PDE’s, orthogonal polynomials etc. Through em-bedded Matlab codes, the algorithms are discussedand implemented for a number of classic systems ofPDE’s, e.g., Maxwell’s equations, Euler equations, in-compressible Navier-Stokes equations, and Poisson-and Helmholtz equations. These developments aredone in detail in one and two dimensions ongeneral unstructured grids with high-order elementsand all essential routines for 3D extensions are alsoincluded and discussed briefly. The three appendicescontain an overview of orthogonal polynomials andassociated library routines used throughout, a briefintroduction to grid generation, and [..]

Features

First text on DG-FEM, suitable both as a textbookand for self sudy Attention to both basic analysis andalgorithmic issues Easily modified MATLAB libraryroutines Enables 1D-3D solution of PDEs in generalgeometries Exercises at the end of each chapter

Contents

Introduction.- The Key Ideas.- Making It Work inOne Dimension.- Insight Through Theory.- Non-linear Problems.- Beyond One Dimension.- High-er-Order Operators.- Towards More Advanced Top-ics.- Briefly on Three-Dimensional Extensions.-Appendix A: Jacobi Polynomials and Beyond.- Ap-pendix B: Briefly on Grid Generation.- Appendix C:Software and Variables.- References.

Fields of interest

Numerical Analysis; Numerical and ComputationalMethods in Engineering; Mathematical Methods inPhysics; Partial Differential Equations

Target groups

Beginning graduate students and researchers

Type of publication


Due December 2007


Hardcover

46,95 €

ISBN 978-0-387-72065-4


S. Hiermaier, Fraunhofer institute For High Speed Dynamics,

Freiburg, Germany

Structures Under Crash and Impact

Continuum Mechanics, Discretization and Experimental Char-

acterization

Structures Under Crash and Impact: ContinuumMechanics, Discretization and Experimental Charac-terization examines the testing and modeling of ma-terials and structures under dynamic loading condi-tions. Readers will find an in-depth analysis of thecurrent mathematical modeling and simulation toolsavailable for a variety of materials, in addition toboth the benefits and limitations they pose in indus-trial design. The models discussed are also availablein commercial codes such as LS-DYNA and AUTO-DYN. Following a logical and well organized struc-ture, this volume uniquely combines experimentalprocedures with numerical simulation and featuresexamples from issues taken directly from the auto-motive, aerospace, and defense industries. Materialsscientists, structural and design engineers, and physi-cists with an interest in crash and impact situationswill find Structures Under Crash and Impact a valu-able reference.

Features

Cross references to implemented models in commer-cial codes will offer useful links to the applicationside. Specifically the examples given within the LS-DYNA and DYNA-3D are of great value to designengineers in industry and the academic scientist Dis-cusses a combination of experiments and numericalsimulation applied to new materials Examples pro-vided based on actual projects and problems in auto-motive, [..]

Contents

Introduction.- Thermal-Mechanical Basics.- Consti-tutive Equations.- Shock Waves and Related Equa-tions of State.- Hydrocodes.- Failure Models for Dy-namic Loading Conditions.- Aspects of AdvancedDynamic Material Testing.

Fields of interest

Continuum Mechanics and Mechanics of Materi-als; Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Characterization and EvaluationMaterials; Automotive and Aerospace Engineering;Numerical and Computational Methods in Engi-neering; Mechanics

Target groups

Material scientists, structural and design engineers,physicists studying dynamic loading of structures,crash and impact situations

Type of publication

Monograph

Due December 2007

2008. Approx.432 p. Hardcover

99,95 €

ISBN 978-0-387-73862-8

P.M. Higgins, University of Essex, UK

Number Story

From Counting to Cryptography

Number Story is an entertaining introduction tothe development of numbers and their applications.Written in the same user-friendly style that charac-terises the author’s previous books, the book blendseasy material with more challenging ideas about in-finity and complex numbers and is full of interest-ing examples ranging from recreational puzzles tovery real world scenarios. There are historical notes,which give the mathematics context, and short di-gressions, while a final chapter, For Connoisseurs,provides the mathematical detail for those whowould like to know more about the questions andtechniques highlighted. Number Story will appealto anyone who is curious about the mathematics be-hind real-life questions. It will inspire and motivatethose thinking of studying mathematics at university,and will provide invaluable material for teachers andlecturers.

Features

By the author of Mathematics for the Curious andMathematics for the Imagination and compiler ofthe Sunday Telegraph’s Target Sudoku Explains themathematics behind popular topics such as chanceand probability and codes and cryptography, illus-trated by recreational puzzles and real-world scenar-ios Ideal background reading for those interested instudying mathematics at university

Contents

Preface.-The First Numbers.- Discovering Num-bers.- Some Number Tricks.- Some Tricky Num-bers.- Some Useful Numbers.- One the Trail ofNew Numbers.-Glimpses of Infinity;.-Applicationsof Number Chance.- The Complex History of theImaginary.- From Imaginary to Complex.- TheNumber Line Under the Miscroscope.- Applicationsof Number: Codes and Public Key Cryptography.-For Connoisseurs.-Index

Fields of interest

Popular Science in Mathematics/Natural Sci-ence/Technology; Mathematics, general; NumberTheory

Target groups

School-leavers and undergraduates in mathematics;Maths teachers and lecturers; General readers withan interest in Mathematics/Popular science;

Type of publication

Popular science

Due January 2008


19,95 €

ISBN 978-1-84800-000-1

W. Hochstättler, University of Cologne, Germany; A. Schliep

Combinatorial Algorithm Toolbox

An Interactive Course on Discrete Mathematics

Contents

1. Discrete Problems from Applications 2. Basics,Notation and Data Structures 3. Minimum Span-ning Trees 4. Linear Programming Duality 5. Short-est Paths 6. Maximal Flows 7. Minimum- costFlows 8. Matching 9.Weighted Matching A.Using Gato Gred B. Learning to Read Python in FiveMinutes C. Visualizing Graph Algorithms with GatoReferences Index

Fields of interest

Combinatorics

Type of publication

Application software

Due June 2008

2008. CD-ROM with handbook, 250 pp.

41,18 €

ISBN 978-3-540-14887-6


R.J. Hosking, University Brunei Darussalam, Gadong, Brunei; E.

Venturino, Università di Torino, Italia (Eds.)

Aspects of Mathematical Modelling

Applications in Science, Medicine, Economics and Manage-

ment

The construction of mathematical models is an es-sential scientific activity. Mathematics has long beenassociated with developments in the exact sciencesand engineering, but more recently mathematicalmodelling has been used to investigate complex sys-tems that arise in many other fields. The contrib-utors to this book demonstrate the application ofmathematics to modern research topics in ecologyand environmental science, health and medicine,phylogenetics and neural networks, theoreticalchemistry, economics and management.

Features

provides examples of modern modelling applicationsunusual collection of contributions from less tradi-tional fields

Contents

From the contents Mathematical Models of Pat-tern Formation in Planktonic Predation-DiffusionSystems: A Review.- Toward a General Theory ofEcosystem Stability: Plankton-Nutrient Interactionas a Paradigm.- Nutrient, Non-Toxic Phytoplank-ton, Toxic Phytoplankton and Zooplankton Interac-tion in an Open Marine System.- Stability and Opti-mal Harvesting in a Stage Structure Predator-PreySwitching Strategy.- Reducing the Emission of Pol-lutants in Industrial Wastewater through the Use ofMembrane Bioreactors.- Insecticidal Bt Crops underMassive Bt-resistant Pest Invasion: Mathematical [..]

Fields of interest

Mathematical Biology in General

Target groups

Researchers and postgraduate students interested inbiomathematics

Type of publication

Monograph

Due December 2007

2008. Approx. 325 p. (Mathematics and Biosciences in Interac-

tion) Hardcover

129,00 €

ISBN 978-3-7643-8590-3

R. Hotta, Okayama University of Science, Okayama, Japan; K.

Takeuchi, University of Tsukuba, Japan; T. Tanisaki, Osaka City

University, Osaka, Japan

D-Modules, Perverse Sheaves, and

Representation Theory

D-modules continues to be an active area of stimu-lating research in such mathematical areas as algebra,analysis, differential equations, and representationtheory. Key to D-modules, Perverse Sheaves, andRepresentation Theory is the authors' essential al-gebraic-analytic approach to the theory, which con-nects D-modules to representation theory and oth-er areas of mathematics. Significant concepts andtopics that have emerged over the last few decadesare presented, including a treatment of the theo-ry of holonomic D-modules, perverse sheaves, theall-important Riemann-Hilbert correspondence,Hodge modules, and the solution to the Kazh-dan-Lusztig conjecture using D-module theo-ry. To further aid the reader, and to make the workas self-contained as possible, appendices are provid-ed as background for the theory of derived categoriesand algebraic varieties. The book is intended to servegraduate students in a classroom setting and as self-study for researchers in algebraic geometry, and [..]

Features

D-modules a stimulating and active area of researchThe unique text treating an algebraic-analytic ap-proach to D-module theory Examines D-moduletheory, connecting algebraic geometry and repre-sentation theory Clusters with many Springer bookswritten by the authors, Kashiwara, Schapira and oth-ers Uses D-module theory to prove the celebratedKazhdan-Lusztig polynomials Detailed examinationwith excellent proof [..]

Contents

Preface.- Introduction.- Part I: D-modules and per-verse sheaves.- Preliminary notions.- Coherent D-modules.- Holonomic D-modules.- Analytic D-mod-ules and the de Rham functor.- Theory of mero-morphic connections.- Regular holonomic D-mod-ules.- Riemann-Hilbert correspondence.- Perversesheaves.- Part II: Representation theory.- Algebra-ic groups and Lie algebras.- Conjugacy classes ofsemisimple Lie algebras.- Representations of Lie al-gebras and D-modules.- Character formula of high-est weight modules.- Hecke algebras and Hodgemodules.- A: Algebraic varieties.- B: Derived cate-gories and [..]

Fields of interest

Algebra; Group Theory and Generalizations; Topo-logical Groups, Lie Groups; Commutative Rings andAlgebras; Algebraic Geometry

Target groups

Graduate students and researchers in Algebra andRepresentation Theory

Type of publication


Due November 2007

2008. XII, 412 p. 66 illus. (Progress in Mathematics, Vol. 236)

Hardcover

78,00 €

ISBN 978-0-8176-4363-8

Q. Hu, Fudan University, Shang Hai, China; W. Yue, Konan Univer-

sity, Kobe, Japan

Markov Decision Processes with

Their Applications

Markov decision processes (MDPs), also calledstochastic dynamic programming, were first stud-ied in the 1960s. MDPs can be used to model andsolve dynamic decision-making problems thatare multi-period and occur in stochastic circum-stances. There are three basic branches in MDPs: dis-crete-time MDPs, continuous-time MDPs and se-mi-Markov decision processes. Starting from thesethree branches, many generalized MDPs modelshave been applied to various practical problems.These models include partially observable MDPs,adaptive MDPs, MDPs in stochastic environments,and MDPs with multiple objectives, constraints orimprecise parameters. Markov Decision ProcessesWith Their Applications examines MDPs and theirapplications in the optimal control of discrete eventsystems (DESs), optimal replacement, and optimalallocations in sequential online auctions. The bookpresents four main topics that are used to study opti-mal control problems: a new methodology for MDPswith discounted total reward criterion; [..]

Features

Presents new branches for Markov Decision Process-es (MDP) Applies new methodology for MDPs withdiscounted total reward criterion Offers new appli-cations of MDPs in areas such as the control of dis-crete event systems and the optimal allocations insequential online auctions Shows the validity of theoptimality equation and its properties from the def-inition of the model by reducing the scale of MDPmodels [..]

Contents

List of Figures.- List of Tables.- Preface.- Acknowl-edgments.- 1. Introduction.- 2. Discrete-TimeMarkov Decision Processes: Total Reward.- 3. Dis-crete-Time Markov Decision Processes: AverageCriterion.- 4. Continuous-Time Markov DecisionProcesses.- 5. Semi-Markov Decision Processes.-6. Markov Decision Processes in Semi-Markov En-vironments.- 7. Optimal Control of Discrete EventSystems: I. 8. Optimal Control of Discrete Event Sys-tems: II.- 9. Optimal Replacement Under StochasticEnvironments.- 10. Optimal Allocation in SequentialOnline Auctions.- Index.

Fields of interest

Operations Research, Mathematical Programming;Probability Theory and Stochastic Processes; Calcu-lus of Variations and Optimal Control; Optimiza-tion; Industrial and Production Engineering

Target groups

Researchers in operations management, operationsresearch, management, finance, and optimal controlof discrete event systems

Type of publication

Monograph

Due November 2007

2008. XVI, 298 p. (Advances in Mechanics and Mathematics, Vol.

14) Hardcover

69,95 €

ISBN 978-0-387-36950-1


B. Hughes, Sherman Oaks, CA, USA

Fibonacci's De Practica Geometrie

Leonardo da Pisa, perhaps better known as Fibonacci(ca. 1170 – ca. 1240), selected the most useful partsof Greco-Arabic geometry for the book known asDe practica geometrie. Beginning with the defini-tions and constructions found early on in Euclid’sElements, Fibonacci instructed his reader how tocompute with Pisan units of measure, find squareand cube roots, determine dimensions of both recti-linear and curved surfaces and solids, work with ta-bles for indirect measurement, and perhaps finallyfire the imagination of builders with analyses of pen-tagons and decagons. His work exceeded what read-ers would expect for the topic. Practical Geometryis the name of the craft for medieval landmeasurers,otherwise known as surveyors in modern times. Fi-bonacci wrote De practica geometrie for these arti-sans, a fitting complement to Liber abbaci. He hadbeen at work on the geometry project for some timewhen a friend encouraged him to complete the task,which he did, going beyond the merely practical, ashe [..]

Features

High quality translation with supplemental text toexplain text that has been more freely translatedContains informative commentary preceding eachchapter of text Presents the resources uponwhich Fibonacci based his work, thereby correctinginaccuracies found in numerous modern historiesOffers numerous examples of medieval computa-tions and logical proof regarding mathematics thatwas important [..]

Contents

Preface.- Background.- Prologue and Introductionof De Practica Geometrie.- Commentary.- Text.-Areas of Rectangular Fields.- Commentary.- Text.-Roots of Numbers.- Commentary.- Text.- Measur-ing Fields.- Commentary.- Text.- Division of Fields.-Commentary.- Text.- Cube Roots.- Commentary.-Text.- Measuring Bodies.- Commentary.- Text.-Measuring Heights.- Commentary.- Text.- Measur-ing Pentagons and Decagons.- Commentary.- Text.-Appendix.- Commentary.- Text.- Bibliography.- In-dex.

Fields of interest

History of Mathematics; Geometry

Target groups

Historians of science and mathematics, medieval his-torians

Type of publication

Monograph

Due December 2007

2008. Approx. 320 p. (Sources and Studies in the History of Math-

ematics and Physical Sciences) Hardcover

99,35 €

ISBN 978-0-387-72930-5

D. Husemöller, MPI für Mathematik, Bonn, Germany; M. Joachim,

Universität Münster, Münster, Germany; B. Jurco, München, Ger-

many; M. Schottenloher, LMU München, München, Germany

Basic Bundle Theory and K-

Cohomology Invariants

Based on several recent courses given to mathemati-cal physics students, this volume is an introductionto bundle theory with the aim to provide newcom-ers to the field with solid foundations in topologi-cal K-theory. A fundamental theme, emphasized inthe book, centers around the gluing of local bundledata related to bundles into a global object. One re-newed motivation for studying this subject, whichhas developed for almost 50 years in many direc-tions, comes from quantum field theory, especiallystring theory, where topological invariants play animportant role.

Contents

Introduction: Physical Background to the K-Theo-ry Classification of D-Branes.-Bundles Over a Spaceand Modules Over an Algebra.- Homotopy Classi-fication of Bundles and Cohomology: ClassifyingSpaces.- Versions of K-Theory and Bott Periodicity.-Algebra Bundles: Twisted K-Theory.- Gerbes and theThree Dimensional Integral Cohomology Classes.

Fields of interest

Category Theory, Homological Algebra; Mathemati-cal Methods in Physics

Target groups


Type of publication

Monograph

Due November 2007

2008. Approx. 330 p. Also available online (Lecture Notes in


69,95 €

ISBN 978-3-540-74955-4

R. Hyndman, Monash University, Clayton, VIC, Australia; A.

Koehler, Miami University, Oxford, OH, USA; K. Ord, Georgetown

University, Washington, DC, USA; R.D. Snyder, Monash Universtiy,

Clayton, VIC, Australia

Forecasting with Exponential

Smoothing

The State Space Approach

Exponential smoothing methods have been aroundsince the 1950s, and are still the most popular fore-casting methods used in business and industry.However, a modelling framework incorporatingstochastic models, likelihood calculation, predictionintervals and procedures for model selection, was notdeveloped until relatively recently. This book bringstogether all of the important new results on the statespace framework for exponential smoothing. It willbe of interest to people wanting to apply the methodsin their own area of interest as well as for researcherswanting to take the ideas in new directions. Part 1provides an introduction to exponential smoothingand the underlying models. The essential details aregiven in Part 2, which also provide links to the mostimportant papers in the literature. More advancedtopics are covered in Part 3, including the mathemat-ical properties of the models, extensions of the mod-els for specific problems, and applications to particu-lar domains.

Features

Provides solid intellectual foundation for exponentialsmoothing methods. Gives overview of current top-ics and develops new ideas that have not appearedin the academic literature. The forecast package forR implements the methods described in the book.Many graphics.

Contents

I. Introduction: Basic concepts.- Getting started. II.Essentials: Linear innovation state space models.-Non-linear and heteroscedastic innovation statespace models.- Estimation of innovation state spacemodels.- Prediction distributions and intervals.-Model selection. III. Further topics: Normalizingseasonal components.- Model properties.- Reducedforms and relationships with ARIMA models.- Lin-ear innovation state space models with random seedstates.- Alternative state space model formulations.-Models with regressor variables.- Multiple seasonali-ty.- Non-linear models for [..]

Fields of interest

Statistics for Business/Economics/Mathematical Fi-nance/Insurance; Game Theory/Mathematical Meth-ods; Statistical Theory and Methods

Target groups

researchers and graduate students

Type of publication

Monograph

Due April 2008


36,95 €

ISBN 978-3-540-71916-8


A. Inselberg, Tel-Aviv University, Israel and Senior Fellow San

Diego Supercomputing Center, Israel

Parallel Coordinates

Visual Multidimensional Geometry and Its Applications

Parallel coordinates is one of the leading method-ologies for multidimensional visualization. Startingfrom geometric foundations, how do multi-dimen-sional lines, planes, curves, surfaces, and other high-er-dimensional objects look in parallel coordinates?This text will explain how n-dimensional lines andplanes can be represented in 2D through parallel co-ordinates. Topics include the visualization of multi-dimensional lines, minimum distances, planes, hy-perplanes, clusters of "near" planes, proximities, mul-tidimensional transformations, curves, surfaces, hy-persurfaces, convexity, and interior-point construc-tion algorithms. The last chapter explains in a non-technical way the technique's application to visualand automatic data mining with principles, guide-lines, strategies and algorithms illustrated in detailon real high-dimensional datasets. Key features: Sys-tematic presentation of topics interlaced with appli-cations to visual and automatic data mining, colli-sion avoidance algorithms for air [..]

Features

Offers readers an authoritative account from the de-veloper of the theory Over 400 illustrations aid in thevisualization of material Interactive CD reinforcesconcepts from the book Details applications to visu-al and automatic data mining, collision avoidance al-gorithms for air traffic control, geometric modelingand computer vision, decision support, informationvisualization Only text to build theory from [..]

Contents

Preface. Introduction.- Geometrical Foundations.-Theory of Envelopes.- The Plane with Parallel Coor-dinates.- Multidimensional Lines.- Planes, Flats, andHyperplanes.- Curves.- Surfaces and Hypersurfaces.-Data Mining.- Bibliography. References.- Index.

Fields of interest

Visualization; Geometry; Statistics and Comput-ing/Statistics Programs; Data Mining and KnowledgeDiscovery; Linear and Multilinear Algebras, MatrixTheory

Target groups

Advanced undergrads/graduates, computer scien-tists, data miners (exploration and classification),mathematicians, statisticians, engineers (processcontrol), economists

Type of publication


Due April 2008

2008. 416 illus. Hardcover

54,95 €

ISBN 978-0-387-21507-5

G. Isac, Royal Military College of Canada, Ontario, Canada; S.Z.

Nemeth, University of Birmingham, Birmingham, United King-

dom

Scalar and Asymptotic Scalar

Derivatives


This book is devoted to the study of scalar andasymptotic scalar derivatives and their applicationsto some problems in nonlinear analysis, Riemanni-an geometry and applied mathematics. The theoret-ical results are developed in particular with respectto the study of complementarity problems, mono-tonicity of nonlinear mappings and the non-gradi-ent type monotonicity on Riemannian manifolds.Scalar and Asymptotic Derivatives: Theory and Ap-plications also presents the material in relation toEuclidean spaces, Hilbert spaces, Banach spaces, Rie-mannian manifolds, and Hadamard manifolds. Thisbook is intended for researchers and graduate stu-dents working in the fields of nonlinear analysis, Rie-mannian geometry and applied mathematics. It fillsa gap in the literature as the first book to appear onthe subject.

Features

Presents the theory and applications of scalar andasymptotic derivatives Systematic, clear and coherentpresentation

Contents

Preface.- Scalar Derivatives in Euclidean Spaces.-Asymptotic Derivatives and Asymptotic ScalarDerivatives.- Scalar Derivatives in Hilbert Spaces.-Scalar Derivatives in Banach Spaces.- MonotoneVector Fields on Riemannian Manifolds and ScalarDerivatives.- Index.- References.

Fields of interest

Functional Analysis; Differential Geometry; Analysis

Target groups


Type of publication

Monograph

Due March 2008

2008. XII, 260 p. 7 illus. (Springer Optimization and Its Applica-


69,30 €

ISBN 978-0-387-73987-8

T. Issariyakul, Vancouver, BC, Canada; E. Hossain, Winnipeg, MB,

Canada

An Introduction to Network

Simulator NS2

The proposed book will be a beginners’ guide fornetwork simulator NS2. NS2 is an open-source dis-crete event simulator designed mainly for network-ing research. NS2 has been widely accepted as a reli-able simulation tool for computer communicationnetworks both in academia and industry. However,surprisingly, there is no book, by which researchersand students can use to learn NS2. From our expe-rience with network simulation during the last fewyears, we have observed that it is not at all easy for abeginner to grasp the basis architecture and conceptsof NS2. For a beginner, developing customized sim-ulation modules is virtually out of question. This isdue to the absence of any comprehensive tutorial onNS2 and the fact that the resources available on NS2(through online) are quite limited. The major objec-tive of this book is to fill in this vacuum. Intended forresearchers in industry working in the area of com-munication networks, the book will be also valuableto senior undergraduate students and [..]

Features

The book provides a guideline on how to setup, use,and extend NS2. This book presents a layered ap-proach to introduce communication networkingprotocols and their simulation using NS2. The bookincludes a large number of examples (e.g., codes)on simulation using NS2. The book contatins sup-plementary material (e.g., simulation exercises) forclasses and laboratories on telecommunications net-working.

Contents

Introduction.-Network Simulator NS2.-C++ andOTcl Linkage.-Implementation of Discrete EventSimulation in NS2.-Base Classes and InheritanceConcept in NS2.-Node Connection and Packet FlowMechanism.-Applications and Transport ControlProtocols.-Related Supporting Classes.-Post Simu-lation Processing.-Slected Extension Samples.-Oth-er NS2 Classes.-Importing MATLAB into NS2.-Re-view of Probability Principles and Random Vari-ables.-Review of Objected Oriented Programming byOTcll.-Various Tips and Troubleshooting.-Tcl/OTclCommand List.-NS2 Command List.-Index.

Fields of interest

Communications Engineering, Networks; Simula-tion and Modeling; Computer Systems Organizationand Communication Networks; Computer Commu-nication Networks; Electronic and Computer Engi-neering; System Performance and Evaluation

Target groups

researchers in the industry working in the area oftelecommunications networking, professors, and se-nior undergraduate and graduate students

Type of publication

Monograph

Due April 2008


100,10 €

ISBN 978-0-387-71759-3


P. Jaillet, Massachusetts Institute of Technology, Boston, MA,

USA; M.R. Wagner, Massachusetts Institute of Technology,

Boston, MA, USA

Online Optimization

The objective of ONLINE OPTIMIZATION is toprovide a systematic survey of the methodology.From the methodological survey, the book then cov-ers a variety of applications of online optimizationmethods in the domain of Operations Research andManagement Science. These applications includea range of problem types, which include the multi-ple scheduling complex transportation systems, op-timizing financial decision problems in "real time",and complex production problems of all sorts (e.g.,whether costs should be reduced or profits shouldbe maximized or scarce resources should be usedwisely, etc.). With online optimization the issue ofincomplete data is an essential aspect of the scientif-ic challenge. Hence, how well online algorithms canperform and how one can guarantee solution quali-ty—even without knowing all data in advance—arethe primary challenges of the online optimizationmethodology.

Features

The scheduling of all sorts of complex transportationsystems and optimizing financial decision problemsin "real time" are the most obvious examples of On-line Optimization ONLINE OPTIMIZATION is thefirst systematic application of the methods to OR/MSThese optimization methods are available to guidequick decisions with limited information Patrick Jail-let is currently Professor and Head of Civil and [..]

Contents

Introduction: Uncertainty in optimization.- OnlineOptimization: An overview.- A-Priori Optimization.-Online Traveling Salesman Problems.- Online Trav-eling Repairman Problems.- Online Searching.- On-line Machine Scheduling.- Value of Information inOnline Optimization.

Fields of interest

Operation Research/Decision Theory; OperationsResearch, Mathematical Programming; Optimiza-tion; Mathematical Modeling and Industrial Math-ematics; Production/Logistics; Engineering Eco-nomics, Organization, Logistics, Marketing

Target groups

Professors, students, and technically competent prac-titioners

Type of publication

Monograph

Due November 2007


& Management Science, Preliminary entry) Hardcover

73,15 €

ISBN 978-0-387-71771-5

V. Jeyakumar, University of New South Wales, Sydney, NSW, Aus-

tralia; D.T. Luc, University of Avignon, France

Nonsmooth Vector Functions and

Continuous Optimization

A recent significant innovation in mathematical sci-ences has been the progressive use of nonsmooth cal-culus, an extension of the differential calculus, as akey tool of modern analysis in many areas of math-ematics, operations research, and engineering. Fo-cusing on the study of nonsmooth vector functions,this book presents a comprehensive account of thecalculus of generalized Jacobian matrices and theirapplications to continuous nonsmooth optimiza-tion problems and variational inequalities in finitedimensions. The treatment is motivated by a desireto expose an elementary approach to nonsmooth cal-culus by using a set of matrices to replace the nonex-istent Jacobian matrix of a continuous vector func-tion. Such a set of matrices forms a new generalizedJacobian, called pseudo-Jacobian. A direct extensionof the classical derivative that follows simple rules ofcalculus, the pseudo-Jacobian provides an axiomaticapproach to nonsmooth calculus, a flexible tool forhandling nonsmooth continuous [..]

Features

Based on major original contributions of the authorsto the research area No other recent monographin nonsmooth analysis is devoted to vector-valuedmaps, a growing area of research

Contents

Preface.- Pseudo-Jacobian Matrices.- Calculus Rulesfor Pseudo-Jacobians.- Openness of ContinuousVector Functions.- Nonsmooth Mathematical Pro-gramming Problems.- Monotone Operators andNonsmooth Variational Inequalities.- Bibliographi-cal Notes.- References.- Notations.- Index.

Fields of interest

Calculus of Variations and Optimal Control; Opti-mization; Operations Research, Mathematical Pro-gramming; Operation Research/Decision Theory;Appl.Mathematics/Computational Methods of En-gineering; Mathematical Modeling and IndustrialMathematics; Applications of Mathematics

Target groups

Graduate students, applied mathematicians, re-searchers in mathematical programming, operationsresearch, and engineering

Type of publication

Monograph

Due November 2007

2008. X, 270 p. (Springer Optimization and Its Applications, Vol.

10) Hardcover

62,95 €

ISBN 978-0-387-73716-4

J. Jonsson, KTH Royal Institute of Technology, Stockholm, Swe-

den

Simplicial Complexes of Graphs

A graph complex is a finite family of graphs closedunder deletion of edges. Graph complexes show upnaturally in many different areas of mathematics, in-cluding commutative algebra, geometry, and knottheory. Identifying each graph with its edge set, onemay view a graph complex as a simplicial complexand hence interpret it as a geometric object. This vol-ume examines topological properties of graph com-plexes, focusing on homotopy type and homology.Many of the proofs are based on Robin Forman's dis-crete version of Morse theory. As a byproduct, thisvolume also provides a loosely defined toolbox forattacking problems in topological combinatorics viadiscrete Morse theory. In terms of simplicity andpower, arguably the most efficient tool is Forman'sdivide and conquer approach via decision trees; it issuccessfully applied to a large number of graph anddigraph complexes.

Contents

Preface.- Part I Introduction and Basic Concepts: 1.Introduction and Overview.- 2. Abstract Graphs andSet Systems.- 3. Simplicial Topology.- Part II Tools:4. Discrete Morse Theory.- 5. Decision Trees.- 6.Miscellaneous Results.- Part III Overview of GraphComplexes: 7. Graph Properties.- 8. Dihedral GraphProperties.- 9. Digraph Properties.- 10. Main Goalsand Proof Techniques.- Part IV Vertex Degree: 11.Matchings.- 12. Graphs of Bounded Degree.- Part VCycles and Crossings: 13. Forests and Matroids.- 14.Bipartite Graphs.- 15. Directed Variants of Forestsand Bipartite Graphs.- 16. [..]

Fields of interest

Combinatorics; Algebraic Topology; Order, Lattices,Ordered Algebraic Structures

Target groups


Type of publication

Monograph

Due November 2007

2008. XIV, 378 p. (Lecture Notes in Mathematics, Vol. 1928) Soft-

cover

49,95 €

ISBN 978-3-540-75858-7


J. Jorgenson, City College of New York, NY, USA; S. Lang

The Heat Kernel and Theta

Inversion on SL2(C)

The purpose of the text is to provide a complete, self-contained development of the trace formula andtheta inversion formula for SL(2,Z[i])\SL(2,C). Un-like other treatments of the theory, the approach tak-en here is to begin with the heat kernel on SL(2,C)associated to the invariant Laplacian, which is de-rived using spherical inversion. The heat kernelon the quotient space SL(2,Z[i])\SL(2,C) is gottenthrough periodization, and further expanded in aneigenfunction expansion. A theta inversion formu-la is obtained by studying the trace of the heat ker-nel. Following the author's previous work, the inver-sion formula then leads to zeta functions through theGauss transform.

Features

Contains new research and results Simplifies the de-velopment of the trace formula and theta inversionby using the heat kernel One of the co-authors, SergeLang, was the most prolific author of the 20th centu-ry

Contents

Introduction.- Spherical Inversion on SL2(C).- TheHeat Gaussian and Kernel.- QED, LEG, Transpose,and Casimir.- Convergence and Divergence of theSelberg Trace.- The Cuspidal and Non-CuspidalTraces.- The Heat Kernel.- The Fundamental Do-main.- Gamma Periodization of the Heat Kernel.-Heat Kernel Convolution.- The Tube Domain.- TheFourier Expansion of Eisenstein Series.- AdjointnessFormula and the Eigenfunction Expansion.- TheEisenstein Y-Asymptotics.- The Cuspidal Trace Y-Asymptotics.- Analytic Evaluations.- Index.- Refer-ences.

Fields of interest

Number Theory; Group Theory and Generalizations;Algebra; Analysis

Target groups

Mathematicians, graduate students

Type of publication

Monograph

Due January 2009


Hardcover

91,65 €

ISBN 978-0-387-38031-5

B. Jüttler, Johannes-Kepler-Universität Linz, Austria; R. Piene, Uni-

versity of Oslo, Norway (Eds.)

Geometric Modeling and Algebraic

Geometry

The two fields of Geometric Modeling and Algebra-ic Geometry, though closely related, are traditional-ly represented by two almost disjoint scientific com-munities. Both fields deal with objects defined by al-gebraic equations, but the objects are studied in dif-ferent ways. This contributed book presents, in 12chapters written by leading experts, recent resultswhich rely on the interaction of both fields. Some ofthese results have been obtained in the frame of theEuropean GAIA II project (IST 2001-35512) entitled“Intersection algorithms for geometry-based IT ap-plications using approximate algebraic methods”.

Features

Book arising from major European project in geo-metric modeling

Contents

From the contents Part I Survey of the Europeanproject GAIA II.- Part II Some special algebraic sur-faces.- Part III Algorithms for geometric computing.

Fields of interest

Mathematical Modeling and Industrial Mathematics;Algebraic Geometry; Computer Graphics; Visualiza-tion; Numerical and Computational Methods in En-gineering

Target groups

Mathematicians, computer scientists, engineers inacademic institutes and industry who work with geo-metric modeling

Type of publication

Contributed volume

Due October 2007

2008. VIII, 231 p. 62 illus. 20 in color Hardcover

79,95 €

ISBN 978-3-540-72184-0

P. Kachroo, Virginia Technical University, Blacksburg, VA, USA;

S.J. Al-nasur, Virginia Technical University, Blacksburg, VA, USA;

S.A. Wadoo, Virginia Technical University, Blacksburg, VA, USA; A.

Shende, Virginia Technical University, Blacksburg, VA, USA

Pedestrian Dynamics

Feedback Control of Crowd Evacuation

Effective evacuation of people from closed spaces isan extremely important topic, since it can save re-al lives in emergency situations that can be broughtabout by natural and human made disasters. Usual-ly there are static maps posted at various places atbuildings that illustrate routes that should be takenduring emergencies. However, when disasters hap-pen, some of these routes might not be valid becauseof structural problems due to the disaster itself andmore importantly because of the distribution of con-gestion of people spread over the area. The averageflow of traffic depends on the traffic density. There-fore, if all the people follow the same route, or fol-low a route without knowing the congestion situa-tion, they can end up being part of the congestionwhich results in very low flow rate or worse a trafficjam. Hence it becomes extremely important to de-sign evacuations that inform people how fast and inwhich direction to move based on real-time informa-tion obtained about the people [..]

Features

First book on pedestrian dynamics and crowd evac-uation Presents a new approach to model the evacu-ation system based on partial differential equationsDesign of feedback control in both PDE and ODEsetting in a single book

Contents

Traffic Flow Theory For 1-D.- Crowd Models for 2-D.- Numerical Methods.- Feedback Linearization(1D Patches).- Intelligent Evacuation Systems.- Dis-cretized Feedback Control.- Discretized OptimalControl.- Distributed Feedback Control 1D.- Dis-tributed Feedback Control 2D.- Robust FeedbackControl.

Fields of interest

Vibration, Dynamical Systems, Control; NonlinearDynamics, Complex Systems, Chaos, Neural Net-works; Control Engineering; Game Theory, Eco-nomics, Social and Behav. Sciences; Thermodynam-ics; Statistical Physics

Target groups

Researchers, engineers, graduate students in appliedcomplexity and nonlinear dynamics, pedestrian dy-namics

Type of publication

Monograph

Due January 2008

2008. Approx. 250 p. (Understanding Complex Systems) Hard-

cover

79,95 €

ISBN 978-3-540-75559-3


B. Kagström, Umea University, Umea, Sweden; E. Elmroth, Umea

University, Umea, Sweden; J. Dongarra, University of Tennessee,

Knoxville, TN, USA; J. Wasniewski, Technical University of Den-

mark, Kongens Lyngby, Denmark (Eds.)

Applied Parallel Computing

State of the Art in Scientific Computing. 8th International

Workshop, PARA 2006, Umea, Sweden, June 18-21, 2006, Re-

vised Selected Papers

This book constitutes the thoroughly refereed post-proceedings of the 8th International Workshop onApplied Parallel Computing, PARA 2006, held inUmeå, Sweden, in June 2006. This volume contains4 keynote lectures and 86 revised papers of 15 in-vited minisymposia arranged on the following top-ics: stretching time and length scales in biomolec-ular modelling, recent advances in dense linear al-gebra, cfd applications for high performance com-puting, hpc environments: visualization and paral-lelization tools, tools, frameworks and applicationsfor high performance computing, grid data manage-ment, simulations in geophysics and space physics,tools for parallel performance analysis, grids for sci-entific computing, simulations of materials, noveldata formats and algorithms for dense linear algebracomputations, bioinformatics and computational bi-ology, scientific visualization and hpc applications,software tools for parallel cfd applications, and mul-ti-scale physics. The 45 revised full papers papers of[..]

Fields of interest

Mathematics of Computing; Software Engineer-ing/Programming and Operating Systems; Algo-rithm Analysis and Problem Complexity; Systemsand Information Theory in Engineering; Computa-tional Mathematics and Numerical Analysis

Target groups


Type of publication

Proceedings

Due October 2007

2007. XXIX, 1192 p. (Lecture Notes in Computer Science, Vol.

4699) Softcover

110,00 €

ISBN 978-3-540-75754-2

E. Kaniuth, Paderborn University, Paderborn, Germany

A Course in Commutative Banach

Algebras

This book provides a thorough and self-containedintroduction to the theory of commutative Banachalgebras, aimed at graduate students with a basicknowledge of functional analysis, topology, complexanalysis, measure theory, and group theory. At thecore of this text are the chapters on Gelfand's theory,regularity and spectral synthesis. Special emphasis isplaced on applications in abstract harmonic analysisand on treating many special classes of commutativeBanach algebras, such as uniform algebras, group al-gebras and Beurling algebras, and tensor products.Detailed proofs and a variety of exercises are given.The book is intended for graduate students takinga course on Banach algebras, with various possiblespecializations, or a Gelfand theory based course inharmonic analysis.

Features

* author has carefully chosen the most importanttopics within Banach algebra theory * incorporatesrecent advances concerning so-called spectral ex-tension properties and the unique uniform normproperty * investigates projective tensor productsunder all aspects of the book * exercises are plentifulthroughout the text * class-tested at the University ofHeidelberg, Technical University of Munich, and [..]

Contents

General Theory of Banach Algebras.- Gelfand The-ory.- Special Topics.- Regularity and Related Prop-erties.- Spectral Synthesis and Ideal Theory.- Ap-pendix.-

Fields of interest

Functional Analysis; Operator Theory

Target groups

Graduate students, advanced undergraduates

Type of publication


Due April 2008

2008. Approx. 330 p. (Graduate Texts in Mathematics, Prelimi-

nary entry 246) Hardcover

53,90 €

ISBN 978-0-387-72475-1

M.Y. Kao (Ed.)

Encyclopedia of Algorithms

The Encyclopedia of Algorithms will provide a com-prehensive set of solutions to important algorithmicproblems for students and researchers interested inquickly locating useful information. The first edi-tion of the reference will focus on high-impact solu-tions from the most recent decade; later editions willwiden the scope of the work. Nearly 500 entries willbe organized alphabetically by problem, with suben-tries allowing for distinct solutions and special casesto be listed by the year. An entry will include: a de-scription of the basic algorithmic problem the inputand output specifications the key results examplesof applications citations to the key literature. Openproblems, links to downloadable code, experimen-tal results, data sets, and illustrations may be provid-ed. All entries will be written by experts with linksto Internet sites that outline their research work willbe provided. The entries will be peer-reviewed. Thisdefining reference will be published in print and on[..]

Features

No similar reference work on Algorithms is current-ly available Comprehensive A-Z coverage of thiscomplex subject area makes this volume easily acces-sible to professionals and researchers in all fields whoare interested in a particular aspect of AlgorithmsTargeted literature references provide additional val-ue for researchers looking to study a topic in moredetail Entries are cross-linked with journal articles

Fields of interest

Mathematics of Computing; Computer Science, gen-eral; Theory of Computation; Applications of Mathe-matics; Math Applications in Computer Science; Nu-merical Analysis

Target groups

Computer scientists working in a wide range of areassuch as Bioinformatics, Cryptography, Data Com-pression, Medical Informatics, Network and Com-munication Protocols, Artificial Intelligence, andPattern Recognition; scholars, students, and pro-fessionals who work in fields such as mathematics,statistics, computational biology, economics, financeand stochastics, medical informatics, data mining,industrial engineering, and decision science

Type of publication

Encyclop(a)edia

Due July 2008

2008. eReference.

309,00 €

ISBN 978-0-387-30162-4


M. Kapranov, Yale University, New Haven, CT, USA; S. Kolyada,

Ukraine and MPI for Mathematics, Bonn, Germany; Y.I. Manin,

MPI for Mathematics, Bonn, Germany and Northwestern Univer-

sity, USA; P. Moree, MPI for Mathematics, Bonn, Germany; L.A.

Potyagailo, Université de Lille I, France (Eds.)

Geometry and Dynamics of Groups

and Spaces

In Memory of Alexander Reznikov

This book presents 18 articles by prominent math-ematicians, dedicated to the memory of AlexanderReznikov (1960-2003), a brilliant highly originalmathematician with broad mathematical interests. Inaddition it contains an influential, so far unpublishedmanuscript of Reznikov of book length. The researcharticles broadly reflect the range of Reznikov's owninterests in geometry, group and number theory,functional analysis, dynamical systems and topolo-gy. In addition, there are surveys "Geometrization ofprobability", "Kleinian groups in higher dimensions","(C,F)-construction of funny rank-one actions for lo-cally compact groups", and some articles centeringon Reznikov as a person.

Features

Contributions by many prominent mathematiciansProvides an extensive survey on Kleinian groups inhigher dimensions Contains an unpublished book"Analytic Topology of Groups, Actions, Strings andVarieties" by Alexander Reznikov

Contents

Preface.- Alexander Reznikov (1960-2003).- Con-tributions by V. Armitage, J.-M. Bismut, D.V.Borisov, P. Bressler, A. Danilenko, T. Delzant, H.Esnault, A. Fel'shtyn, D. Goncalves, A. Goncharov,A. Gorokhovsky, R. Grigorchuk, B. Guilfoyle, P.H.Hai, J.N. Iyer, M. Kapovich, W. Klingenberg, V.Lyubashenko, Y.I. Manin, O. Manzyuk, V.T. Mil-man, P. Moree, M. Morishita, R. Nest, J.-P. Otal, J.R.Parker, A. Reznikov, C.T. Simpson, Y. Soibelman, X.Sun, B. Tsygan, M. Zaidenberg.

Fields of interest

Topological Groups, Lie Groups; Dynamical Systemsand Ergodic Theory; Differential Geometry; Algebra-ic Topology; Geometry

Target groups

Postgraduates and researchers in geometry, grouptheory, topology and analysis

Type of publication

Commemorative publication

Due December 2007

2008. Approx. 800 p. (Progress in Mathematics, Vol. 265) Hard-

cover

79,90 €

ISBN 978-3-7643-8607-8

A. Keller, University of Ulm, Germany; S. Heinrich, University of

Kaiserslautern, Germany; H. Niederreiter, National University of

Singapore (Eds.)

Monte Carlo and Quasi-Monte Carlo

Methods 2006

This book represents the refereed proceedings of theSeventh International Conference on Monte Carloand Quasi-Monte Carlo Methods in Scientific Com-puting, held in Ulm (Germany) in August 2006. Theproceedings include carefully selected papers onmany aspects of Monte Carlo and quasi-Monte Carlomethods and their applications, as well as providinginformation on current research in these very activeareas. Besides covering theory, the book is an excel-lent resource work for practitioners as well.

Fields of interest

Partial Differential Equations; Quantitative Finance;Appl.Mathematics/Computational Methods of En-gineering; Numerical Analysis; Mathematical andComputational Physics

Target groups


Type of publication

Proceedings

Due November 2007


99,95 €

ISBN 978-3-540-74495-5

S. Kichenassamy, Université de Reims Champagne-Ardenne,

Reims, France

Fuchsian Reduction

Applications to Geometry, Cosmology and Mathematical

Physics

Fuchsian reduction is a method for representing so-lutions of nonlinear PDEs near singularities. Thetechnique has multiple applications including solitontheory, Einstein's equations and cosmology, stellarmodels, laser collapse, conformal geometry and com-bustion. Developed in the 1990s for semilinear waveequations, Fuchsian reduction research has grownin response to those problems in pure and appliedmathematics where numerical computations fail.This work unfolds systematically in four parts, inter-weaving theory and applications. The case studiesexamined in Part III illustrate the impact of reduc-tion techniques, and may serve as prototypes for fu-ture new applications. In the same spirit, most chap-ters include a problem section. Background resultsand solutions to selected problems close the volume.This book can be used as a text in graduate coursesin pure or applied analysis, or as a resource for re-searchers working with singularities in geometry andmathematical physics.

Features

The applications worked out in Part III may serve asprototypes for use in new applications Can be usedas a textbook in graduate courses Problems and bib-liographic notes are included

Contents

Fuchsian reduction.- Theory of Fuchsian Partial Dif-ferential Equation.- Applications.- References.- In-dex.

Fields of interest

Partial Differential Equations; Applications of Math-ematics; Differential Geometry; Mathematical Meth-ods in Physics; Extraterrestrial Physics, Space Sci-ences; Relativity and Cosmology

Target groups

Graduate students in Mathematics and Physics, re-searchers interested in Fuchsian Reduction

Type of publication


Due October 2007

2007. XVI, 296 p. (Progress in Nonlinear Differential Equations

and Their Applications, Vol. 71) Hardcover

79,90 €

ISBN 978-0-8176-4352-2


U.B. Kjaerulff, Aalborg University, Aalborg, Denmark; A.L. Mad-

sen, HUGIN Expert A/S, Aalborg, Denmark

Bayesian Networks and Influence

Diagrams: A Guide to Construction

and Analysis

Probabilistic networks, also known as Bayesian net-works and influence diagrams, have become one ofthe most promising technologies in the area of ap-plied artificial intelligence, offering intuitive, effi-cient, and reliable methods for diagnosis, prediction,decision making, classification, troubleshooting, anddata mining under uncertainty. Bayesian Networksand Influence Diagrams: A Guide to Constructionand Analysis provides a comprehensive guide forpractitioners who wish to understand, construct,and analyze intelligent systems for decision supportbased on probabilistic networks. Intended primarilyfor practitioners, this book does not require sophisti-cated mathematical skills or deep understanding ofthe underlying theory and methods nor does it dis-cuss alternative technologies for reasoning under un-certainty. The theory and methods presented are il-lustrated through more than 140 examples, and exer-cises are included for the reader to check his/her lev-el of understanding. The techniques and [..]

Features

Comprehensive introduction to probabilistic net-works Written specifically for practitioners of ap-plied artificial intelligence Complete guide to under-stand, construct, and analyze probabilistic networks

Contents

Introduction.- Networks.- Probabilities.- Probabilis-tic Networks.- Solving Probabilistic Networks.- Elic-iting the Model.- Modeling Techniques.- Data-Driv-en Modeling.- Conflict Analysis.- Sensitivity Analy-sis.- Value of Information Analysis.

Fields of interest

Statistics and Computing/Statistics Programs; Prob-ability and Statistics in Computer Science; Data Min-ing and Knowledge Discovery; Artificial Intelligence(incl. Robotics); Operations Research, Mathemati-cal Programming; Probability Theory and StochasticProcesses

Target groups

Practitioners

Type of publication

Monograph

Due January 2008

2008. Approx. 300 p. (Information Science and Statistics) Hard-

cover

61,60 €

ISBN 978-0-387-74100-0

J.P.C. Kleijnen, Tilburg University, The Netherlands

Design and Analysis of Simulation

Experiments

Simulation is a widely used methodology in all theApplied Science disciplines. It provides a flexible,powerful and intuitive tool for investigating how todesign a process or system, and how to maximize itsefficiency. Simulation's effectiveness depends greatlyon how well the simulation experiments are designedand analyzed. Design and Analysis of SimulationExperiments will focus on this crucial phase in theoverall process of applying simulation. The book willinclude the best of both classic and modern methodsof simulation experimentation, and as a result, it willprovide a state-of-the-art treatment of the topic. Thisbook will be the standard reference book on the topicfor both researchers and sophisticated practitionersin the area, and it will be used as a textbook in cours-es or seminars focusing on this topic.

Features

Jack Kleijnen is considered one of the world’s topauthorities on simulation and its uses in a variety ofproblem-solving domains. Professor Kleijnen hasworked in the fields of operations research, manage-ment science, industrial engineering, mathematicalstatistics, economics, nuclear engineering, comput-er science, and information systems. He has a thor-ough and wide-ranging understanding of problemsin these [..]

Contents

Preface.- Introduction.- Black Box Metamodels.-Low-Order Polynomial Regression.- Metamodelsand Designs: A Single Factor.- Low-Order Polyno-mial Models and Designs: Multiple Factors.- Low-Order Polynomial Models and Screening Designs:Hundreds of Factors.- Kriging Metamodels.- LatinHypercube Sampling (LHS) and other Space-FillingDesigns.- Cross-Validation of Metamodels.- Conclu-sions and Further Research.

Fields of interest

Probability Theory and Stochastic Processes; Sta-tistical Theory and Methods; Mathematical Mod-eling and Industrial Mathematics; Operation Re-search/Decision Theory; Industrial and ProductionEngineering; Engineering Design

Target groups

Researchers and practitioners

Type of publication

Monograph

Due November 2007



69,95 €

ISBN 978-0-387-71812-5

I. Kleiner, York University, Toronto, ON, Canada

A History of Abstract Algebra

Prior to the nineteenth century, algebra meant thestudy of the solution of polynomial equations. By thetwentieth century it came to encompass the studyof abstract, axiomatic systems such as groups, rings,and fields. This presentation provides an account ofthe history of the basic concepts, results, and theo-ries of abstract algebra. The development of abstractalgebra was propelled by the need for new tools toaddress certain classical problems that appeared un-solvable by classical means. A major theme of the ap-proach in this book is to show how abstract algebrahas arisen in attempts to solve some of these classicalproblems, providing a context from which the readermay gain a deeper appreciation of the mathematicsinvolved. Mathematics instructors, algebraists, andhistorians of science will find the work a valuable ref-erence. The book may also serve as a supplementaltext for courses in abstract algebra or the history ofmathematics.

Features

Excellent reference or supplemental text for a firstcourse in abstract algebra Provides historical contextfrom which the reader may gain a deeper apprecia-tion of the subject Offers suggestions to instructorson ways of integrating the history of abstract algebrainto their teaching Each chapter concludes with ex-tensive references to the relevant literature

Contents

Preface.- Classical Algebra.- Group Theory.- RingTheory.- Field Theory.- Linear Algebra.- EmmyNoether and the Advent of Abstract Algebra.-Acourse in abstract algebra inspired by history.- Se-lected Biographies.- Index.

Fields of interest

History of Mathematics; Algebra; Group Theory andGeneralizations; Commutative Rings and Algebras;Field Theory and Polynomials; Linear and Multilin-ear Algebras, Matrix Theory

Target groups

Mathematics instructors, undergraduate and gradu-ate mathematics majors, algebraists, researchers, his-torians of mathematics and science, and mathemati-cians interested in the history of algebra

Type of publication

Monograph

Due November 2007


39,90 €

ISBN 978-0-8176-4684-4


A. Klenke, Johannes Gutenberg-Universität Mainz, Germany

Probability Theory

A Comprehensive Course

Aimed primarily at graduate students and re-searchers, this text is a comprehensive course inmodern probability theory and its measure-theoret-ical foundations. It covers a wide variety of topics,many of which are not usually found in introduc-tory textbooks, such as: limit theorems for sums ofrandom variables; martingales; percolation; Markovchains and electrical networks; construction ofstochastic processes; Poisson point processes and in-finite divisibility; large deviation principles and sta-tistical physics; Brownian motion; and stochastic in-tegral and stochastic differential equations. The the-ory is developed rigorously and in a self-containedway, with the chapters on measure theory interlacedwith the probabilistic chapters in order to display thepower of the abstract concepts in the world of prob-ability theory. In addition, plenty of figures, comput-er simulations, biographic details of key mathemati-cians, and a wealth of examples support and enliventhe presentation.

Features

A comprehensive and modern introduction tothe most important fields of probability theory. Aunique selection of topics, including many not usual-ly found in introductory texts.

Contents

Basic Measure Theory.- Independence.- Generat-ing Functions.- The Integral.- Moments and Lawsof Large Numbers.- Convergence Theorems.- Lp-Spaces and Radon-Nikodym Theorem.- Condition-al Expectations.- Martingales.- Optional SamplingTheorems.- Martingale Convergence Theorems andtheir Applications.- Backwards Martingales and Ex-changeability.- Convergence of Measures.- Proba-bility Measures on Product Spaces.- CharacteristicsFunctions and Central Limit Theorem.- InfinitelyDivisible Distributions.- Markov Chains.- Conver-gence of Markov Chains.- Markov Chains and Elec-trical Networks.- [..]

Fields of interest

Probability Theory and Stochastic Processes; Statisti-cal Theory and Methods; Statistical Physics

Target groups

Advanced undergraduate and graduate students; Re-searchers

Type of publication


Due December 2007


54,95 €

ISBN 978-1-84800-047-6

A.W. Knapp, State University of New York, Stony Brook, USA

Advanced Algebra

Basic Algebra and Advanced Algebra systematicallydevelop concepts and tools in algebra that are vital toevery mathematician, whether pure or applied, aspir-ing or established. Advanced Algebra includes chap-ters on modern algebra which treat various topics incommutative and noncommutative algebra and pro-vide introductions to the theory of associative alge-bras, homological algebras, algebraic number theory,and algebraic geometry. Together the two books givethe reader a global view of algebra, its role in mathe-matics as a whole and are suitable as texts in a two-semester advanced undergraduate or first-year grad-uate sequence in algebra.

Features

Focuses on algebraic number theory and algebra-ic geometry, and the distinctions and influences ofeach topic on the other Presents material vital to theknowledge of the professional mathematician Com-prehensive text ideal for the classroom or self-study

Contents

Preface.- Guide for the Reader.- Transition to Mod-ern Number Theory.- Wedderburn –Artin Ring The-ory.- Brauer Group.- Homological Algebra.- ThreeTheorems in Algebraic Number Theory.- Reinter-pretation with Adeles and Ideles.- Infinite Field Ex-tensions.- Background for Algebraic Geometry.- TheNumber Theory of Algebraic Curves.- Methods ofAlgebraic Geometry.- Index.

Fields of interest

Algebra; Non-associative Rings and Algebras; FieldTheory and Polynomials; Algebraic Geometry; Num-ber Theory; Category Theory, Homological Algebra

Target groups

Graduate students, mathematicians, researchers

Type of publication


Due December 2007

2007. XXIV, 736 p. 10 illus. (Cornerstones) Hardcover

54,90 €

ISBN 978-0-8176-4522-9

J. Knowles, University of Manchester, UK; D. Corne, Heriot-Watt

University, Edinburgh, UK; K. Deb, Indian Institute of Technology,

Kanpur, India (Eds.)

Multiobjective Problem Solving

from Nature

From Concepts to Applications

Multiobjective problems involve several competingmeasures of solution quality, and multiobjective evo-lutionary algorithms (MOEAs) and multiobjectiveproblem solving have become important topics ofresearch in the evolutionary computation commu-nity over the past 10 years. This is an advanced textaimed at researchers and practitioners in the areaof search and optimization. The book focuses onhow MOEAs and related techniques can be used tosolve problems, particularly in the disciplines of sci-ence and engineering. Contributions by leading re-searchers show how the concepts of multiobjectiveoptimization can be used to reformulate and resolveproblems in broad areas such as constrained opti-mization, coevolution, classification, inverse mod-elling and design. The book is distinguished fromother texts on MOEAs in that it is not primarilyabout the algorithms, nor specific applications, butabout the concepts and processes involved in solv-ing problems using a multiobjective approach. Eachchapter [..]

Contents

Introduction.- Fundamentals.- Connections to Na-ture.- Formulating a Problem.- Single-ObjectiveProblems.- Dealing with Many Objectives.- Applica-tions.- Conclusions.- MOEA: Triumph of NaturalComputing.- References.- Index.

Fields of interest

Artificial Intelligence (incl. Robotics); Optimization;Engineering Design; Theory of Computation

Target groups

Practitioners, researchers and graduate students inoptimization, design, natural computing

Type of publication

Monograph

Due December 2007

2008. Approx. 300 p. (Natural Computing Series) Hardcover

64,95 €

ISBN 978-3-540-72963-1


T. Kobayashi, Kyoto University, Japan; W. Schmid, Harvard Uni-

versity, Cambridge, MA, USA; J.-H. Yang, Inha University, In-

cheon, Korea (Eds.)

Representation Theory and

Automorphic Forms

This volume uses a unified approach to represen-tation theory and automorphic forms. The invitedpapers, written by leading mathematicians in relat-ed fields, track recent progress in the ever expand-ing fields of representation theory and automorphicforms, and their association with number theory anddifferential geometry. Both graduate students and re-searchers will find inspiration in this volume.

Features

Interdisciplinary approach to the ever expandingfields of representation theory and automorphicforms Written by leading mathematicians Tracks re-cent progress in representation theory and automor-phic forms, and their association with number the-ory and differential geometry Topics include: Auto-morphic forms and distributions, modular forms,visible-actions, Dirac cohomology, holomorphicforms, harmonic [..]

Contents

Introduction.- Ikeda, T.: On liftings of holomorphicmodular forms.- Miller, S., Schmid, W.: Automor-phic distributions and functional equations.- Ra-makrishnan, D.: *-selfdual representations.- Shahi-di, F.: Langlands Functoriality Conjecture.- Yang,J.: Harmonic Analysis on Homogeneous Spaces.-Yoshikawa, K.: Discriminant of certain K3 surfaces.-Miller, S.: Sums of automorphic forms coefficientswith applications to number theory and cryptogra-phy.- References.- Index.

Fields of interest

Algebra; Number Theory; Differential Geometry; Al-gebraic Geometry

Target groups

Graduate students and researchers in mathematics

Type of publication

Contributed volume

Due November 2007

2008. VIII, 216 PP. (Progress in Mathematics, Vol. 255) Hardcover

54,90 €

ISBN 978-0-8176-4505-2

N.I. Koblitz, University of Washington, Seattle, WA, USA

Random Curves

Journeys of a Mathematician

These autobiographical memoirs of Neal Koblitz,coinventor of one of the two most popular forms ofencryption and digital signature, cover many top-ics besides his own personal career in mathematicsand cryptography - travels to the Soviet Union, LatinAmerica, Vietnam and elsewhere, political activism,and academic controversies relating to math educa-tion, the C. P. Snow two-culture problem, and mis-treatment of women in academia. The stories speakfor themselves and reflect the experiences of a stu-dent and later a scientist caught up in the tumul-tuous events of his generation.

Features

Exciting autobiographical memoirs of an outstand-ing contemporary mathematician.

Contents

Early Years.- Harvard.- SDS.- The Army.- Springof 1972.- Academics.- The Soviet Union.- Racismand Apartheid.- Vietnam. Part I.- Vietnam. Part II.-Nicaragua and Cuba.- El Salvador.- Two Cultures.-Cryptography.- Education.- Arizona.- Index.

Fields of interest

History of Mathematics; Number Theory

Target groups

Mathematicians, computer scientists, historians ofscience, science-interested lay people

Type of publication

Biography

Due November 2007


34,95 €

ISBN 978-3-540-74077-3

D. Konaté, Virginia Tech, Blacksburg, VA, USA (Ed.)

Mathematical Modeling,

Simulation, Visualization and e-

Learning

Proceedings of an International Workshop held at Rockefeller

Foundation' s Bellagio Conference Center, Milan, Italy, 2006

This book is a collection of articles written by someof the most prominent leading applied mathemati-cians, as well as articles from young and promisingscientists from Africa, Asia and Europe. The com-mon objective of these articles is to present an im-portant issue which is currently widely discussed inscientific investigation with major human, economicor ecological implications. One main feature of theseries, which the current book exemplifies, is thateach article is as deep as an expert lecture but is alsoself-contained, so that even isolated scientists withlimited resources can profit greatly from it. Anoth-er feature of this book is that each article is meant topresent a collection of open questions which can fuelundergraduate or graduate research activities even insmaller or more isolated scientific communities.

Fields of interest

Computational Mathematics and Numerical Anal-ysis; Mathematical Modeling and Industrial Mathe-matics; Visualization; Mathematics of Computing;Math. Appl. in Environmental Science; Game Theo-ry/Mathematical Methods

Target groups

Research scientists, undergraduate and graduate stu-dents

Type of publication

Proceedings

Due December 2007


69,95 €

ISBN 978-3-540-74338-5


A. Kornai, MetaCarta Inc., Cambridge MA, USA

Mathematical Linguistics

Mathematical Linguistics introduces the mathemati-cal foundations of linguistics to computer scientists,engineers, and mathematicians interested in naturallanguage processing. The book presents linguistics asa cumulative body of knowledge from the ground up:no prior knowledge of linguistics is assumed. Previ-ous textbooks in this area concentrate on syntax andsemantics - this comprehensive volume covers an ex-tremely rich array of topics also including phonologyand morphology, probabilistic approaches, complex-ity, learnability, and the analysis of speech and hand-writing. As the first textbook of its kind, this book isuseful for those in information science (informationretrieval and extraction, search engines) and in nat-ural language technologies (speech recognition, op-tical character recognition, HCI). Exercises suitablefor the advanced reader are included, as well as sug-gestions for further reading and an extensive bibliog-raphy.

Features

Aims to teach linguistics to the reader but presumesonly knowledge of mathematics at the undergraduatelevel The material was hitherto available only in theresearch literature Wide applicability in informationscience (information retrieval, information extrac-tion, search engines) and in natural language tech-nologies (speech recognition, OCR, HCI)

Contents

Introduction.- The Elements.- Phonology.- Mor-phology.- Syntax.- Semantics.- Complexity.- Linguis-tic Pattern Recognition.- Speech and Handwriting.-Simplicity.- Bibliography.- Index.

Fields of interest

Language Translation and Linguistics; Applicationsof Mathematics; Signal,Image and Speech Process-ing; Mathematical Logic and Formal Languages;Probability Theory and Stochastic Processes; PatternRecognition

Target groups

Graduates, advanced graduates, researchers, softwareengineers in natural language technology

Type of publication


Due December 2007

2008. Approx. 305 p. (Advanced Information and Knowledge

Processing) Hardcover

76,95 €

ISBN 978-1-84628-985-9

H.J. Korsch, University of Kaiserslautern, Germany; H.-J. Jodl, Uni-

versity of Kaiserslautern, Germany

Chaos

A Program Collection for the PC

This new edition strives yet again to provide read-ers with a working knowledge of chaos theory anddynamical systems through parallel introductory ex-planations in the book and interaction with careful-ly-selected programs supplied on the accompany-ing diskette. The programs enable readers, especial-ly advanced-undergraduate students in physics, en-gineering, and math, to tackle relevant physical sys-tems quickly on their PCs, without distraction fromalgorithmic details. For the third edition of Chaos:A Program Collection for the PC, each of the previ-ous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are includ-ed). A new program treats kicked systems, an im-portant class of two-dimensional problems, which isintroduced in Chapter 13. Each chapter follows thestructure: theoretical background; numerical tech-niques; interaction with the program; computer ex-periments; real experiments and empirical evidence;reference. Interacting with the many numerical ex-periments have [..]

Features

Unique collection of programs on chaos theoryand its simulation, all now rewritten in C++ (andtwo versions - Windows and Linux) Can be used asprimer Ideal for case studies on chaos theory Newchapter on kicked systems

Contents

Overview and Basic Concepts.- Nonlinear Dynamicsand Deterministic Chaos.- Billiard Systems.- Gravi-tational Billiards: The Wedge.- The Double Pendu-lum.- Chaotic Scattering.- Fermi Acceleration.- TheDuffing Oscillator.- Feigenbaum Scenario.- Nonlin-ear Electronic Circuits.- Mandelbrot and Julia Sets.-Ordinary Differential Equations.- Kicked Systems.-A. System Requirements and Program Installation.-B. General Remarks on Using the Programs.- Glos-sary.

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Quantum Computing, Informa-tion and Physics; Quantum Physics; MathematicalMethods in Physics; Computational Mathematicsand Numerical Analysis; Numerical and Computa-tional Methods in Engineering

Target groups

Graduate students in physics, mathematics and engi-neering

Type of publication


Due November 2007

2008. XV, 311 p. 250 illus., many numerical experiments. With

CD-ROM. Hardcover

69,95 €

ISBN 978-3-540-74866-3

B. Korte, University of Bonn, Germany; J. Vygen, University of

Bonn, Germany

Combinatorial Optimization

Theory and Algorithms

This comprehensive textbook on combinatorial opti-mization puts special emphasis on theoretical resultsand algorithms with provably good performance,in contrast to heuristics. It has arisen as the basis ofseveral courses on combinatorial optimization andmore special topics at graduate level. Since the com-plete book contains enough material for at least foursemesters (4 hours a week), one usually selects ma-terial in a suitable way. The book contains completebut concise proofs, also for many deep results, someof which did not appear in a book before. Many veryrecent topics are covered as well, and many refer-ences are provided. Thus this book represents thestate of the art of combinatorial optimization. Thisthird edition contains a new chapter on facility lo-cation problems, an area which has been extremelyactive in the past few years. Furthermore there areseveral new sections and further material on varioustopics. New exercises and updates in the bibliogra-phy were added. From the reviews [..]

Features

Well-written textbook on combinatorial optimiza-tion One of very few textbooks on this topic Subjectarea has manifold applications

Fields of interest

Combinatorics; Calculus of Variations and OptimalControl; Optimization; Mathematics of Computing

Target groups

Students in combinatorial optimization and opera-tions research

Type of publication


Due October 2007

2008. XVIII, 627 p. (Algorithms and Combinatorics, Vol. 21) Hard-

cover

54,95 €

ISBN 978-3-540-71843-7


U.H. Kortenkamp, Pädagogische Hochschule, Schwäbisch

Gmünd, Germany; J. Richter-Gebert, Technische Universität,

München, Germany

The Interactive Geometry Software

Cinderella.2

Cinderella.2, the new version of the well-known in-teractive geometry software Cinderella, has becomean even more versatile tool than its predecessor. Thegeometry part extends the functionality to such spec-tacular objects as dynamic fractals, and the softwareincludes two major new components: physical sim-ulation such as of mechanical objects, virtual elec-tronic devices, and electromagnetic properties. Theother new components feature algorithms via a spe-cially developed scripting language, which interactssmoothly with the geometry and physics compo-nents. Cinderella.2 is Math in Motion all the way.

Features

Best geometry and physics simulation and teachingsoftware available

Fields of interest

Geometry; Electronics and Microelectronics, Instru-mentation; Algorithms; Mechanics, Fluids, Ther-modynamics; Electromagnetism, Optics and Lasers;Computer Imaging, Vision, Pattern Recognition andGraphics

Target groups

Students in mathematics, physics and computer sci-ence

Type of publication

Teachware

Due February 2008

2008. CD-ROM, with handbook (also available as netlicence edi-

tion).

64,95 €

ISBN 978-3-540-33422-4

U.H. Kortenkamp, Pädagogische Hochschule, Schwäbisch

Gmünd, Germany; J. Richter-Gebert, Technische Universität,

München, Germany

The Cinderella.2 Manual

Cinderella.2, the new version of the well-known in-teractive geometry software Cinderella, has becomean even more versatile tool than its predecessor. Thegeometry part extends the functionality to such spec-tacular objects as dynamic fractals, and the softwareincludes two major new components: physical sim-ulation such as of mechanical objects, virtual elec-tronic devices, and electromagnetic properties. Theother new components feature algorithms via a spe-cially developed scripting language, which interactssmoothly with the geometry and physics compo-nents. Cinderella.2 is Math in Motion all the way.

Features

Best geometry and physics simulation and teachingsoftware available

Fields of interest

Geometry; Electronics and Microelectronics, Instru-mentation; Algorithms; Mechanics, Fluids, Thermo-dynamics; Electromagnetism, Optics and Lasers

Target groups

Students in mathematics, physics and computer sci-ence

Type of publication


Due February 2008


24,95 €

ISBN 978-3-540-34924-2

P. Kotelenez, Case Western Reserve University, Cleveland, OH,

USA

Stochastic Ordinary and Stochastic


Transition from Microscopic to Macroscopic Equations

This volume analyzes mathematical models of time-dependent physical phenomena on three levels in-cluding microscopic, mesoscopic and macroscop-ic. It provides a rigorous derivation of each levelfrom the preceding one and the resulting mesoscop-ic equations are analyzed in detail. Stochastic PartialDifferential Equations analyzes mathematical mod-els of time-dependent physical phenomena on mi-croscopic, macroscopic and mesoscopic levels. Writ-ten mainly for researchers and graduate students,this book provides a rigorous derivation of each lev-el from the preceding one while the resulting mesco-scopic equations are analyzed in detail. Chapter onedescribes the transition from the microscopic equa-tions to the mesoscopic equations where the secondchapter covers a general system for the positions ofthe large particles. Peter Kotelenez is a professor ofmathematics at Case Western Reserve University inCleveland, Ohio.

Contents

Introduction.- From Microscopic Dynamics toMesoscopic Kinematics.- Mesoscopic A- Stochas-tic Ordinary Differential Equations.-Mesoscopic B-Stochastic Partial Differential Equations.- Macro-scopic: Deterministic Partial Differential Equations.-General Appendix.- Subject Index.- List of Symbols.-References.

Fields of interest

Probability Theory and Stochastic Processes; Mathe-matical Methods in Physics

Target groups


Type of publication

Monograph

Due December 2007

2008. Approx. 480 p. (Stochastic Modelling and Applied Proba-

bility, Vol. 58) Hardcover

54,95 €

ISBN 978-0-387-74316-5


D. Kozlov, University of Bremen, Germany

Combinatorial Algebraic Topology

Combinatorial algebraic topology is a fascinatingand dynamic field at the crossroads of algebraictopology and discrete mathematics. This volume isthe first comprehensive treatment of the subject inbook form. The first part of the book constitutes aswift walk through the main tools of algebraic topol-ogy, including Stiefel-Whitney characteristic classes,which are needed for the later parts. Readers - grad-uate students and working mathematicians alike -will probably find particularly useful the second part,which contains an in-depth discussion of the majorresearch techniques of combinatorial algebraic topol-ogy. Our presentation of standard topics is quite dif-ferent from that of existing texts. In addition, severalnew themes, such as spectral sequences, are included.Although applications are sprinkled throughout thesecond part, they are principal focus of the third part,which is entirely devoted to developing the topologi-cal structure theory for graph homomorphisms. Themain benefit for [..]

Contents

Overture.- Part I Concepts of Algebraic Topol-ogy.- 2 Cell complexes.- 3 Homology groups.- 4Concepts of Category Theory.- 5 Exact sequences.-6 Homotopy.- 7 Cofibrations.- 8Principle -bundles and Stiefel-Whit-ney characteristic classes.- Part II Methods of Com-binatorial Algebraic Topology.- 9 Combinato-rial complexes melange.- 10 Acyclic categories.-&nb-sp;11 Discrete Morse theory.- 12 Lexicographicshellability.- 13 Evasiveness and closure operators.-14 Colimits and quotients.- 15 Homotopycolimits.- Part III Complexes of Graph Homomor-phisms.- 17 [..]

Fields of interest

Algebraic Topology; Combinatorics

Target groups

Undergraduate and graduate students in mathemat-ics

Type of publication


Due October 2007

2008. XIX , 389 p. 115 illus. (Algorithms and Computation in

Mathematics, Vol. 21) Hardcover

79,95 €

ISBN 978-3-540-71961-8

S.G. Krantz, Washington University in St. Louis, MO, USA.

The Proof is in the Pudding

The Changing Nature of Mathematical Proof

Krantz takes the reader on a journey around theglobe and through centuries of history , exploringthe many transformations that mathematical proofhas undergone from its inception at the time of Eu-clid and Pythagoras to its versatile, present-day use .The author elaborates on the beauty, challenges andmetamorphisms of thought that have accompaniedthe search for truth through proof. The first twochapters examine the early beginnings of concept ofproof and the creation of its elegant structure andlanguage, touching on some of the logic and philos-ophy behind these developments. The history thenunfolds as the author explains the changing face ofproofs. The more well-known proofs , the math-ematicians behind them, and the world that sur-rounded them are all highlighted . Each story has itsown unique past; there was often a philosophical, so-ciological, technological or competitive edge that re-stricted or promoted progress. But the author's com-mentary and insights create a seamless thread [..]

Features

An extensive evolution of the proof presented forthe first time in book form Topics cover centuriesof mathematical history, dating back to Eudoxusand Euclid and span the ages to concludewith the some versatile, present-day useof the proof Author expresses keen insightsand a wealth of historical knowledge Proofsare presented and accompanied by figures, equationsand examples

Contents

Preface.- What is a Proof and Why?- The Ancients.-The Middle Ages and Calculation.- The Dawn ofModern Age.- Hilbert and the Twentieth Centu-ry.- The Four-Color Theorem.- Computer-Generat-ed Proofs.- The Computer as a Mathematical Aid.-The Sociology of Mathematical Proof.- A Legacyof Elusive Proofs.- John Horgan and "The Death ofProof".- Methods of Mathematical Proof.- ClosingThoughts.- References

Fields of interest

Popular Science in Mathematics/Natural Sci-ence/Technology; Mathematical Logic and Founda-tions; History of Mathematics; Numerical Analysis

Target groups

Professionals, students, anyone interested in themathematical proof, its foundations and transforma-tions, general literate audience

Type of publication

Popular science

Due February 2009


23,10 €

ISBN 978-0-387-48908-7

S.G. Krantz, Washington University, St. Louis, MO

Explorations in Harmonic Analysis

with Applications to Complex Function Theory and the

Heisenberg Group

This text on modern harmonic analysis provides anintroduction to the subject in the context in whichit is actually applied, in particular, through com-plex function theory and partial differential equa-tions. The exposition begins with the fundamentalsof Fourier analysis, complex function theory, andintegral operators and further introduces studentsto cutting-edge ideas about the Heisenberg group.The subject is introduced through Fourier seriesand Hilbert transforms, passing into singular inte-grals, Riesz fractional integrals and the Calderón-Zygmund singular integrals. Function theory of sev-eral complex variables is presented as a prelude tothe generalized Cayley transform and the Sigel up-per halfspace. Finally, the structure of the Heisen-berg group, which naturally models the structures ofcanonical operators of several complex variables, isexplored. This self-contained text serves as an intro-duction to analysis on the Heisenberg group. It is anideal text for advanced undergraduate and [..]

Features

Modern introduction to a particular directionin modern harmonic analysis Self-contained text onanalysis of integral operators Presents both funda-mentals and applications of harmonic analysis, espe-cially to important concepts about the Heisenberggroup

Contents

Preface.-Background in Fourier Series.-The FourierTransform.-Fractional and Singular Integrals.-Pseu-dodifferential Operators.-The Real Variable Point ofView.-Several Complex Variables.-Canonical Inte-gral Operators.-Boundary Behavior.-The HeisenbergGroup.-Analysis on the Heisenberg Group.-Index.

Fields of interest

Abstract Harmonic Analysis; Approximations andExpansions; Several Complex Variables and AnalyticSpaces; Fourier Analysis; Group Theory and Gener-alizations; Partial Differential Equations

Target groups

Advanced undergraduate and graduate students in-terested in modern harmonic analysis

Type of publication


Due April 2009


ISBN 978-0-8176-4668-4


S.G. Krantz, Washington University, St. Louis, MO, USA; H. Parks,

Oregon State University, Corvallis, OR, USA

Geometric Integration Theory

This textbook introduces geometric measure theorythrough the notion of currents. Currents, continu-ous linear functionals on spaces of differential forms,are a natural language in which to formulate typesof extremal problems arising in geometry, and canbe used to study generalized versions of the Plateauproblem and related questions in geometric analysis.The text provides considerable background for thestudent and discusses techniques that are applicableto complex geometry, partial differential equations,harmonic analysis, differential geometry, and manyother parts of mathematics. Topics include the defor-mation theorem, the area and coareas formulas, thecompactness theorem, the slicing theorem and ap-plications to minimal surfaces. Motivating key ideaswith examples and figures, Geometric IntegrationTheory is a comprehensive introduction ideal forboth self-study and for use in the classroom. The ex-position demands minimal background, is self-con-tained and accessible, and thus is ideal [..]

Features

Self-contained, inclusive, and accessible for both thegraduate students and researchers Motivates the keyideas with examples and figures Includes consider-able background material and complete proofs

Contents

Preface.- Basics.- Carathéodory’s Construction andLower-Dimensional Measures.- Invariant Meauresand the Construction of Haar Meaure.- CoveringTheorems and the Differentiation of Integrals.- An-alytical Tools: the Area Formula, the Coarea Formu-la, and Poincaré Inequalities.- The Calculus of Dif-ferential Forms and Stokes’s Theorem.- Introduc-tion to Currents.- Currents and the Calculus of Vari-ations.- Regularity of Mass-Minimizing Currents.-Appendix.- Bibliography.- Index of Notation.- Index.

Fields of interest

Measure and Integration; Integral Equations; Inte-gral Transforms, Operational Calculus; Geometry;Differential Geometry; Convex and Discrete Geom-etry

Target groups

Graduate students and researchers interested in geo-metric measure theory

Type of publication


Due April 2008


53,90 €

ISBN 978-0-8176-4676-9

W. Krämer, Karlsruhe, Germany; U. Kulisch, R. Lohner, Karlsruhe,

Germany

Numerical Toolbox for Verified

Computing II

Advanced Numerical Problems

Fields of interest

Computational Mathematics and Numerical Analy-sis; Software Engineering/Programming and Operat-ing Systems

Type of publication

Monograph

Due November 2008

2008. Approx. 370 pp. Hardcover

59,81 €

ISBN 978-3-540-60470-9

Y.-K. Kwok, Hong Kong University of Science & Technology, Chi-

na

Mathematical Models of Financial

Derivatives

This second edition of Mathematical Models of Fi-nancial Derivatives, now featuring new material, fo-cuses on the valuation principles that are common tomost derivative securities. A wide range of financialderivatives commonly traded in the equity and fixedincome markets are analysed, emphasising aspectsof pricing, hedging and practical usage. It presentsa self-contained treatment of risk-neutral valuationtheory, martingale measure, and tools in stochasticcalculus required for the understanding of optionpricing theory. Derivative pricing models are solvedusing various approaches, by martingale pricing the-ory and partial differential equation methods. Thistext is targeted to students in mathematical finance.It also serves as a good reference for quantitative an-alysts and derivative traders in investment banks.The most resent research results and methodologiesare made accessible to the reader through the exten-sive set of exercises at the end of each chapter.

Features

- was one of the earliest introductory text-books in mathematical finance - good reputation es-tablished by the 1st edition

Contents

Introduction to Derivative Instruments.- Fundamen-tal Concepts of Financial Economics and Asset PriceDynamics.- Pricing Models for One-Asset EuropeanOptions.- Path Dependent Options.- American Op-tions and Free Boundary Value Problems.- Numeri-cal Schemes for Pricing Options.- Interest Rate Mod-els and Bond Pricing.- Interest Rate Instruments

Fields of interest

Quantitative Finance; Finance /Banking

Type of publication


Due March 2008

2008. Approx. 500 p. (Springer Finance) Hardcover

65,90 €

ISBN 978-3-540-42288-4


V. Lakshmibai, Northeastern University, Boston, MA, USA; P. Lit-

telmann, Bergische Universität, Wuppertal, Germany; C.S. Se-

shadri, Chennai Mathematical Institute, Chennai, India

Schubert Varieties

Over the past two decades, and more intensely in re-cent years, the algebro-geometric study of SchubertVarieties has had considerable impact on the theo-ry of algebraic groups. One of the most interestingdevelopments in the theory has been the construc-tion of natural bases of representations of the fulllinear group $GL(n)$, the orthogonal group, andthe symplectic group. This construction gives char-acter formulas of these representations which arequite different in spirit from the famous characterformulas of H. Weyl. In fact, they connect to mono-mial theory and the work of Hodge which was donemore than fifty years ago, and to the very recent de-velopments in path models, Frobenius splittings,and quantum groups. Written by three of the world'sleading mathematicians in algebraic geometry, grouptheory, and combinatorics, this excellent self- con-tained exposition on Schubert Varieties unfolds sys-tematically, from relevant introductory material oncommutative algebra and [..]

Contents

Preface.- Preliminaries.- SMT for Graßmann va-rieties.- Combinatorics of Weyl groups and Schu-bert varieties.- SMT for flag varieties.- Path mod-els of representations.- Frobenius map and Path Ba-sis.- Path Models.- Quantum Demazure Modules.-Standard Monomial Basis.- Applications StandardMonomial Basis.- References.- Index.

Fields of interest

Algebra; Algebraic Geometry; Group Theory andGeneralizations; Differential Geometry

Target groups

Algebraic geometers, grad students, math physicists

Type of publication


Due July 2009

2009. (Progress in Mathematics, Vol. 257) Hardcover

68,00 €

ISBN 978-0-8176-4153-5

U. Langer, University of Linz, Austria; M. Discacciati, Ecole

Polytechnique Fédérale de Lausanne, Switzerland; D. Keyes,

Columbia University, NY, USA; O. Widlund, New York University,

New York, NY, USA; W. Zulehner, University of Linz, Austria (Eds.)

Domain Decomposition Methods in

Science and Engineering XVII

This volume contains a selection of papers present-ed at the 17th International Conference on DomainDecomposition Methods in Science and Engineeringheld at St. Wolfgang / Strobl, Austria, July 3 - 7, 2006.Domain decomposition is an active, interdisciplinaryresearch field concerned with the development, anal-ysis, and implementation of coupling and decou-pling strategies in mathematical and computation-al models. Domain decomposition methods provideefficient tools for treating problems in all computa-tional sciences. The reader will become familiar withthe newest domain decomposition techniques andtheir use in the modelling and simulation of complexproblems from different fields of application.

Fields of interest

Computational Mathematics and Numerical Anal-ysis; Computational Science and Engineering; Nu-merical and Computational Methods; Numerical andComputational Methods in Engineering

Target groups


Type of publication

Proceedings

Due December 2007

2008. Approx. 650 (Lecture Notes in Computational Science and

Engineering, Vol. 60) Softcover

99,95 €

ISBN 978-3-540-75198-4

J.A. Lee, Université Catholique de Louvain, Belgium; M. Verley-

sen, Université Catholique de Louvain, Belgium

Nonlinear Dimensionality

Reduction

Methods of dimensionality reduction provide a wayto understand and visualize the structure of complexdata sets. Traditional methods like principal compo-nent analysis and classical metric multidimension-al scaling suffer from being based on linear models.Until recently, very few methods were able to reducethe data dimensionality in a nonlinear way. Howev-er, since the late nineties, many new methods havebeen developed and nonlinear dimensionality re-duction, also called manifold learning, has become ahot topic. New advances that account for this rapidgrowth are, e.g. the use of graphs to represent themanifold topology, and the use of new metrics likethe geodesic distance. In addition, new optimiza-tion schemes, based on kernel techniques and spec-tral decomposition, have lead to spectral embedding,which encompasses many of the recently developedmethods. This book describes existing and advancedmethods to reduce the dimensionality of numericaldatabases. For each method, the description [..]

Features

Covers a wide range of methods to reduce the di-mensionality of data and presents a unifying point ofview

Contents

High-dimensional data.- Characteristics of an analy-sis method.- Estimation of the intrinsic dimension.-Distance preservation.- Topology preservation.-Method comparisons.- Conclusions.

Fields of interest

Probability and Statistics in Computer Science; Da-ta Mining and Knowledge Discovery; Visualization;Image Processing and Computer Vision; PatternRecognition; Statistical Theory and Methods

Target groups

Researchers, grad students

Type of publication

Monograph

Due December 2007

2007. Approx. 300 p. (Information Science and Statistics) Hard-

cover

64,95 €

ISBN 978-0-387-39350-6


M. Lefebvre, École Polytechnique de Montréal, Montréal, Canada

Basic Probability Theory with

Applications

This book presents elementary probability theorywith interesting and well-chosen applications that il-lustrate the theory. An introductory chapter reviewsthe basic elements of differential calculus which areused in the material to follow. The theory is present-ed systematically, beginning with the main results inelementary probability theory. This is followed bymaterial on random variables. Random vectors, in-cluding the all important central limit theorem, aretreated next. The last three chapters concentrate onapplications of this theory in the areas of reliabilitytheory, basic queuing models, and time series. Exam-ples are weaved into the text with elegance. Over 400exercises reinforce the material and provide studentswith ample practice. This textbook can be used byundergraduate students in pure and applied sciencessuch as mathematics, engineering, computer science,finance and economics. A separate solutions manualis available to instructors.

Features

Presents elementary probability theory with interest-ing and well-chosen applications that illustrate thetheory Main results in elementary probability, ran-dom variables, random vectors and the central limittheorem are covered Applications in reliability the-ory, basic queuing models, and time series are pre-sented Over 400 exercises reinforce the material andprovide students with ample practice Introductory[..]

Contents

Preface.- Review of Differential Calculus.- Elemen-tary Probability.- Random Variables.- Random Vec-tors.- Reliability.- Queueing.- Time Series.- Ap-pendix A: Statistical Tables.- Appendix B: Answers toEven-Numbered Exercises.- Appendix C: Answers toMultiple-Choice Questions.- References.- Index.

Fields of interest

Probability Theory and Stochastic Processes;Appl.Mathematics/Computational Methods of Engi-neering; Probability and Statistics in Computer Sci-ence; Game Theory/Mathematical Methods

Target groups

Undergraduate students in pure and applied sci-ences.

Type of publication


Due May 2008

2008. Approx. 340 p. (Springer Undergraduate Series in Mathe-

matics and Technology) Hardcover

ISBN 978-0-387-74994-5

M. Lemoine, Inst. d'Astrophysique de Paris, France; J. Martin, Inst.

d'Astrophysique de Paris, France; P. Peter, Inst. d'Astrophysique

de Paris, France (Eds.)

Inflationary Cosmology

Some 25 years after the birth of inflationary cosmol-ogy this volume sets out to provide a both authori-tative and pedagogical introduction and review ofthe state of the field. Cosmic inflation corresponds toan episode of accelerated expansion of the very ear-ly universe and solves nicely a collection of puzzlesthat had plagued standard cosmology so far. Differ-ent scenarios exist, though, and the reader will learnabout the "ins" and "outs" as the subject and relatedissues are surveyed. With lectures written by eminentscientists in the field, many of them having madepioneering contributrions in the early hours of thefield, "Inflationary Cosmology" addresses both se-nior and younger high-energy physicists, cosmolo-gists and observational astrophysicists seeking both areadable account and reference in the field.

Contents

Inflationary Cosmology.- Preheating After Infla-tion.- Particle Physics Models of Inflation.- Infla-tion in String Theory.- Predictions in Eternal Infla-tion.- Inflationary Pertrubations: the CosmologicalSchwinger Effect.- The Numerical Treatment of In-flationary Models.- Multiple Field Inflation.- TheQuest for Non-Gaussianity.- Production of Topo-logical Defects at the End of Inflation.- ConceptualProblems of Inflationary Cosmology and a New Ap-proach to Cosmological Structure Formation.- In-dex.

Fields of interest

Relativity and Cosmology; Physics beyond the Stan-dard Model

Target groups


Type of publication

Monograph

Due October 2007

2008. X, 428p., with 176 illus.Also available online. (Lecture Notes

in Physics, Vol. 738) Hardcover

69,95 €

ISBN 978-3-540-74352-1

M. Li, University of Waterloo, ON, Canada; P.M.B. Vitányi, CWI,

Amsterdam, The Netherlands

An Introduction to Kolmogorov

Complexity and Its Applications

"The book is outstanding and admirable in many re-spects. ... is necessary reading for all kinds of readersfrom undergraduate students to top authorities inthe field." Journal of Symbolic Logic Written by twoexperts in the field, this is the only comprehensiveand unified treatment of the central ideas and theirapplications of Kolmogorov complexity. The bookpresents a thorough treatment of the subject with awide range of illustrative applications. Such applica-tions include the randomness of finite objects or in-finite sequences, Martin-Loef tests for randomness,information theory, computational learning theo-ry, the complexity of algorithms, and the thermody-namics of computing. It will be ideal for advancedundergraduate students, graduate students, and re-searchers in computer science, mathematics, cogni-tive sciences, philosophy, artificial intelligence, statis-tics, and physics. The book is self-contained in thatit contains the basic requirements from mathematicsand computer science. Included [..]

Features

Develops Kolmogorov theory in detail and outlinesthe wide range of illustrative applications Presentsrecent, major results in the field; topics include,Omega numbers, Kolmogorov-Loveland random-ness, universal learning, communication complexity,Kolmogorov's random graphs, time-limited univer-sal distribution, Shannon information Introduces re-sults from prominent researchers in the field, such asthose found [..]

Contents

Preliminaries.- Algorithmic Complexity.- Algo-rithmic Prefix Complexity.- Algorithmic Probabil-ity.- Inductive Reasoning.- The IncompressibilityMethod.- Resource-Bounded Complexity.- Physics,Information, and Computation.- Shannon Informa-tion and Kolmogorov Complexity.- Information Dis-tance

Fields of interest

Coding and Information Theory; Algorithms; Theo-ry of Computation; Pattern Recognition; StatisticalTheory and Methods

Target groups

Advanced undergraduate and graduate students, re-searchers in computer science, math, informationtheory, cognitive sciences, psychology, biology, lin-guistics, economy, learning theory

Type of publication


Due August 2008

Originally published in the series: Texts and Monographs in Com-

puter Science

2008. Approx. 800 p. 41 illus. (Texts in Computer Science) Hard-

cover

66,95 €

ISBN 978-0-387-33998-6


L. Linsen, Jacobs University Bremen, Germany; H. Hagen, TU

Kaiserslautern, Germany; B. Hamann, University of California,

Davis, USA (Eds.)

Visualization in Medicine and Life

Sciences

Visualization technology is becoming increasinglyimportant for medical and biomedical data process-ing and analysis. This technology complements tra-ditional image processing methods as it allows sci-entists to visually interact with large, high- resolu-tion three-dimensional image data, for example. Fur-ther, an ever increasing number of new data acquisi-tion methods are being used in medicine and the lifesciences, in particular in genomics and proteomics.This book discusses some of the latest visualizationtechniques and systems for effective analysis of suchdiverse, large, complex, and multi-source data. Ex-perts from all over the world had been invited to par-ticipate in a workshop held in July 2006 on the islandRügen in Germany. About 40 participants presentedstate-of-the-art research on the topic. Research andsurvey papers have been solicited and carefully refer-eed, resulting in this collection. The topics coveredinclude Segmentation and Feature Detection, SurfaceExtraction, Volume [..]

Features

The interaction between visualization and medicineis one of the fastest expanding fields, both scientifi-cally and commercially.

Contents

Part I Surface Extraction Methods from MedicalImaging Data Towards Automatic Generation of3D Models of Biological Objects Based on SerialSections.- Vincent Jasper Dercksen, Cornelia Brüß,Detlev Stalling, Sabine Gubatz, Udo Seiffert, Hans-Christian Hege.A Topological Approach to Quanti-tation of Rheumatoid Arthritis. - Hamish Carr, JohnRyan, Maria Joyce, Oliver Fitzgerald, Douglas Veale,Robin Gibney, Patrick Brennan.3D Visualization ofVasculature: An Overview. - Bernhard Preim, SteffenOeltze.3D Surface Reconstruction from EndoscopicVideos. - Arie Kaufman, Jianning Wang. Part [..]

Fields of interest

Visualization; Computer Graphics; Computer Appl.in Life Sciences; Mathematical Modeling and Indus-trial Mathematics; Image Processing and ComputerVision; Computational Science and Engineering

Target groups

Researchers, graduate students, and profession-als dealing with visualization and its application inmedicine and life sciences

Type of publication

Proceedings

Due October 2007

2008. IX, 345 p. 162 illus., 35 in color in color appendix. (Mathe-

matics and Visualization) Hardcover

79,95 €

ISBN 978-3-540-72629-6

L. Lipsky, University of Connecticut, Storrs, CT, USA

Queuing Theory

A Linear Algebraic Approach

This textbook is a very good introduction to queue-ing analysis using matrix analytic techiques. Thebook is readable and the author provides numerousexamples and exercises to illustrate crucial points.

Features

A unique book, with no other like it Examples ofcurrent applications (e.g. telecommunications sys-tems) included The author is the definitive and mostrespected authority in this field Large amount of ex-amples and exercises included

Contents

Introduction.- M/M/1 Queue.- Matrix ExponentialFunctions.- M/G/1 Queue.- G/M/1 Queue.- M/G/C-Type Systems.- G/G/1//N Loop.- Semi-Markov Pro-cesses.- Linear Algebraic Approach.- Glossary.- Ref-erences.- Index.

Fields of interest

Probability Theory and Stochastic Processes; Opera-tion Research/Decision Theory; Information Systemsand Communication Service; Operations Research,Mathematical Programming; Game Theory/Mathe-matical Methods

Target groups

upper undergraduate and graduate students

Type of publication


Due February 2008

Originally published by Wiley & Sons, 1992


54,95 €

ISBN 978-0-387-49704-4

J.S. Liu, Harvard University, Cambridge, MA, USA

Monte Carlo Strategies in Scientific

Computing

This paperback edition is a reprint of the 2001Springer edition. This book provides a self-con-tained and up-to-date treatment of the Monte Carlomethod and develops a common framework underwhich various Monte Carlo techniques can be "stan-dardized" and compared. Given the interdisciplinarynature of the topics and a moderate prerequisite forthe reader, this book should be of interest to a broadaudience of quantitative researchers such as com-putational biologists, computer scientists, econome-tricians, engineers, probabilists, and statisticians. Itcan also be used as the textbook for a graduate-lev-el course on Monte Carlo methods. Many problemsdiscussed in the alter chapters can be potential thesistopics for masters’ or Ph.D. students in statistics orcomputer science departments.

Features

The author is a leading researcher in a very activearea of research Emphasis is on making these meth-ods accessible to scientists who want to apply themIncludes examples from artificial intelligence, com-putational biology, computer vision and chemistry

Contents

Introduction and Examples.- Basic Principles: Re-jection, Weighting, and Others.- Theory of Se-quential Monte Carlo.- Sequential Monte Carloin Action.- Metropolis Algorithm and Be-yond.- The Gibbs Sampler.- Cluster Algo-rithms for the Ising Model.- General ConditionalSampling.- Molecular Dynamics and Hybrid MonteCarlo.- Multilevel Sampling and Optimization Meth-ods.- Population-Based Monte Carlo Methods.-Markov Chains and Their Convergence.-Selected Theoretical Topics.- Basics in Probabilityand Statistics.- References.- Author Index.- SubjectIndex.

Fields of interest

Statistical Theory and Methods; ComputationalMathematics and Numerical Analysis; Statistics forBusiness/Economics/Mathematical Finance/Insur-ance; Probability Theory and Stochastic Processes;Mathematical Methods in Physics; Numerical andComputational Methods

Target groups


Type of publication

Monograph

Due February 2008

2008. Approx. 360 p. (Springer Series in Statistics) Softcover

38,50 €

ISBN 978-0-387-76369-9


F. Lorenz, University of Muenster, Germany

Algebra

Volume II: Fields with Structure, Algebras and Advanced Top-

ics

From Math Reviews: This is Volume II of a two-volume introductory text in classical algebra. Thetext moves carefully with many details so that read-ers with some basic knowledge of algebra can readit without difficulty. The book can be recommend-ed either as a textbook for some particular algebra-ic topic or as a reference book for consultations in aselected fundamental branch of algebra. The bookcontains a wealth of material. Amongst the topicscovered in Volume II the reader can find: the theo-ry of ordered fields (e.g., with reformulation of thefundamental theorem of algebra in terms of orderedfields, with Sylvester's theorem on the number of re-al roots), Nullstellen-theorems (e.g., with Artin's so-lution of Hilbert's 17th problem and Dubois' theo-rem), fundamentals of the theory of quadratic forms,of valuations, local fields and modules. The book al-so contains some lesser known or nontraditional re-sults; for instance, Tsen's results on solubility of sys-tems of polynomial equations with a [..]

Features

Nicely written comprehensive survey of classical al-gebra Includes unique collection of topics Authorprovides enough detail that the only prerequisite isbasic knowledge of algebra

Contents

Foreword.- Ordered fields and real fields.- Hilbert'sseventeenth problem and the real nullstellensatz.-Orders and quadratic forms.- Absolute valueson fields.- Residue class degree and ramification in-dex.- Local fields.- Witt vectors.- The tsen rank ofa field.- Fundamentals of modules.- Wedderburntheory.- Crossed products.- The brauer group ofa local field.- Local class field theory.- Semisimplerepresentations of finite groups.- The schurgroup of a field.- Appendix: problems and remarks.-Index.

Fields of interest

Algebra; Commutative Rings and Algebras; FieldTheory and Polynomials; Linear and Multilinear Al-gebras, Matrix Theory; Number Theory

Target groups

Advanced undergraduates, graduate students

Type of publication


Due January 2008

Original German edition published by Spektrum


39,95 €

ISBN 978-0-387-72487-4

R. Lowen, University of Antwerp, Belgium; A. Verschoren, Univer-

sity of Antwerp, Belgium (Eds.)

Foundations of Generic

Optimization, Volume 2:

Applications of Fuzzy Control,

Genetic Algorithms and Neural

Networks

This is a comprehensive overview of the basics offuzzy control, which also brings together some re-cent research results in soft computing, in particularfuzzy logic using genetic algorithms and neural net-works. This book offers researchers not only a solidbackground but also a snapshot of the current stateof the art in this field.

Features

Timeliness of the comprehensive overview of fuzzycontrol Large body of authors, specialists in the fieldArticles with varied range of applications Specialistup-to-date research articles + comprehensive intro-duction to the field in one and the same work

Fields of interest

Genetics and Population Dynamics; Mathematics ofComputing; Discrete Mathematics in Computer Sci-ence; Combinatorics; Optimization

Target groups

Researchers and professionals in soft computing,in particular in development of theory and applica-tions of fuzzy logic, genetic algorithms and neuralnetworks

Type of publication

Contributed volume

Due October 2007

2008. X, 355 p. (Mathematical Modelling: Theory and Applica-


69,95 €

ISBN 978-1-4020-6667-2

D.G. Luenberger, Stanford University, CA, USA; Y. Ye, Stanford

University, CA, USA

Linear and Nonlinear Programming

"Linear and Nonlinear Programming" is considereda classic textbook in Optimization. While it is a clas-sic, it also reflects modern theoretical insights. Theseinsights provide structure to what might otherwisebe simply a collection of techniques and results, andthis is valuable both as a means for learning existingmaterial and for developing new results. One ma-jor insight of this type is the connection between thepurely analytical character of an optimization prob-lem, expressed perhaps by properties of the necessaryconditions, and the behavior of algorithms used tosolve a problem. This was a major theme of the firstand second editions. Now the third edition has beencompletely updated with recent Optimization Meth-ods. The new co-author, Yinyu Ye, has written chap-ters and chapter material on a number of these areasincluding Interior Point Methods.

Features

The 1st edition of this book is considered a classic;the 2nd edition expanded on the theme, and the 3rdedition will update the material with the help of anew co-author, Yinyu Ye Provides a structure forlearning existing material, and insight for developingnew results Useful to analysts, operations researchersand management experts in many fields

Contents

Introduction.- Part I: Linear Programming.- 2. Ba-sic Properties of Linear Programs.- 3. The SimplexMethod.- 4. Duality.- 5. Interior-Point Methods.- 6.Transportation and Network Flow Problems.- PartII: Unconstrained Problems.-7. Basic Descent Meth-ods.- 8. Conjugate Direction Methods.- 9. Quasi-Newton Methods.- Part III: Constrained Minimiza-tion.- 10. Constrained Minimization Conditions.-11. Primal Methods.- 12. Penalty and Barrier Meth-ods.- 13. Dual and Cutting Plane Methods.- 14. Pri-mal-Dual Methods.- Appendix A: Mathematical Re-view.- A.1. Sets.- A.2. Matrix Notation.- A.3. [..]

Fields of interest

Operations Research, Mathematical Programming;Operation Research/Decision Theory; Optimization;Mathematical Modeling and Industrial Mathemat-ics; Engineering Economics, Organization, Logistics,Marketing; Industrial and Production Engineering

Target groups

System analysts, operations researchers, numericalanalysts, management scientists, and other specialistsfrom practical optimization applications

Type of publication


Due January 2008



79,95 €

ISBN 978-0-387-74502-2


Ü. Lumiste, University of Tartu, Estonia

Semiparallel Submanifolds in Space

Forms

This book offers a comprehensive survey to date ofthe theory of semiparallel submanifolds. Introducedin 1985, semiparallel submanifolds have emergedas an important area of research within differen-tial geometry and topology. Lumiste beginswith the necessary background on: symmetric andsemisymmetric Riemannian manifolds, smoothmanifolds in space forms, and parallel submanifolds.Semiparallel submanifolds are introduced in Chap-ter 4, where characterizations of their class and sev-eral subclasses are given. In later chapters Lumisteintroduces the concept of main symmetric orbit andpresents all known results concerning umbilic-likemain symmetric orbits. Generalizations, such as k-semiparallel submanifolds and Ric-semiparallel hy-persurfaces, are also studied. SemiparallelSubmanifolds in Space Forms will appeal to both re-searchers and graduate students.

Features

Author has published more than 40 papers in thefield, so readers are assured of an authoritative treat-ment Covers both necessary background and cuttingedge research in the field Goes beyond common ex-amples, such as Euclidean space, to consider the ex-amples of Segre, Plucker, and Veronese

Contents

Introduction.- Preliminaries.- Submanifolds in SpaceForms.- Parallel Submanifolds.- Semiparallel Sub-manifolds.- Normally Flat Semiparallel Submani-folds.- Semiparallel Surfaces.- Semiparallel Three-Dimensional Submanifolds.- Decomposition The-orems.- Umbilic-Likeness of Main Symmetric Or-bits.- Geometric Descriptions in General.- IsometricSemiparallel Immersions of Riemannian Manifoldsof Conullity Two.- Some Generalizations.- Bibliogra-phy.- Index.

Fields of interest

Differential Geometry; Topology; MathematicalMethods in Physics

Target groups

Geometers, theoretical physicists, topologists, physi-cists

Type of publication

Monograph

Due March 2008


62,95 €

ISBN 978-0-387-49911-6

G. Lusztig, Massachusetts Institute of Technology, Cambridge,

MA, USA

Introduction to Quantum Groups

The quantum groups discussed in this book are thequantized enveloping algebras introduced by Drin-feld and Jimbo in 1985, or variations thereof. It isshown that these algebras have natural integral formswhich can be specialized at roots of 1 and yield newobjects which include quantum versions of the se-mi-simple groups over fields of positive characteris-tic. The theory of quantum groups has led to a new,extremely rigid structure, in which the objects of thetheory are provided with canonical basis with ratherremarkable properties. The book contains an exten-sive treatment of the theory of canonical bases in theframework of perverse sheaves. The theory devel-oped in the book includes the case of quantum affineenveloping algebras and, more generally, the quan-tum analogs of the Kac-Moody Lie algebras. Thisbook will be of interest to mathematicians workingin the representation theory of Lie groups and Lie al-gebras, knot theorists and to theoretical physicistsand graduate students. Since large [..]

Features

Written in a clear and concise manner Introducesgraduate students and researchers in both mathe-matics and physics to the subject Includes founda-tional material as well as recent calculations

Contents

Preface.- The Drinfeld-Jimbo Algebra U.- Geomet-ric Realization of f.- Part III. Kashiwara’s Operatorsand Applications.- Canonical Basis of U.- Change ofRings.- Braid Group Action.- Index of Notation.- In-dex of Terminology.

Fields of interest

Group Theory and Generalizations; QuantumPhysics; Topological Groups, Lie Groups; Algebra;Mathematical Methods in Physics

Target groups

Graduate students and researchers in mathematicsand physics interested in quantum groups

Type of publication


Due May 2008

Originally published as volume 110 in the series: Progress in

Mathematics

2008. XII, 342 p. 14 illus. (Modern Birkhäuser Classics) Softcover

30,80 €

ISBN 978-0-8176-4716-2

F. Lutz, TU Berlin, Germany

Triangulated Manifolds

Written from a Computational Topology point-of-view the intention of this book is to provide the read-er with an easy and up-to-date access to a wide rangeof topics concerning topological, combinatorial, andgeometric aspects of triangulated manifolds. As acompendium of many classical results, complement-ed with new material, the book is equipped with anextensive bibliography. An atlas of small trian-gulations is also included. The list of topics compris-es: classification results, PL structures and Hauptver-mutung, recognition techniques, computation of in-variants, explicit constructions of examples, enumer-ation procedures, f-vectors of triangulations, ver-tex-minimal, vertex-transitive, and centrally sym-metric examples, realizability issues, polytopality andtightness of triangulations.

Fields of interest

Algorithms; Combinatorics; Global Analysis andAnalysis on Manifolds

Type of publication

Monograph

Due July 2008


79,95 €

ISBN 978-3-540-34502-2


S. Lynch, Manchester Metropolitan University, Manchester, UK

Dynamical Systems with

Applications using Mathematica®

The book provides an introduction to the theory ofdynamical systems with the aid of the Mathemati-ca computer algebra package. It has a very hands-on approach and takes the reader from basic theo-ry to recently published research material. Empha-sized throughout are numerous applications to biol-ogy, chemical kinetics, economics, electronics, epi-demiology, nonlinear optics, mechanics, populationdynamics, and neural networks. Mathematica's sym-bolic, numerical, and graphical capabilities makeit ideal for the study of nonlinear dynamical sys-tems. An introductory chapter provides completetutorials on how to use Mathematica's text-basedinput commands and palettes, enabling new usersto become familiar with the program, while provid-ing a good reference source for experts. WorkingMathematica notebooks will be available at http://library.wolfram.com/infocenter/Books/Applied-Mathematics/. Throughout the book, the author hasfocused on breadth of coverage rather than fine de-tail, with theorems and proofs [..]

Features

Book has a very hands-on approach and takes thereader from basic theory to recently publishedresearch material Exercises are included at the endof every chapter Applications to many disciplines:biology, chemical kinetics, economics, electronics,epidemiology, nonlinear optics, mechanics, popula-tion dynamics, and neural networks The introducto-ry chapter provides complete tutorials on how to use[..]

Contents

Preface.- A Tutorial Introduction to Mathematica.-Differential Equations.- Planar Systems.- InteractingSpecies.- Limit Cycles.- Hamiltonian Systems, Lya-punov Functions, and Stability.- Bifurcation Theo-ry.- Three-Dimensional Autonomous Systems andChaos.- Poincaré Maps and Nonautonomous Sys-tems in the Plane.- Local and Global Bifurcations.-The Second Part of David Hilbert's Sixteenth Prob-lem.- Linear Discrete Dynamical Systems.- Nonlin-ear Discrete Dynamical Systems.- Complex Itera-tive Maps.- Electromagnetic Waves and Optical Res-onators.- Fractals and Multifractals.- Chaos Controland [..]

Fields of interest

Applications of Mathematics; Ordinary DifferentialEquations; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Appl.Mathematics/Com-putational Methods of Engineering; Numerical andComputational Methods in Engineering; Game The-ory, Economics, Social and Behav. Sciences

Target groups

Senior undergraduate and graduate students as wellas working scientists in applied mathematics, thenatural sciences, and engineering

Type of publication


Due November 2007


49,90 €

ISBN 978-0-8176-4482-6

A. Macias, Universidad Autonoma Metropolitana-Iztapalapa,

Mexico D.F., Mexico; C. Lämmerzahl, University of Bremen, Bre-

men, Germany; D. Nuñez, UNAM, Instituto de Ciencias Nucle-

ares, Mexico D. F., Mexico; F.J. Uribe, Universidad Autonoma

Metropolitana-Iztapalapa, Mexico D.F., Mexico; L. Garcia-Col-

in, Universidad Autonoma Metropolitana-Iztapalapa, Mexico

D.F., Mexico; E. Díaz-Herrera, Universidad Autonoma Metropoli-

tana-Iztapalapa, Mexico D.F., Mexico; J.L. Hernández-Pozos, Uni-

versidad Autonoma Metropolitana-Iztapalapa, Mexico D.F., Mex-

ico; R. Olayo-Gonzalez, Universidad Autonoma Metropolitana-Iz-

tapalapa, Mexico D.F., Mexico (Eds.)

Second Mexican Meeting on

Mathematical and Experimental

Physics

The Second Mexican Meeting on Mathematical andExperimental Physics brought together scientistsfrom many different fields. The Meeting was divid-ed into three Symposia: (i) Materials Science and Ap-plied Physics, (ii) Statistical Physics and Beyond, (iii)Gravitation and Cosmology. This CD-ROM containsthe complete proceedings from all three Symposia.The Symposia are also available separately as print-ed books, published in AIP Conference ProceedingsVolumes 757, 758, and 759.

Fields of interest

Mathematical and Computational Physics; QuantumPhysics; Astronomy, Astrophysics and Cosmology;Relativity and Cosmology

Target groups

Scientists, graduate students and researchers inter-ested in the fields of chemical physics, numericalmodeling of complex physics, nanoscale physics andbiological systems; gravitational physics, string the-ory, numerical relativity, and cosmology; opticalproperties and processing of materials, physics ofbiomolecules, or complex fluids

Type of publication

Application software

Due November 2007

2006. CD-ROM. (AIP Conference Proceedings, Vol. 757-759)

156,00 €

ISBN 978-0-7354-0293-5


U. Majer, University of Göttingen, Germany; T. Sauer, California

Institute of Technology, Pasadena, CA, USA; K. Bärwinkel, Univer-

sity of Osnabrück, Germany (Eds.)


Foundations of Physics, 1898-1914:

Classical, Relativistic and Statistical

Mechanics

The first part of this volume documentsHilbert’s efforts in the period 1898-1910 to baseall known physics (including thermodynamics,hydrodynamics and electrodynamics) on classi-cal mechanics. This period closes with a lecturecourse ‘Mechanik der Kontinua’ (1911), in whichHilbert considers the consequences of the new prin-ciple of special relativity for our understandingof physics. The second part starts with the lecturecourse ‘Kinetische Gastheorie’ (1911/12), which in-troduces a new approach to problems of statisticalphysics. The lecture course ‘Molekulartheorie derMaterie’ (1913) deals with a topic that was of greatimportance to Hilbert, returning to it repeatedly. Thelast lecture course contained in this volume, ‘Statis-tische Mechanik’ (1922) presents a very perceptivecomparison of the different approaches of Maxwell,Boltzmann, Gibbs etc. to the foundational problemsof statistical physics. It is a paradigm of logical analy-sis and conceptual clarity.

Contents

Introduction.- Part A: Classical Mechan-ics.- Overview of the texts on mechanics.- Chapter1: Hilbert's Lectures on Mechanics from 1898/99.-Chapter 2: Hilbert's Lectures on Stability from 1903.-Chapter 3: Hilbert's Lectures on Continuum Me-chanics from 1905/06.- Chapter 4: Hilbert's Lectureson Mechanics in a New Perspective, 1911 and 1924.-Part B: Kinetic Theories of Matter.- Overview of thetexts.- Hilbert's Lectures on Kinetic Theory of Gas-es from 1911/12.- Chapter 6: Hilbert's Lectures onMolecular Theory of Matter from 1912/13.-Chapter7: Hilbert's Lectures on Statictical [..]

Fields of interest

History of Mathematics; Mathematical and Compu-tational Physics; Mechanics

Target groups

Historians and philosophers of physics, andresearchers in the pertinent physical theories.

Type of publication

Collected works

Due April 2008

2008. Approx. 650p. Hardcover

89,95 €

ISBN 978-3-540-40549-8

U. Majer, University of Göttingen, Germany; T. Sauer, California

Institute of Technology, Pasadena, CA, USA; H.-J. Schmidt, Uni-

versity of Osnabrück, Germany (Eds.)


Foundations of Physics, 1915-1927:

Relativity, Quantum Theory and

Epistemology

This Volume has three sections, General Relativi-ty, Epistemological Issues, and Quantum Mechan-ics. The core of the first section is Hilbert’s twosemester lecture course on ‘The Foundations ofPhysics’ (1916/17). This is framed by Hilbert’s pub-lished ‘First and Second Communications’ on the‘Grundlagen der Physik’ (1915, 1917). The sectioncloses with a lecture on the new concepts of spaceand time held in Bucharest in 1918. The epistemo-logical issues concern the principle of causality inphysics (1916), the intricate relation between natureand mathematical knowledge (1921), and the subtlequestion whether what Hilbert calls the ‘world equa-tions’ are physically complete (1923). The last sectiondeals with quantum theory in its early, advanced andmature stages. Hilbert held lecture courses on themathematical foundations of quantum theory twice,before and after the breakthrough in 1926. Thesedocuments bear witness to one of the most dramaticchanges in the foundations of science.

Contents

Introduction.- Part C: General Relativity.- Overviewof the texts on General Relativity.- Hilbert's Lectureson The Foundations of Physics from 1915.- Hilbert'sLectures on The Foundations of Physics, Main Lec-ture 1916/17.- Hilbert's Lectures on FoP, SecondCommunication 1916.- Hilbert's Lectures on Spaceand Time (Bukarest), 1918.- Epistemological Issues.-Overview of the texts.- Hilbert's Lectures on TheCausality Principle from 1916.- Hilbert's Lectures onNature and Mathematical Knowledge from 1921.-Hilbert's Lectures on The World Equations from1923.-Part E: Quantum Mechanics.- [..]

Fields of interest

History of Mathematics; Mathematical and Compu-tational Physics; Mechanics; Philosophy of Science

Target groups

Historians and philosophers of physics, and re-searchers in the pertinent physical theories

Type of publication

Collected works

Due February 2008


89,95 €

ISBN 978-3-540-20606-4

D. Makinson, London School of Economics, UK

Sets, Logic and Maths for

Computing

This book equips the student with essential intellec-tual tools that are needed from the very beginningof university studies in computing. These consistof abilities and skills - to pass from a concrete prob-lem to an abstract representation, reason with theabstract structure coherently and usefully, and re-turn with booty to the specific situation. The mostbasic and useful concepts needed come from theworlds of sets (with also their employment as rela-tions & functions), structures (notably trees& graphs), & combinatorics (alias princi-ples of counting, with their application in the worldof probability). Recurring in all these are 2 kinds ofinstrument of proof – logical (notably inference bysuppositions, reductio ad absurdum, & proof bycases), & mathematical (notably induction onthe positive integers & on well-founded struc-tures). From this book the student can assimilate thebasics of these worlds & set out on the paths ofcomputing with understanding & a [..]

Features

Only minimal background in mathematics necessaryCareful selection of material that is really neededby students in the first two years of their universitylife in Computer Science and Information SciencesBrings out the interplay between qualitative thinkingand calculation Teaches the material as a languagefor thinking in, as much as knowledge to be gained

Contents

Before the Beginning.- Do I really need to knowabout this?.- Proving and disproving: Logical tech-niques.- Proving and disproving: Mathematical tech-niques.- First Steps.- Flat set theory.- Families ofsets.- Relations.- Functions.- Structures.- Order.-Trees.- Graphs.- Logic.- Truth-functional connec-tives.- Quantifiers.- Counting.- The pigeonhole prin-ciples.- The addition and multiplication rules.- Selec-tion rules.- Probability.- The Kolmogorov axioms forfinitely additive probability.- Combining combina-torics and probability

Fields of interest

Discrete Mathematics in Computer Science; Mathe-matical Logic and Formal Languages; Symbolic andAlgebraic Manipulation; Probability and Statistics inComputer Science; Computational Mathematics andNumerical Analysis

Target groups

Undergraduate students

Type of publication


Due May 2008

2008. Approx. 200 p. Also available online. (Undergraduate Top-

ics in Computer Science) Softcover

26,95 €

ISBN 978-1-84628-844-9


A. Mallios, University of Athens Panepistimioupolis, Athens,

Greece

Modern Differential Geometry in

Gauge Theories

Yang-Mills Fields, Volume II

Differential geometry, in the classical sense, is devel-oped through the theory of smooth manifolds. Mod-ern differential geometry from the author’s perspec-tive is used in this work to describe physical theo-ries of a geometric character without using any no-tion of calculus (smoothness). Instead, an axiomat-ic treatment of differential geometry is presentedvia sheaf theory (geometry) and sheaf cohomology(analysis). Using vector sheaves, in place of bundles,based on arbitrary topological spaces, this uniqueapproach in general furthers new perspectives andcalculations that generate unexpected potential ap-plications. Modern Differential Geometry in GaugeTheories is a two-volume research monograph thatsystematically applies a sheaf-theoretic approach tosuch physical theories as gauge theory. Volume 1 fo-cused on Maxwell fields. Continuing in Volume II,the author extends the application of his sheaf-theo-retic approach to Yang–Mills fields in general. Thetext contains a wealth of detailed and [..]

Features

Original, well-written work of interest Presentsfor the first time (physical) field theories writtenin sheaf-theoretic language Contains a wealth ofminutely detailed, rigorous computations, ususallyabsent from standard physical treatments Author'smastery of the subject and the rigorous treatment ofthis text make it invaluable

Contents

General Preface.- Preface to Volume II.- Acknowl-edgements.- Contents of Volume I.- Part II. Yang-Mills Fields-General Theory: Abstract Yang-MillsTheory.- Moduli Spaces of A-connections of Yang-Mills Fields.- Geometry of Yang-Mills A-connec-tions.- Part III. General Relativity: General Relativity,as a Gauge Theory-Singularities.- References.- Indexof Notations.- Index.

Fields of interest

Differential Geometry; Mathematical Methods inPhysics; Field Theory and Polynomials; ElementaryParticles, Quantum Field Theory; Classical Electro-dynamics, Wave Phenomena; Global Analysis andAnalysis on Manifolds

Target groups

Physicists, mathematicians; graduate and advancedundergraduate students specializing in applicationsof differential geometry to physical theories such asgeneral relativity, elementary particle physics andquantum gravity

Type of publication

Monograph

Due August 2008


98,00 €

ISBN 978-0-8176-4379-9

R. Mansuy, Université Paris VI, Paris, France; M. Yor, Université

Paris VI, Paris, France

Aspects of Brownian Motion

Stochastic calculus and excursion theory are very ef-ficient tools to obtain either exact or asymptotic re-sults about Brownian motion and related process-es. The emphasis of this book is on special classes ofsuch Brownian functionals as: - Gaussian subspacesof the Gaussian space of Brownian motion; - Brow-nian quadratic funtionals; - Brownian local times, -Exponential functionals of Brownian motion withdrift; - Winding number of one or several Brownianmotions around one or several points or a straightline, or curves; - Time spent by Brownian motion be-low a multiple of its one-sided supremum. Besides itsobvious audience of students and lecturers the bookalso addresses the interests of researchers from coreprobability theory out to applied fields such as poly-mer physics and mathematical finance.

Features

Senior author Marc Yor is a world-leader in the fieldof Brownian motion and martingales Thorough up-date and revision of previously published ETH Lec-tures

Contents

The Gaussian Space of BM.- Quadratic Function-als of Brownian Motion.- Ray-Knight Theoremsfor Brownian Local Times.- On Squared Bessel Pro-cesses.- On the Ciesielski-Taylor Identities.- On theWinding Number of Planar BM.- Exponential Func-tionals of Brownian Motion.- Some Asymptotic Lawsfor Multidimensional Brownian Motion.- Some Ex-tensions of Paul Lévy's Arc Sine Law.- Further Re-sults about Perturbed Reflecting Brownian Motion.On Principal Values of Brownian and Bessel LocalTimes.- Probabilistic Representations of the Rie-mann Zeta Function.

Fields of interest


Target groups

Students and lecturers of probability (stochastic cal-culus, distributional computations)

Type of publication


Due March 2008


39,95 €

ISBN 978-3-540-22347-4

A.M. Mathai, McGill University, Montreal, QC, Canada; H.J.

Haubold, Office for Outer Space Affairs, UN, Vienna, Austria

Special Functions for Applied

Scientists

Chapter 1 introduces elementary classical specialfunctions. Gamma, beta, psi, zeta functions, hyper-geometric functions and the associated special func-tions, generalizations to Meijer's G and Fox's H-functions are examined here. Discussion is confinedto basic properties and selected applications. Intro-duction to statistical distribution theory is provid-ed. Some recent extensions of Dirichlet integrals andDirichlet densities are discussed. A glimpse into mul-tivariable special functions such as Appell's functionsand Lauricella functions is part of Chapter 1. Specialfunctions as solutions of differential equations areexamined. Chapter 2 is devoted to fractional calcu-lus. Fractional integrals and fractional derivatives arediscussed. Their applications to reaction-diffusionproblems in physics, input-output analysis, and Mit-tag-Leffler stochastic processes are developed. Chap-ter 3 deals with q-hyper-geometric or basic hyperge-ometric functions. Chapter 4 covers basic hypergeo-metric functions and [..]

Features

Provides the required mathematical tools forresearchers active in the physical sciences Presents afull suit of elementary functions for scholars at PhDlevel The text and exercises have been class-testedover 5 different years

Contents

Basic Ideas of Special Functions and Statistical Dis-tributions.- Mittag-Leffler Functions and Frac-tional Calculus.- An Introduction to q-Series.-Ramanujan's Theories of Theta and Elliptic Func-tions.- Lie Group and Special Functions.- Applica-tions to Density Estimation. - Applications to OrderStatistics.- Applications to Astrophysics Problems.-An Introduction to Wavelet Analysis.- Jacobians ofMatrix Transformations.- Special Functions of Ma-trix Argument.

Fields of interest

Mathematical Methods in Physics; Mathematical andComputational Physics; Astrophysics

Target groups

Researchers and graduate students in the physicalsciences

Type of publication

Monograph

Due April 2008


76,25 €

ISBN 978-0-387-75893-0


W.M. McClain, Wayne State University, Detroit, MI, USA

Symmetry Theory in Molecular

Physics with Mathematica

After a few initial chapters on the basics of Mathe-matica, the logic of the book is controlled by grouptheory. It continues to teach Mathematica by exam-ple as the need arises, so an important use is alwaysat hand for any new operator that is taught. To manyscience students, this is a greatly preferred way oflearning a new computer language. The main partof the book follows a strictly logical developmentthat should be acceptable to the most rigorous mind-ed people, while maintaining an engaging style inthe spirit of Numerical Recipes by Press, Flannery,Teukolsky, and Vetterling. The essence of this styleis to be just a little opinionated about good and badways to calculate things, but to give such advice with-out provoking offense, and always on an objectivebasis. After this comes the development of classesand irreducible representations, culminating in acomplete proof that for every group the number ofclasses is equal to the number of representations, sothat all character tables must [..]

Features

The book culminates with chapters that use permu-taion groups to analyze flexible molecules, a topicwhich is on the frontier of current research and isnot covered in any commonly adopted textbook Thebook makes use of modern methods of Mathematicato develop the subject of group theory as applied tomolecular structure and to automate the complicatedand tedious calculations involved The author beginsthe [..]

Fields of interest

Mathematical Methods in Physics; Mathematical andComputational Physics; Group Theory and General-izations; Theoretical and Computational Chemistry;Atomic and Molecular Structure and Spectra; Physi-cal Chemistry

Target groups

Graduate and advanced undergraduate students,physicists and chemists as well as people with an in-terest in learning Mathematica on their own

Type of publication


Due December 2007

2008. Approx. 500 p. With CD-ROM. Hardcover

68,55 €

ISBN 978-0-387-73469-9

R.A. Meyers (Ed.)

Encyclopedia of Complexity and

Systems Science

**See Long Information Text**

Features

Assembles for the first time the concepts and toolsfor analyzing complex systems in a wide range offields Serves as an interdisciplinary reference link-ing fundamental concepts of mathematics and com-putational sciences to applications in the physicalsciences, engineering, biomedicine, economics andthe social sciences Edited by renowned ency-clopedia editor Robert A. Meyers together with a dis-tinguished [..]

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Probability Theory and StochasticProcesses; Chemistry/Food Science, general; Bioin-formatics; Economics general; Geosciences, general

Target groups

The Encyclopedia is directed toward upperdivision undergraduate and graduate students andprofessors at universities and colleges world-wide,researchers and professionals in federal governmentlaboratories such as NOAA, EPA, NIH, DOT, DoD,DoE, Homeland Security, FEMA, Corp of Engineers,as well as similar functions at state organizations;aerospace, instrument and controls firms; pharma-ceuticals companies; computer hardware andsoftware developers; financial analysts; [..]

Type of publication

Encyclop(a)edia

Due April 2009

2009. Approx. 7500 p. (10-volume work). Also available online.

Hardcover

3.495,00 €

ISBN 978-0-387-75888-6

A.N. Michel, University of Notre Dame, Notre Dame, IN, USA; L.

Hou, St. Cloud State University, Saint Cloud, MN, USA; D. Liu, Uni-

versity of Illinois, Chicago, IL, USA

Stability of Dynamical Systems

Continuous, Discontinuous, and Discrete Systems

Filling a gap in the literature, this textbook presentsthe first comprehensive stability analysis of all themajor types of system models: finite-dimensionaland infinite-dimensional systems; continuous-timeand discrete-time systems; continuous continu-ous-time and discontinuous continuous-time sys-tems; and hybrid systems involving a mixture of con-tinuous and discrete dynamics. Throughoutthe book, the applicability of the developed theory isdemonstrated by means of many specific examplesand applications to important classes of systems, in-cluding digital control systems, nonlinear regulatorsystems, pulse-width-modulated feedback controlsystems, artificial neural networks (with and withouttime delays), digital signal processing, a class of dis-crete-event systems (with applications to manufac-turing and computer load balancing problems) anda multicore nuclear reactor model. The bookcovers the following four general topics: * Represen-tation and modeling of dynamical systems of the [..]

Features

First unified source of the analysis of all the majortypes of dynamical systems models Many specific ex-amples and applications to important classes of sys-tems, including digital control systems, nonlinearregulator systems, pulse-width-modulated feedbackcontrol systems, artificial neural networks, digitalsignal processing, a class of discrete-event systems,and a multicore nuclear reactor model Real-world[..]

Contents

Preface.- Introduction.- Dynamical Systems.- Funda-mental Theory: The Principal Stability and Bound-edness Results on Metric Spaces.- Fundamental The-ory: Specialized Stability and Boundedness Resultson Metric Spaces.- Applications to a Class of Dis-crete-Event Systems.- Finite-Dimensional DynamicalSystems.- Finite-Dimensional Dynamical Systems:Specialized Results.- Applications to Finite-Dimen-sional Dynamical Systems.- Infinite-DimensionalDynamical Systems.- Index

Fields of interest

Systems Theory, Control; Control Engineering; Or-dinary Differential Equations; Partial DifferentialEquations; Difference and Functional Equations

Target groups

Graduate students, researchers, and practitioners inengineering, applied mathematics, computer science,physics, chemistry, biology, and economics

Type of publication


Due December 2007

2008. Approx. 520 pp. 44 illus. (Systems & Control: Foundations

& Applications) Hardcover

64,90 €

ISBN 978-0-8176-4486-4


A.A. Minai, University of Cincinnati, OH, USA; Y. Bar-Yam, New

England Complex Systems Institute, Cambridge; USA (Eds.)

Unifying Themes in Complex

Systems

Vol IV: Proceedings of the Fourth International Conference on

Complex Systems

In June of 2002, over 500 professors, students andresearchers met in Boston, Massachusetts for theFourth International Conference on Complex Sys-tems. The attendees represented a remarkably di-verse collection of fields: biology, ecology, physics,engineering, computer science, economics, psychol-ogy and sociology, The goal of the conference was toencourage cross-fertilization between the many dis-ciplines represented and to deepen understanding ofthe properties common to all complex systems. Thisvolume contains 43 papers selected from the morethan 200 presented at the conference. Topics include:cellular automata, neurology, evolution, comput-er science, network dynamics, and urban planning.About NECSI: For over 10 years, The New EnglandComplex Systems Institute (NECSI) has been instru-mental in the development of complex systems sci-ence and its applications. NECSI conducts research,education, knowledge dissemination, and communi-ty development around the world for the promotionof the study [..]

Contents

Introduction.- Part I: Methods.- Part II: Models.-Part III Applications.

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Artificial Intelligence (incl.Robotics); Operation Research/Decision Theory;Game Theory, Economics, Social and Behav. Sci-ences

Target groups

researchers.

Type of publication

Monograph

Due October 2007

Jointly published with NECSI


129,95 €

ISBN 978-3-540-73848-0

R.M. Miró-Roig, Universitat de Barcelona, Spain

Determinantal Ideals

Determinantal ideals are ideals generated by minorsof a homogeneous polynomial matrix. Some classicalideals that can be generated in this way are the idealof the Veronese varieties, of the Segre varieties, andof the rational normal scrolls. Determinantal idealsare a central topic in both commutative algebra andalgebraic geometry, and they also have numerousconnections with invariant theory, representationtheory, and combinatorics. Due to their importantrole, their study has attracted many researchers andhas received considerable attention in the literature.In this book three crucial problems are addressed:CI-liaison class and G-liaison class of standard de-terminantal ideals; the multiplicity conjecture forstandard determinantal ideals; and unobstructednessand dimension of families of standard determinantalideals. Winner of the Ferran Sunyer i Balaguer Prize2007.

Features

Winner of the Ferran Sunyer i Balaguer Prize 2007Gives new insights in open problems in liaison theo-ry and Hilbert schemes Publishes new results on de-terminantal ideals and gives an overview of recentdevelopments

Contents

Introduction.- 1. Background.- 2. CI-Liaison and G-Liaison of Standard Determinantal Ideals.- 3. Multi-plicity Conjecture for Standard Determinantal Ide-als.- 4. Unobstructedness and Dimension of Familiesof Standard Determinantal Ideals.- 5. DeterminantalIdeals, Symmetric Determinantal Ideals and OpenProblems.- Bibliography.- Index.

Fields of interest

Commutative Rings and Algebras; Combinatorics

Target groups

Graduates, postgraduates and researchers

Type of publication

Monograph

Due November 2007


cover

39,90 €

ISBN 978-3-7643-8534-7

S.K. Mishra, G.B. Pant University of Agriculture & Technology,

Pantnagar, India; S. Wang, Chinese Academy of Sciences, Beijing,

China; K.K. Lai, City University of Hong Kong, Hong Kong SAR

V-Invex Functions and Vector

Optimization

V-INVEX FUNCTIONS AND VECTOR OPTI-MIZATION summarizes and synthesizes an aspectof research work that has been done in the area ofGeneralized Convexity over the past several decades.Specifically, the book focuses on V-invex functionsin vector optimization that have grown out of thework of Jeyakumar and Mond in the 1990’s. V-invexfunctions are areas in which there has been much in-terest because it allows researchers and practitionersto address and provide better solutions to problemsthat are nonlinear, multi-objective, fractional, andcontinuous in nature. Hence, v-invex functions havepermitted work on a whole new class of vector opti-mization applications. There has been considerablerelated work on vector optimization by some high-ly distinguished researchers including Kuhn, Tuck-er, Geoffrion, Mangasarian, Von Neuman, Schaiible,Ziemba, etc. The authors will integrate this relatedresearch into the book and demonstrate the widecontext from which the area has grown and contin-ues to grow.

Features

The book is a well-synthesized, accessible, and us-able treatment of the area for students, researchersand practitioners in OR, optimization, applied math-ematics, and engineering, and their work related toa wide range of problems which including financialinstitutions, logistics, transportation, traffic manage-ment, etc. Throughout the optimization community,there is considerable interest in V-invex methods [..]

Contents

Preface.- General Introduction.- V-Invexity In Non-linear Multiobjective Programming.- Multiobjec-tive Fractional Programming.- Multiobjective Non-smooth Programming.- Composite MultiobjectiveNonsmooth Programming.- Continuous-Time Pro-gramming.- References.- Index.

Fields of interest

Optimization; Calculus of Variations and OptimalControl; Optimization; Operation Research/DecisionTheory; Operations Research, Mathematical Pro-gramming; Technology Management; MathematicalModeling and Industrial Mathematics

Target groups

Graduate students and researchers in applied math-ematics, optimization, OR and statistics - also prac-titioners in financial institutes, logistics, transporta-tion and traffic management

Type of publication

Monograph

Due November 2007

2008. Approx. 200 p. (Springer Optimization and Its Applications,

Vol. 14) Hardcover

69,95 €

ISBN 978-0-387-75445-1


Y. Mishura, Kiev National Taras Shevchenko University, Kiev,

Ukraine

Stochastic Calculus for Fractional

Brownian Motion and Related

Processes

The theory of fractional Brownian motion and oth-er long-memory processes are addressed in this vol-ume. Interesting topics for PhD students and special-ists in probability theory, stochastic analysis and fi-nancial mathematics demonstrate the modern lev-el of this field. Among these are results about Levycharacterization of fractional Brownian motion,maximal moment inequalities for Wiener integralsincluding the values 0<H<1/2 of Hurst index,the conditions of existence and uniqueness of solu-tions to SDE involving additive Wiener integrals,and of solutions of the mixed Brownian - fraction-al Brownian SDE. The author develops optimal fil-tering of mixed models including linear case, andstudies financial applications and statistical inferencewith hypotheses testing and parameter estimation.She proves that the market with stock guided by themixed model is arbitrage-free without any restrictionon the dependence of the components and deducesdifferent forms of the Black-Scholes equation for [..]

Contents

Preface.- 1. Wiener Integration with Respect to Frac-tional Brownian Motion.- 2. Stochastic Integrationwith Respect to fBm and Related Topics.- 3. Stochas-tic Differential Equations Involving Fractional Brow-nian Motion.- 4. Filtering in Systems with Fraction-al Brownian Noises.- 5.Financial Applications ofFractional Brownian Motion.- 6. Statistical Infer-ence with Fractional Brownian Motion.- A. Mandel-brot-Van Ness Representation: Some Related Calcu-lations.- B. Approximation of Beta Integrals and Esti-mation of Kernels.- References.- Index.

Fields of interest

Probability Theory and Stochastic Processes; GameTheory, Economics, Social and Behav. Sciences

Target groups

Researchers and graduate students in probabilitytheory, stochastic analysis, and financial mathemat-ics

Type of publication

Monograph

Due December 2007

2008. Approx. 410 p. (Lecture Notes in Mathematics, Vol. 1929)

Softcover

49,95 €

ISBN 978-3-540-75872-3

A. Misra, Indian Instritute of Technology, Roorkee, India (Ed.)

Theoretical High Energy Physics

International Workshop on Theoretical High Energy Physics

The theme of the workshop was understanding thevarious interactions in the universe, unificationof these interactions, and the study of various cos-mological aspects such as black holes. In short, theworkshop was devoted to understanding why theuniverse is the way it is and if there is a unifying un-derlying fundamental theory.

Fields of interest

Physics beyond the Standard Model; Quantum Com-puting, Information and Physics; Relativity and Cos-mology

Target groups

advanced graduate students and researchers alike inall branches of theoretical and experimental particlephysics, cosmology, and quantum gravity includingstring theory

Type of publication

Proceedings

Due December 2007

2007. Approx. 380 p. (High Energy Physics, Vol. 939) Softcover

114,75 €

ISBN 978-0-7354-0451-9

R. Moreno Díaz, Universidad de Las Palmas de Gran Canaria,

Spain; F. Pichler, Johannes Kepler University Linz, Austria; A.

Quesada Arencibia, Universidad de Las Palmas de Gran Canaria,

Spain (Eds.)

Computer Aided Systems Theory -

EUROCAST 2007

11th International Conference on Computer Aided Systems

Theory, Las Palmas de Gran Canaria, Spain, February 12-16,

2007, Revised Selected Papers

This book constitutes the thoroughly refereed post-proceedings of the 11th International Conference onComputer Aided Systems Theory, EUROCAST 2007,held in Las Palmas de Gran Canaria, Spain in Febru-ary 2007. The 144 revised full papers presented werecarefully reviewed and selected for inclusion in thebook. The papers are organized in topical sectionson formal approaches, Computation and Simulationin Modelling Biological Systems, Intelligent Infor-mation Processing, Computers in Education, GridComputing, Applied Formal Verification, CellularAutomata, Computer Vision, Heuristic ProblemSolving, Signal Processing Architectures, Roboticsand Robotic Soccer, Cybercars and Intelligent Vehi-cles and Artificial Intelligence Components.

Fields of interest

Simulation and Modeling; Pattern Recognition;Computer-Aided Engineering (CAD, CAE) and De-sign; Artificial Intelligence (incl. Robotics); Logicsand Meanings of Programs; Processor Architectures

Target groups


Type of publication

Proceedings

Due November 2007

2007. Approx. 1220 p. (Lecture Notes in Computer Science, Vol.

4739) Softcover

100,00 €

ISBN 978-3-540-75866-2


H. Mortveit, Virginia Polytechnic Institute and State University,

Blacksburg, VA, USA; C. Reidys, Nankai University, Tianjin, China

An Introduction to Sequential

Dynamical Systems

Sequential Dynamical Systems (SDS) are a class ofdiscrete dynamical systems which significantly gen-eralize many aspects of systems such as cellular au-tomata, and provide a framework for studying dy-namical processes over graphs. This text is the first toprovide a comprehensive introduction to SDS. Driv-en by numerous examples and thought-provokingproblems, the presentation offers good foundationalmaterial on finite discrete dynamical systems whichleads systematically to an introduction of SDS. Tech-niques from combinatorics, algebra and graph theo-ry are used to study a broad range of topics, includ-ing reversibility, the structure of fixed points and pe-riodic orbits, equivalence, morphisms and reduction.Unlike other books that concentrate on determiningthe structure of various networks, this book investi-gates the dynamics over these networks by focusingon how the underlying graph structure influences theproperties of the associated dynamical system. Thisbook is aimed at graduate students [..]

Features

First graduate textbook on Sequential DynamicalSystems Details seminal SDS research toward a gen-eral theory of discrete computer simulations, withapplications developed in government labs Versatileinterdisciplinary textbook relevant to applied mathe-maticians and computer scientists alike

Contents

Preface.- What is a Sequential Dynamical System?- AComparative Study.- Graphs, Groups, and Dynam-ical Systems.- Sequential Dynamical Systems overPermutations.- Phase-Space Structure of SDS andSpecial Systems.- Graphs, Groups, and SDS.- Com-binatorics of Sequential Dynamical Systems overWords.- Outlook.- References.- Index.

Fields of interest

Dynamical Systems and Ergodic Theory; Simulationand Modeling; Applications of Mathematics; Dis-crete Mathematics in Computer Science

Target groups

Graduate students and researchers in discrete math-ematics, dynamical systems theory, theoretical com-puter science, specifically computer simulation andnetwork theory and phenomena

Type of publication


Due November 2007

2008. XVI, 248 p. 20 illus. (Universitext) Softcover

46,95 €

ISBN 978-0-387-30654-4

J.A. Muckstadt, Cornell University, Ithaca, NY, USA; A. Sapra, Cor-

nell University, Ithaca, NY, USA

Models and Solutions in Inventory

Management

Ensuring the availability of materials and goods isone of the major responsibilities and goals of in-ventory management, requiring various techniquessuch as mathematical modeling and computation-al methods. This unique textbook is devoted tomodels and solutions in inventory management. Itbegins with an introductory chapter in whichthe basics of inventory systems and mathematicalassumptions for all models are grouped together,thereafter mathematical principles and applicationsare treated as they relate to one another. In this clear-ly organized systematic exposition, a unique balanceis maintained between simplicity and rigor. Topicsrelated to multiechelon systems are discussed in thelatter chapters. An important feature of this workcan be found in the beautiful examples in the finalchapter in which a relationship between differentkinds of real situations in industry and theoreticalmodels are discussed in detail. This graduate text-book will appeal to senior and first year graduate [..]

Features

More mathematical than some other texts in thisfield, less than others, striking a unique balance be-tween simplicity and rigour Last chapter seeks to es-tablish a relationship between different industrial sit-uations and theortical models, with some examplesdiscussed in detail User friendly and well organized

Contents

1. Introduction.- 2. Economic Order Quantity Mod-els.- 3. 98% Cost-Effective Heuristics.- 4. DynamicLot-Sizing.- 5. The Newsvendor Model.- 6. Period-ic Review Models with Variable Ordering Cost.- 7.Periodic Review Models with Fixed Ordering Cost.-8. A Continuous Time Model with Fixed OrderingCost.- 9. Repairable Items in Multi-Echelon Sys-tems.- 10. Last Thought.- Bibliography.- Index.

Fields of interest

Operation Research/Decision Theory; OperationsResearch, Mathematical Programming; Applicationsof Mathematics; Industrial and Production Engi-neering

Target groups

Senior and first year graduate students in OperationsResearch, Industrial Engineering, and quantitativeMBA programs; reference for those in industry; in-ventory management courses in many universitiesthroughout the country

Type of publication


Due July 2009

2008. Approx. 305 p. (Springer Series in Operations Research and

Financial Engineering) Hardcover

49,95 €

ISBN 978-0-387-24492-1

K. Murasugi, University of Toronto, ON, Canada

Knot Theory and its Applications

Knot theory is a concept in algebraic topology thathas found applications to a variety of mathemati-cal problems as well as to problems in computer sci-ence, biological and medical research, and mathe-matical physics. This book is directed to a broad au-dience of researchers, beginning graduate students,and senior undergraduate students in these fields.The book contains most of the fundamental classicalfacts about the theory, such as knot diagrams, braidrepresentations, Seifert surfaces, tangles, and Alexan-der polynomials; also included are key newer devel-opments and special topics such as chord diagramsand covering spaces. The work introduces the fasci-nating study of knots and provides insight into appli-cations to such studies as DNA research and graphtheory. In addition, each chapter includes a supple-ment that consists of interesting historical as well asmathematical comments. The author clearly outlineswhat is known and what is not known about knots.He has been careful to avoid advanced [..]

Features

Includes fundamental mathematical concepts as wellas applications to physics, biology and chemistryMotivates the reader with historical background andnotes Balances theory with visualization in the over300 illustrations

Contents

Introduction.- Fundamental Concepts of Knot The-ory.- Knot Tables.- Fundamental Problems of KnotTheory.- Classical Knot Invariants.- Seifert Ma-trices.- Invariants from the Seifert matrix.- TorusKnots.- Creating Manifolds from Knots.- Tanglesand 2-Bridge Knots.- The Theory of Braids.- TheJones Revolution.- Knots via Statistical Mechanics.-Knot Theory in Molecular Biology.- Graph Theo-ry Applied to Chemistry.- Vassiliev Invariants.- Ap-pendix.- Notes.- Bibliograph.- Index.

Fields of interest

Topology; Applications of Mathematics; Manifoldsand Cell Complexes (incl. Diff.Topology)

Target groups

Advanced undergraduate and graduate students inmathematics, computer science, biological and medi-cal research, and mathematical physics interested inknot theory

Type of publication


Due November 2007

2008. XII, 342 p. 307 illus. (Modern Birkhäuser Classics) Softcover

34,90 €

ISBN 978-0-8176-4718-6


L. Mátyás, Budapest University of Economics, Budapest, Hungary;

P. Sevestre, University Paris I, Pantheon Sorbonne, Paris, France

(Eds.)

The Econometrics of Panel Data

Fundamentals and Recent Developments in Theory and Prac-

tice

This completely restructured, updated third editionof The Econometrics of Panel Data, first published in1992, provides a general overview of the economet-rics of panel data, both from a theoretical and froman applied viewpoint. Since the pioneering papersby Kuh, Mundlak, Hoch and Balestra and Nerlove,the pooling of cross section and time series data hasbecome an increasingly popular way of quantify-ing economic relationships. Each series provides in-formation lacking in the other, so a combination ofboth leads to more accurate and reliable results thanwould be achievable by one type of series alone. Thisthird, enhanced edition provides a complete and upto date presentation of theoretical developments aswell as surveys about how econometric tools are usedto study firms and household’s behaviors and/ormore macroeconomic phenomena such as econom-ic growth. It contains sixteen entirely new chapterswhile the others have been largely revised to accountfor recent developments in the field.

Features

The double emphasis of the third edition togetherwith the fact that all the chapters have been writtenby well-known specialists in the field, makes thishandbook a standard reference for all those con-cerned with the use of panel data in econometrics

Contents

Fundamentals: Introduction.- Fixed Effect Modelsand Fixed Coefficient Models.- Error ComponentsModels.- Endogenous Regressors and CorrelatedEffects.- The Chamberlain Approach to Panel Da-ta.- Random Coefficient Models.- Parametric BinaryChoice Models.- Advanced Topics: Dynamic Mod-els for Short Panels.- Unit Roots and Cointegrationin Panels.- Measurement Errors and Simultaneity.-Pseudo-panels and Repeated Cross-sections.- Attri-tion, Selection Bias and Censored Regressions.- Sim-ulation Techniques for Panels.- Simulation Tech-niques for Panels: Efficient Importance Sampling.-[..]

Fields of interest

Econometrics; Statistics for Business/Eco-nomics/Mathematical Finance/Insurance; GameTheory/Mathematical Methods

Target groups

Researchers, advanced students, and professionaleconomists concerned with the use of panel data ineconometrics

Type of publication

Reference work

Due February 2008

2008. Approx. 1000 p. (Advanced Studies in Theoretical and Ap-

plied Econometrics, Vol. 46) Hardcover

299,00 €

ISBN 978-3-540-75889-1

T. Möller, Simon Fraser University, Burnaby, BC, Canada; B.

Hamann, University of California, Davis, USA; R. Russell, Simon

Fraser University, Burnaby, BC, Canada (Eds.)

Mathematical Foundations of

Scientific Visualization, Computer

Graphics, and Massive Data

Exploration

Scientific Visualization is one of the most active andexciting areas of Mathematics and Computing Sci-ence, and indeed one which is only beginning to ma-ture. Current visualization algorithms break downfor very large data sets. While present approachesuse multi-resolution ideas, future data sizes will notbe handled that way. New algorithms based on so-phisticated mathematical modeling techniques mustbe devised which will permit the extraction of high-level topological structures that can be visualized.For these reasons a workshop was organized at theBanff International Research Station, focused specifi-cally on mathematical issues. A primary objective ofthe workshop was to gather together a diverse set ofresearchers in the mathematical areas relevant to therecent advances in order to discuss the research chal-lenges facing this field in the next several years. Theworkshop was organized into five different thrusts:> - Topology and Discrete Methods > - Signaland Geometry Processing > [..]

Fields of interest

Computational Mathematics and Numerical Analy-sis; Mathematics of Computing; Computational Sci-ence and Engineering

Target groups

Researchers, lecturers, and graduate students in sci-entific visualization.

Type of publication

Proceedings

Due October 2008

2008. Approx. 400 p. (Mathematics and Visualization) Hardcover

89,95 €

ISBN 978-3-540-25076-0

H. Müller-Merbach, TU Kaiserslautern, Germany

Operations Research and

Management Science

Volume 1: A History of the New Approach to Problems

The HISTORY AND DEVELOPMENT OF OPER-ATIONS RESEARCH AND MANAGEMENT SCI-ENCE will provide—for the first time—a histor-ical context for the entire field of Operations Re-search/Management Science. This enables each re-searcher, student, and practitioner to put their ownwork (which is only part of the broader OR/MS do-main in the Applied Sciences) into a historical per-spective. OPERATIONS RESEARCH AND MAN-AGEMENT SCIENCE: A History of the New Ap-proach to Problems (Volume 1) provides a broad un-derstanding including the OR/MS approach to prob-lems, the scope of problem-solving methodologiesacross the specific methodologies in the field andthe modeling advances with the appropriate math-ematical tools illustrated. QUALITATIVE DEVEL-OPMENT OF OR/MS (Volume 2) outlines the de-velopment of the qualitative (non-mathematical)approach to OR/MS in the historical context of thefield. QUANTITATIVE DEVELOPMENT OF OR/MS (Volume 3) charts the development of the quan-titative advances (progress) in OR/MS. The volumeuses [..]

Features

The author is making special efforts to ensure thatall the books are well-written, well-motivated, acces-sible, and readable. The books will be of interest toacademics to industry practitioners to students. OR/MS is a field with compartmental specializations andthese volumes will be one of the very few resourcesthat will provide those who work with OR/MS toolsand those who are in interested in exploring [..]

Contents

General introduction: OR from ‘problem solving’ to‘science of better’.- The role of OR in the system ofsciences.- History of OR, temporal.- History of OR,the technical milestones.- History of OR, the pio-neers.- Scepticism of OR.- The organizations of OR:national and international.- Index.

Fields of interest

Operation Research/Decision Theory; OperationsResearch, Mathematical Programming; ProbabilityTheory and Stochastic Processes; Optimization; In-formation Systems; Business/Management Science,general

Target groups

Academics, students

Type of publication

Monograph

Due November 2007



92,40 €

ISBN 978-0-387-72154-5



Qualitative Development

of Operations Research and

Management Science

Volume 2: Classic Examples and Commentary


Features


Contents


Fields of interest


Target groups

Academics, students

Type of publication

Collected works

Due November 2007



92,40 €

ISBN 978-0-387-72158-3


Quantitative Development

of Operations Research and

Management Science

Volume 3: Classic Examples and Commentary


Features


Contents


Fields of interest


Target groups

Academics, students

Type of publication

Collected works

Due November 2007



92,40 €

ISBN 978-0-387-72161-3

W.E. Nagel, Dresden University of Technology, Germany; W.

Jäger, University of Heidelberg, Germany; M. Resch, University of

Stuttgart, Germany (Eds.)

High Performance Computing in

Science and Engineering ' 07

Transactions of the High Performance Computing Center,

Stuttgart (HLRS) 2007

This book presents the state-of-the-art in simulationon supercomputers. Leading researchers present re-sults achieved on systems of the Stuttgart High Per-formance Computing Center (HLRS) for the year2007. The reports cover all fields of computation-al science and engineering, ranging from CFD andcomputational physics and chemistry to computerscience, with a special emphasis on industrially rel-evant applications. Presenting results for both vec-tor-based and microprocessor-based systems, thebook makes it possible to compare the performancelevels and usability of various architectures. As theHLRS operates the largest NEC SX-8 vector systemin the world, this book gives an excellent insight intothe potential of such systems. The book further cov-ers the main methods in high performance comput-ing. Its outstanding results in achieving the highestperformance for production codes are of particularinterest for both scientists and engineers. The bookcomes with a wealth of coloured illustrations and ta-bles.

Fields of interest

Computational Mathematics and Numerical Anal-ysis; Theoretical and Computational Chemistry;Mathematics of Computing; Mathematical andComputational Physics

Target groups


Type of publication

Proceedings

Due November 2007


99,95 €

ISBN 978-3-540-74738-3


M.B. Nathanson, City University of New York, NY, USA

Additive Number Theory

Density Theorems and the Growth of Sumsets

A central problem in additive number theory is thegrowth of sumsets. If A is a finite or infinite subsetof the integers and the lattice points, or more gener-ally, of any abelian group or semigroup G, then theh-fold sumset of A is the set LA consisting of all ele-ments of G that can be represented as the sum of Lnot necessarily distinct elements of A. The goal is tounderstand the asymptotics of the sumsets LA , thatis, the size and structure of LA, as L tends to infinity.If A is finite, then the size of LA is its cardinality. IfA is infinite, then the size of LA is measured by vari-ous duality functions. These problems have naturalanalogues when A is a subset of a nonabelian group.Additive Number Theory: Density Theorems and theGrowth of Sumsets presents material that deals withthe above problem. Ideas and techniques from manyparts of mathematics are used to prove theorems inthis subject. For example, the authors use numbertheory, combinatorics, commutative algebra, ultrafil-ters and [..]

Features

Uses ideas and techniques from various part ofmathematics to prove theorems Non-standard tech-niques are accompanied by short introductions Pre-sentation is clear and self contained

Contents

Preface.- Part I. Sums of finite sets of integers.-Part II. Sums of finite sets of lattice points.- Part II.Ehrhart polynomials.- Part IV. Geometric grouptheory.- Part V. Schnirelmann density and applica-tions.- Part VI. Asymptotic density.- Part VII. KneserTheorems and applications.- Part VIII. Bilu’s Theo-rem.- Part IX. Ultrafilters and Hindman’s Theorem.-Part X. Nonstandard Analysis.- Part XI. Upper Ba-nach density problems and Renling Jin’s results.- In-dex.

Fields of interest

Number Theory; Algebra; Mathematical Logic andFoundations

Target groups

Graduate students, researchers in mathematics

Type of publication


Due June 2008

2008. Approx. 400 p. 40 illus (Graduate Texts in Mathematics,


39,95 €

ISBN 978-0-387-70998-7

J. Neukirch, A. Schmidt, University of Heidelberg, Germany; K.

Wingberg, University of Heidelberg, Germany

Cohomology of Number Fields

The present second edition is a corrected and ex-tended version of the first. It is a textbook for stu-dents, as well as a reference book for the workingmathematician, on cohomological topics in numbertheory. The first part provides algebraic background:cohomology of profinite groups, duality groups, freeproducts, and homotopy theory of modules, withnew sections on spectral sequences and on Tate co-homology of profinite groups. The second part dealswith Galois groups of local and global fields: Tateduality, structure of absolute Galois groups of lo-cal fields, extensions with restricted ramification,Poitou-Tate duality, Hasse principles, theorem ofGrunwald-Wang, Leopoldt’s conjecture, Riemann’sexistence theorem, the theorems of Iwasawa and ofŠafarevic on solvable groups as Galois groups, Iwa-sawa theory, and anabelian principles. New materialis introduced here on duality theorems for unrami-fied and tamely ramified extensions, a careful analy-sis of 2-extensions of real number fields and a [..]

Features

In the words of a reviewer: “This monograph gives avery complete treatment of a vast array of cental top-ics in algebraic number theory There is so much ma-terial written down systematically which was knownto the experts, but whose detailed proof did not ac-tually exist in the literature (most notable amongstthese is the celebrated duality theorem of Poitou andTate)”

Contents

I Algebraic Theory: Cohomology of ProfiniteGroups.- Some Homological Algebra.- Duality Prop-erties of Profinite Groups.- Free Products of Profi-nite Groups.- Iwasawa Modules II Arithmetic The-ory: Galois Cohomology.- Cohomology of LocalFields.- Cohomology of Global Fields.- The AbsoluteGalois Group of a Global Field.- Restricted Ramifica-tion.- Iwasawa Theory of Number Fields; AnabelianGeometry.- Literature.- Index.

Fields of interest

Number Theory; Algebraic Geometry; Group Theoryand Generalizations

Target groups

Graduate students and researchers in number theory

Type of publication

Monograph

Due March 2008

2008. Approx. 830 p. (Grundlehren der mathematischen Wis-

senschaften, Vol. 323) Hardcover

109,95 €

ISBN 978-3-540-37888-4

L. Nottale, CNRS, LUTH, Observatoire de Paris-Meudon, Meudon,

France

The Theory of Scale Relativity

Non-differentiable Geometry, Fractal Space-time, and Quan-

tum Mechanics

This book provides a comprehensive survey of thestate-of-the-art in the development of the relativ-ity theory of scales. This theory suggests an origi-nal solution to the disunified nature of the classi-cal-quantum transition in physical systems, enablingquantum mechanics to be based on the principleof relativity provided this principle is extended toscale transformations of the reference system. Inthe framework of such a newly-generalized relativ-ity theory (including position, orientation, motionand scale transformations), the fundamental laws ofphysics may be given a general form that transcendsand integrates the classical and the quantum regimes.A related concern of this book is the geometry ofspace-time, particularly at small scales. By collect-ing and organizing developments and applicationsfrom diverse fields, it is hoped that this monographwill serve as a reference for graduate students and re-searchers interested in the foundations of physics,quantum mechanics, astronomy, [..]

Features

Provides a comprehensive survey of the state-of-the-art in the development of the relativity theoryof scales Transcends and integrates the classical andthe quantum regimes Enables quantum mechanicsto be based on the principle of relativity providedthis principle is extended to scale transformations ofthe reference system Collects and organizes develop-ments and applications from diverse fields for easyreference

Contents

Preface.- Part I: Theory.- Introduction.- Struc-ture of the Theory.- From Non-differentiabilityto Fractality.- Scale Laws.- Fractal Space and In-duced Quantum Mechanics.- Fractal Space-timeand Relativistic Quantum Mechanics.- Gauge The-ories and Scale Relativity.- Quantum Mechanics inScale-Space.- Part II: Applications to Physics.- Ap-plication to Elementary Particle and High EnergyPhysics.- Application to Gravitational Structuring.-Application to Cosmology.- Part III: Applicationsto Social and Life Sciences.- Applicationof Scale Laws to Sciences of Life.- Application[..]

Fields of interest

Applications of Mathematics; Mathematical Meth-ods in Physics; Relativity and Cosmology; Elemen-tary Particles, Quantum Field Theory; DynamicalSystems and Ergodic Theory; Mathematical Biologyin General

Target groups

Graduate students, researchers, mathematicians,math physicists, physicists, astrophysicists, math bi-ologists, geometers

Type of publication

Monograph

Due May 2009

2009. Approx. 400 p. 49 illus. (Progress in Mathematical Physics,



ISBN 978-0-8176-4498-7 S.P. Odintsov, Sobolev Institute of Mathematics, Novosibirsk,

Russia

Constructive Negations and

Paraconsistency

Features

Is the first book in the field of paraconsistent logicdevoted to the study of lattices of logics. Studyingnot particlar systems but classes of logics is one ofthe most important features of modern non-classi-cal logic Studies two main concepts of constructivenegation in the setting of paraconsistent logic Is thefirst book containing systematic and transparent pre-sentation of algebraic semantics for logics [..]

Contents

1. Introduction.- Part I. Reductio ad Absur-dum.- 2. Minimal Logic. Preliminary Re-marks.- 3. Logic of Classical Refutabili-ty.- 4. The Class of Extensions of MinimalLogic.- 5. Adequate Algebraic Semantics forExtensions of Minimal Logic.- 6. NegativelyEquivalent Logics.- 7. Absurdity as Unary Op-erator.- Part II. Strong Negation.- 8. Semanti-cal Study of Paraconsistent Nelson's Logic.- 9.N4-Lattices.- 10. The Class of N4-Extensions.-References.- Subject Index.

Fields of interest

Logic; Mathematical Logic and Foundations

Target groups

Researchers

Type of publication

Monograph

Due March 2008

2008. Approx. 240 p. (Trends in Logic, Vol. 26) Hardcover

114,95 €

ISBN 978-1-4020-6866-9


S. Okada, Australian National University, Canberra, ACT, Aus-

tralia; W.J. Ricker, Katholische Universität Eichstätt, Germany; E.A.

Sánchez Pérez, Universidad Técnica de Valencia, Spain

Optimal Domain and Integral

Extension of Operators

Acting in Function Spaces

This book deals with the analysis of linear opera-tors from a quasi-Banach function space into a Ba-nach space. The central theme is to extend the opera-tor to as large a (function) space as possible, its opti-mal domain, and to take advantage of this in analyz-ing the original operator. Applications are given toMaurey-Rosenthal factorization of operators and toclassical operators arising in commutative harmon-ic analysis. The main tool is the vector measure asso-ciated to such an operator, which produces a corre-sponding space of integrable functions and an inte-gration operator.

Features

Many and varied examples to supplement the theoryInterdisciplinary character Most material appears inprint for the first time Extensive bibliography

Contents

1. Introduction.- 2. Quasi-Banach Function Spaces.-3. Vector Measures and Integration Operators.- 4.Optimal Domains and Integral Extensions.- 5. Oper-ators which are p-th Power Factorable.- 6. Factoriza-tion of p-th Power Factorable Operators through Lp-Spaces.- 7. Operators from Classical Harmonic Anal-ysis.

Fields of interest

Operator Theory

Target groups

Graduates, postgraduates, and researchers in modernoperator theory

Type of publication

Monograph

Due May 2008

2008. Approx. 400 p. (Operator Theory: Advances and Applica-


99,00 €

ISBN 978-3-7643-8647-4

K.B. Oldham, Trent University, Peterborough, ON, Canada; J. My-

land, Trent University, Peterborough, ON, Canada; J. Spanier, Uni-

versity of California, Irvine, CA

An Atlas of Functions

This second edition of An Atlas of Functions pro-vides comprehensive information on several hun-dred functions or function families, of interest to allthose scientists, engineers and mathematicians whoare concerned with the quantitative aspects of theirfield. Beginning with simple integer-valued func-tions, the book progresses to polynomials, exponen-tial, trigonometric, Bessel, and hypergeometric func-tions, as well as many more. The 65 chapters are ar-ranged roughly in order of increasing complexity,mathematical sophistication being kept to a mini-mum while utility is stressed throughout. In additionto providing definitions and simple properties for ev-ery function, each chapter is structured uniformly,allowing readers to reference a specific function (orfunction group), without needing to read other sec-tions of the book. The reader’s familiarity with eachfunction is fleshed out by numerous color figures in2 or 3 dimensions, depicting the qualitative featuresof the function. In many [..]

Features

Modernized and upgraded edition of a valuable ref-erence work first published in 1987 Uses the lan-guage of mathematics that is common to all branch-es of science and engineering Online edition sportsbeautiful and instructive four-color art, hyperlinkedcross-references to related chapters, and full-text inHTML and PDF formats

Contents

[see attached]

Fields of interest

Applications of Mathematics; Special Functions;Real Functions; Mathematical and ComputationalPhysics; Numerical and Computational Methods inEngineering

Target groups

All researchers and students who use mathematicalfunctions in their work, whether their fieldbe engineering, computer science, physics, socialscience, mathematics itself, and many others

Type of publication

Atlas

Due December 2008

Originally published by Hemisphere Publishing Company, 1987.

ISBN: 978-0891165736.

2008. eReference.

100,10 €

ISBN 978-0-387-48807-3

K.B. Oldham, Trent University, Peterborough, ON, Canada; J. My-

land, Trent University, Peterborough, ON, Canada; J. Spanier, Uni-

versity of California, Irvine, CA

An Atlas of Functions

with Equator, the Atlas Function Calculator

This second edition of An Atlas of Functions pro-vides comprehensive information on several hun-dred functions or function families, of interest to allthose scientists, engineers and mathematicians whoare concerned with the quantitative aspects of theirfield. Beginning with simple integer-valued func-tions, the book progresses to polynomials, exponen-tial, trigonometric, Bessel, and hypergeometric func-tions, as well as many more. The 65 chapters are ar-ranged roughly in order of increasing complexity,mathematical sophistication being kept to a mini-mum while utility is stressed throughout. In additionto providing definitions and simple properties for ev-ery function, each chapter catalogs more complex in-terrelationships as well as the derivatives, integrals,Laplace transforms and other characteristics of thefunction. Numerous color figures in 2 or 3 dimen-sions depict their shape and qualitative features andflesh out the reader’s familiarity with the functions.In many instances, the chapter [..]

Features

Modernized and upgraded edition of a valuable ref-erence work first published in 1987 Uses the lan-guage of mathematics that is common to all branch-es of science and engineering Print volume includesthe inclusion of innovative software--Equator, theAtlas Function Calculator. This software obviates theneed for tables or programming to find numericalvalues (once installed onto your Windows XP basedPC, this [..]

Contents

[see attached]

Fields of interest

Applications of Mathematics; Special Functions;Real Functions; Mathematical and ComputationalPhysics; Numerical and Computational Methods inEngineering

Target groups

All researchers and students who use mathematicalfunctions in their work, whether their fieldbe engineering, computer science, physics, socialscience, mathematics itself, and many others

Type of publication

Atlas

Due November 2008

Originally published by Hemisphere Publishing Company, 1987.

ISBN: 978-0891165736.


100,10 €

ISBN 978-0-387-48806-6


T.V. Panchapagesan, Bangalore, India

The Bartle-Dunford-Schwartz

Integral

This volume is a thorough and comprehensive trea-tise on vector measures. The functions to be integrat-ed can be either [0,infinity]- or real- or complex-val-ued and the vector measure can take its values in ar-bitrary locally convex Hausdorff spaces. Moreover,the domian of the vector measure does not have tobe a sigma-algebra: it can also be a delta-ring. Thebook contains not only a large amount of new ma-terial but also corrects various errors in well-knownresults available in the literature. It will appeal to awide audience of mathematical analysts.

Features

Treats in detail the vectorial Radon integration Ex-plores an interplay between, on the one side, linearoperators, transfering real (complex) functions on-to elements of locally convex Hausdorff spaces, andvector-valued measures, on the other

Contents

Preface.- 1. Preliminaries.- 2. Basic Properties of theBartle-Dunford-Schwartz Integral.- 3. Lp-Spaces.- 4.Integration with Respect to LcHs-valued Measures.-5. Applications to Integration in Locally CompactHausdorff Spaces I.- 6. Applications to Integrationin Locally Compact Hausdorff Spaces II.- 7. Comple-ments to the Thomas Theory of Vectorial Radon In-tegration.- References.- List of symbols.- Index.

Fields of interest

Measure and Integration

Target groups

Graduates and researchers in mathematical analysis

Type of publication

Monograph

Due March 2008

2008. Approx. 350 p. (Monografie Matematyczne, Vol. 69) Hard-

cover

79,90 €

ISBN 978-3-7643-8601-6

P.J. Papajorgji, University of Florida, Gainesville, FL, USA; P.M.

Pardalos, University of Florida, Gainesville, FL, USA (Eds.)

Advances in Modeling Agricultural

Systems

This book presents an up-to-date review of advancesin the mathematical modeling of agricultural sys-tems. It covers a broad spectrum of problems andapplications based on internet and communicationstechnology, as well as methodological approachesbased on the integration of different simulation anddata management tools. Using real-world cases, eachchapter presents a detailed solution of a problem in aparticular field. This book demonstrates that regard-less of the nature of the problem and the applicationdomain, modeling is a central and important activityin the process of developing agricultural systems. Re-searchers and graduate students in the fields of agri-culture and environmental studies will benefit fromthis book. It will also serve as an excellent referencefor managers, team leaders, developers and model-ers of agricultural and environmental systems andresearchers in the applied computation field.

Features

Presents an up-to-date review of advances in themathematical modeling of agricultural systems Cov-ers a broad spectrum of problems and applicationsbased on internet and communications technologyUses methodological approaches based on the inte-gration of different simulation and data managementtools Provides detailed solutions of real-world prob-lems

Contents

Introduction.- Business Modelling of NetworkedSupply Chain Systems in Agriculture.- ModellingExternal Information Needs of Agri-Food BusinessNetworks.- Rural Development Through Input-Out-put Modelling.- Web Services, a Renewal of Deci-sion Support Systems in Agricultural?- ModellingTraceability Information and Data in the Agri-FoodChain.- The Model Driven Architecture (MDA) Ap-proach: A Framework for Developing Complex Agri-cultural Systems.- An MDA Approach to Crop Simu-lation Models.- Mechanistic Virtual Modelling: Cou-pling a Plant Simulation Model with a Three-Dimen-sional Simulation [..]

Fields of interest

Computational Science and Engineering; Simulationand Modeling; Environmental Computing/Environ-mental Modelling; Computer Appl. in Life Sciences;Information Systems; Software Engineering

Target groups

Researchers and modelers of agricultural and envi-ronmental systems, software developers in agricul-ture, researchers in applied computation; managersand team leaders in agriculture.

Type of publication

Contributed volume

Due May 2008

2008. Approx. 310 p. (Springer Optimization and Its Applications,


ISBN 978-0-387-75180-1

P.M. Pardalos, University of Florida, Gainesville, FL, USA; V. Yat-

senko, NASU, Kyiv, Ukraine

Optimization and Control of

Bilinear Systems

Theory, Algorithms, and Applications

The purpose of this book is to acquaint the read-er with the developments in bilinear systems the-ory and its applications. Bilinear systemscan be used to represent a wide range of physical,chemical, biological, and social systems, as wellas manufacturing processes, which cannot be ef-fectively modeled under the assumption of lin-earity. This book provides a unified approach forthe identification and control of nonlinear com-plex objects that can be transformed into bi-linear systems, with a focus on the controlof open physical processes functioning in a non-equilibrium mode. A wide class ofnon-linear control systems can be approximat-ed using novel algorithms motivated by bilinearmodels. The goal of this book is to describenew methods, heuristics, and optimality criteriawith less demanding computationalcomplexity than exact criteria that re-sult in robust adaptive algorithms. Emphasis isplaced on three primary disciplines [..]

Features

Covers developments in bilinear systems the-ory Focuses on the control of open physicalprocesses functioning in a non-equilibrium modeEmphasis is on three primary disciplines:modern differential geometry, control of dynamicalsystems, and optimization theory Includes applica-tions to the fields of quantum and molecularcomputing, control of physical processes, biophysics,[..]

Contents

Preface.- Acknowledgments.- Introduction.- Sys-tem-Theoretical Description of Open Physical Pro-cesses.- Control of Bilinear Systems.- Bilinear Sys-tems and Nonlinear Estimation Theory.- Control ofDynamical Processes and Geometrical Structures.-Superconducting Levitation and Bilinear Systems.-Optimization and Control of Quantum-MechanicalProcesses.- Modeling and Global Optimization inBiomolecular Systems.- Modeling and Analysis of Bi-linear Systems.- References.- Index.

Fields of interest

Optimization; Systems Theory, Control; Calculusof Variations and Optimal Control; Optimization;Vibration, Dynamical Systems, Control; QuantumComputing, Information and Physics; Automationand Robotics

Target groups

Graduate students, researchers, and specialists en-gaged in the fields of quantum and molecular com-puting, control of physical processes, biophysics, su-perconducting magnetism, and physical informationscience

Type of publication

Monograph

Due March 2008

2008. XXII, 394 p. 40 illus. (Springer Optimization and Its Applica-



69,30 €

ISBN 978-0-387-73668-6

G. Pavliotis, A. Stuart

Multiscale Methods

Averaging and Homogenization

The book is meant to be an introduction, aimed pri-marily towards graduate students. Part I of the book(theoretical foundations) and Part III of the book(proving theorems concerning simplified versions ofthe models that are studied in Part II) are necessar-ily terse and present the wide range of applicationsof the ideas, and illustrate their unity. The subjectmatter in these set of notes has, for the most part,been known for several decades. However, the par-ticular presentation of the material here is particular-ly suited to the pedagogical goal of communicatingthe subject area to the wide range of mathematicians,scientists and engineers who are currently engaged inthe use of these tools to tackle the enormous range ofapplications that require them. Extensions and gen-eralizations of the results presented in these notes,as well as references to the literature, are given in theDiscussion and Bibliography section, at the end ofeach chapter. With the exception of Chapter One, allchapters [..]

Features

Hot area in applied mathematics Authors are two ofthe leading applied mathematicians onmultiscale methods Nice overview of theory and ap-plication with example and excercises included.

Contents

Introduction.- Analysis.- Probability Theory andStochastic Processes.- Ordinary Differential Equa-tions.- Markov Chains.- Stochastic DifferentialEquations.- Partial Differential Equations.- Invari-ant Manifolds for ODEs.- Averaging for MarkovChains.- Averaging for ODEs and SDEs.- Homog-enization for ODEs and SDEs.- Homogenizationfor Elliptic PDEs.- Homogenization for ParabolicPDEs.- Averaging for Linear Transport and ParabolicPDEs.- Invariant Manifolds for ODEs: The Conver-gence Theorem.- Averaging for Markov Chains: TheConvergence Theorem.- Averaging for SDEs: TheConvergence [..]

Fields of interest

Partial Differential Equations; Probability Theoryand Stochastic Processes; Appl.Mathematics/Com-putational Methods of Engineering; MathematicalMethods in Physics; Computational Science and En-gineering

Target groups


Type of publication


Due December 2007


Hardcover

39,95 €

ISBN 978-0-387-73828-4

C. Perna, University of Salerno, Italy; M. Sibillo, University of

Salerno, Italy (Eds.)

Mathematical and Statistical

Methods for Insurance and Finance

The interaction between mathematicians and statisti-cians reveals to be an effective approach to the anal-ysis of insurance and financial problems, in particu-lar in an operative perspective. The Maf2006 confer-ence, held at the University of Salerno in 2006, hadprecisely this purpose and the collection here pub-lished gathers some of the papers presented at theconference and successively worked out to this aim.They cover a wide variety of subjects in insuranceand financial fields, all treated in light of the success-ful cooperation between the two quantitative meth-ods.

Fields of interest

Econometrics; Statistics for Business/Eco-nomics/Mathematical Finance/Insurance; Quantita-tive Finance; Probability and Statistics in ComputerScience; Algorithm Analysis and Problem Complexi-ty; Financial Economics

Target groups

Professionals and researchers

Type of publication

Proceedings

Due October 2007

2007. Aprrox. 320 p. Hardcover

42,95 €

ISBN 978-88-470-0703-1


D. Perrin, Université Paris-Sud, France

Algebraic Geometry

An Introduction

This introduction to algebraic geometry assumes on-ly the standard background of undergraduate alge-bra and is particularly suitable for those with no pre-vious contact with the subject. The book focusses onprojective algebraic geometry over an algebraical-ly closed base field. It starts with easily-formulatedproblems with non-trivial solutions – for example,Bézout’s theorem and the problem of rational curves– and uses these problems to introduce the funda-mental tools of modern algebraic geometry: dimen-sion; singularities; sheaves; varieties; and cohomolo-gy. The treatment uses as little commutative algebraas possible by quoting without proof (or proving on-ly in special cases) theorems whose proof is not nec-essary in practice, the priority being to develop anunderstanding of the phenomena rather than a mas-tery of the technique. A range of exercises is provid-ed for each topic discussed, and a selection of prob-lems and exam papers are collected in an appendix toprovide material for further study.

Features

Introduces the fundamental tools of algebraic geom-etry at a level suitable for beginning researchers inthe domain.

Contents

Foreword.- Notation.- Introduction.- Affine alge-braic sets.- Projective algebraic sets.- Sheaves andvarieties.- Dimension.- Tangent spaces and singu-lar points.- Bézout’s theorem.- Sheaf cohomology.-Arithmetic genus of curves.- Rational maps and geo-metric genus.- Liaison of space curves.- Appendices:Summary of useful results from algebra.- Schemes.-Problems.- References.- Index.- Index of notation

Fields of interest

Algebraic Geometry; General Algebraic Systems;Mathematics, general

Target groups

Graduate and postgraduate students; Lecturers; Re-searchers

Type of publication


Due December 2007


46,95 €

ISBN 978-1-84800-055-1

D. Petz, Alfréd Rényi Institute of Mathematics, Budapest, Hun-

gary

Quantum Information Theory and

Quantum Statistics

This concise and readable book addresses primari-ly readers with a background in classical statisticalphysics and introduces quantum mechanical notionsas required. Conceived as a primer to bridge the gapbetween statistical physics and quantum informa-tion, a field to which the author has contributed sig-nificantly himself, it emphasizes concepts and thor-ough discussions of the fundamental notions andprepares the reader for deeper studies, not the leastthrough a selection of well chosen exercises.

Features

Focuses on the real introductory explanation of cer-tain important concepts of quantum informationtheory and quantum statistics The mathematicallyrigorous presentation is supported by numerous ex-amples and exercises With an appendix summariz-ing the relevant part of linear analysis The author iswell known for his ability in carefully and thoroughlypresenting this subject matter at the interface of twomajor [..]

Contents

Introduction.- Prerequisites from Quantum Me-chanics.- Information and Its Measures.- Entangle-ment.- More About Information Quantities.- Quan-tum Compression.- Channels and Their Capacity.-Hypothesis Testing.- Coarse-Grainings.- State Es-timation.- Appendix: Auxiliary Linear and ConvexAnalysis.- Index.- Literature.

Fields of interest

Quantum Computing, Information and Physics;Probability Theory and Stochastic Processes; Quan-tum Physics; Information and Communication, Cir-cuits; Operator Theory

Target groups

Graduate students in mathematics, physics, and nat-ural sciences

Type of publication

Monograph

Due November 2007

2008. IX,214 pages with 10 illus (Theoretical and Mathematical

Physics) Hardcover

59,95 €

ISBN 978-3-540-74634-8

S. Pigola, Università dell'Insubria, Como, Italia; M. Rigoli, Univer-

sità di Milano, Italia; A.G. Setti, Università dell'Insubria, Como,

Italia

Vanishing and Finiteness Results in

Geometric Analysis

A Generalization of the Bochner Technique

The aim of the book is to describe very recent resultsinvolving an extensive use of analytical tools in thestudy of geometrical and topological properties ofcomplete Riemannian manifolds. An extension ofthe Bochner technique to the non compact setting isanalyzed in detail, yielding conditions which ensurethat solutions of geometrically significant differentialequations either are trivial (vanishing results) or giverise to finite dimensional vector spaces (finitenessresults). To make up for the lack of compactness, arange of methods, from spectral theory and qualita-tive properties of solutions of PDEs, to comparisontheorems in Riemannian geometry and potential the-ory, are developed. All needed tools are described indetail, often with an original approach. Some of theapplications presented concern the topology at infin-ity of submanifolds, Lp cohomology, metric rigidityof manifolds with positive spectrum, and structuretheorems for Kaelher manifolds.

Features

Comprehensive account of very recent results in geo-metric analysis Essentially self-contained, supplyingthe necessary background material which is not easi-ly available in book form and presenting much of itin a new, original form

Contents

Introduction.- 1. Harmonic Maps, (1,1)-GeodesicMaps and Basic Hermitian and Kählerian Geom-etry.- 2. Comparison Results.- 3. Review of Spec-tral Theory.- 4. Vanishing Results.- 5. A Finite Di-mensionality Result.- 6. Applications to HarmonicMaps.- 7. Topological Applications.- 8. Constancy of(1,1)-Geodesic Maps and the Structure of CompleteKähler Manifolds.- 9. Splitting and Gap Theorems inthe Presence of a Poincaré-Sobolev Inequality.- Ap-pendices.- Bibliography.- Index.

Fields of interest

Analysis; Global Analysis and Analysis on Manifolds

Target groups

Researchers and advanced graduate students in geo-metric analysis and related areas

Type of publication

Monograph

Due April 2008


cover

49,90 €

ISBN 978-3-7643-8641-2


W.A. Pogorzelski, University of Bialystok, Poland; P. Wojtylak,

Silesian University Katowice, Poland

Completeness Theory for

Propositional Logics

The book develops the theory of one of the most im-portant notions in the methodology of formal sys-tems. Particularly, completeness plays an importantrole in propositional logic where many variants ofthe notion have been defined. Global variants of thenotion mean the possibility of getting all correct andreliable schemata of inference. Its local variants re-fer to the notion of truth given by some semantics.A uniform theory of completeness in its general andlocal meaning is carried out and it generalizes andsystematizes some variety of the notion of complete-ness such as Post-completeness, structural complete-ness and many others. This approach allows also fora more profound view upon some essential proper-ties (e.g. two-valuedness) of propositional systems.For these purposes, the theory of logical matrices,and the theory of consequence operations is exploit-ed.

Features

Develops theory for one of the most important no-tions in the methodology of formal systems Allowsa more profound view upon essential properties ofpropositional systems Theory of logical matrices andof consequence operations is exploited

Contents

Introduction.- 1. Basic notions: Propositional lan-guages.- Abstract algebras.- Preliminary lattice-the-oretical notions.- Propositional logics.- Brief exposi-tion of the most important propositional logics.- 2.Semantic methods in propositional logic: Preorderedsets.- Preordered algebras.- Logical matrices.- Ad-equacy.- Propositional logic and lattice theory.- 3.Completeness of propositional logic: Generalizedcompleteness.- Post-completeness.- The problem ofuniqueness of Lindenbaum extensions.- Some relat-ed concepts.- 4. Characterization of propositionalconnectives: Cn-definitions.- [..]

Fields of interest

Mathematical Logic and Foundations

Target groups

Graduates, postgraduates, and researchers, computerscientists, mathematicians, philosophers, linguists

Type of publication

Monograph

Due June 2008

2008. Approx. 180 p. (Studies in Universal Logic) Softcover

49,90 €

ISBN 978-3-7643-8517-0

J.W. Polderman, University of Twente, Enschede, The Nether-

lands; J.C. Willems, University of Leuven, Belgium

Introduction to Mathematical

Systems Theory

A Behavioral Approach

This is a book about modelling, analysis and controlof linear time- invariant systems. The book uses whatis called the behavioral approach towards mathemat-ical modelling. Thus a system is viewed as a dynam-ical relation between manifest and latent variables.The emphasis is on dynamical systems that are rep-resented by systems of linear constant coefficients.In the first part of the book the structure of the setof trajectories that such dynamical systems gener-ate is analyzed. Conditions are obtained for two sys-tems of differential equations to be equivalent in thesense that they define the same behavior. It is furthershown that the trajectories of such linear differentialsystems can be partitioned in free inputs and boundoutputs. In addition the memory structure of the sys-tem is analyzed through state space models. The sec-ond part of the book is devoted to a number of im-portant system properties, notably controllability,observability, and stability. An essential feature of us-ing the [..]

Features

J. Willems is well-known researcher and has a verygood reputation in nonlinear control theory Uniquebehavioral approach used Dynamical systems, con-trollability, observability and stability are among themany topics of active research present Important,widely applicable modeling techniques addressed indetail Numerous exercises, simulation problems, andexamples included

Contents

Preface.- Dynamical Systems.- Introduction.- Mod-els.- The universum and the behavior.- Behavioralequations.- Latent variables.- Dynamical systems.-The basic concept.- Latent variables in dynamicalsystems.- Linearity and time-invariance.- Dynamicalbehavioral equations.- Recapitulation .- Notes andreferences.- Exercises.- Systems defined by LinearDifferential Equations.- Notation.

Fields of interest

Calculus of Variations and Optimal Control; Opti-mization; Math. Applications in Chemistry; Numeri-cal and Computational Methods in Engineering

Target groups

Graduates, senior undergraduates

Type of publication


Due November 2008

2007. Approx. 455 p. 89 illus. (Texts in Applied Mathematics, Vol.

26) Hardcover

46,95 €

ISBN 978-0-387-35763-8

J.-C. Pont, Université de Genève, Switzerland (Ed.)

Complete Works of Charles-François

Sturm

Charles François Sturm was born in Geneva,Switzerland, on September 29, 1803. He obtainedhis scientific education in this city and Geneva hon-oured his memory on the occasion of the 200th an-niversary of his birth by a colloquium and workshopin Geneva held in 2003. This volume is based on lec-tures presented at this colloquium. The focus is onC.F. Sturm's own work. The book contains particularreproductions of his scientific publications. Sturmcontributed notably to geometry, algebra, analysis,optics, mechanics, other work in physics (particu-larly fluid mechanics and speed of sound in water).These original papers are accompanied by contribu-tions from internationally renowned experts therebydeepening topics like differential equations, opticsand algebraic curves. The volume complements thebook on the development of Sturm-Liouville theory(ISBN 978-3-7643-7066-4) that also originates fromthat colloquium.

Features

First monograph on Charles Sturm's collected papersContains all of Sturm's papers as original scans

Contents

Introduction.- Six contributing articles on Sturmswork.- Collected papers.

Fields of interest

History of Mathematics

Target groups

Researchers and historians of science

Type of publication

Collected works

Due August 2008


129,00 €

ISBN 978-3-7643-7989-6


P. Pragacz, Polish Academy of Sciences, Torun, Poland (Ed.)

Algebraic Cycles, Sheaves, Shtukas,

and Moduli

The articles in this book give comprehensive intro-ductions through a series of texts starting at an ele-mentary level and ending with a discussion of cur-rent research. The main subjects studied are vec-tor bundles and coherent sheaves, principal bundlesand sheaves, as well as their moduli; current gener-alizations of geometric invariant theory; Drinfeld'sshtukas and their stacks; interactions between inter-section theory and commutative algebra; Thom poly-nomials.

Features

Dedicated to the great mathematician J.M. Hoene-Wronski Contains a comprehensive introduction tohis life and work Most of the material has not beenpublished in books yet

Contents

Preface.- Life and Work of J.M. Hoene-Wronski.-Exotic Fine Moduli Spaces of Coherent Sheaves.-Principal Bundles over Projective Varieties.- ZeroSchemes of Sections of Vector Bundles.- ModuliSpaces of Coherent Sheaves on Multiples Curves.-Stacks of Shtukas.- Geometric Invariant Theory Rel-ative to a Base Curve.- Thom Polynomials of Invari-ant Cones.- Torsion-free Sheaves and Their Moduli.-Applications of Algebraic Cycles to Affine AlgebraicGeometry.

Fields of interest

Algebraic Geometry; Algebraic Topology

Target groups

Graduate and postgraduate students; researchers inalgebraic geometry, algebraic topology, commutativealgebra, and singularity theory

Type of publication


Due January 2008

2008. Approx. 280 p. (Trends in Mathematics) Hardcover

99,00 €

ISBN 978-3-7643-8536-1

G.D. Prato, Scuola Normale Superiore, Pisa, Italy

Introduction to stochastic analysis

and Malliavin calculus

This volume collects lecture notes from courses de-livered in the past years at the Scuola Normale Su-periore in Pisa, and also at the Trento and FunchalUniversities. It presents an introductory course ondifferential stochastic equations and Malliavin cal-culus. The lectures are addressed to readers familiarwith basic notions of measure theory and function-al analysis. The first part is devoted to the Gaussianmeasure in a separable Hilbert space, the Malliavinderivative, the construction of the Brownian motionand Itô's formula. The second part deals with thedifferential stochastic equations and their connec-tion with parabolic problems. Several applicationsare given, notably the Feynman-Kac, Girsanov andClark-Ocone formulae, the Krylov-Bogoliubov andVon-Neumann theorems.

Features

Graduate text originating from a lot of teaching ex-periences Deals in particular with stochastic differen-tial equations

Contents

1. Gaussian measures in Hilbert spaces.- 2. L2 andSobolev spaces w.r.t. a Gaussian measure.- 3. Brow-nian Motion.- 4. Markov property of the Brownianmotion.- 5. The Itô integral.- 6. The Itô formula.-7. Stochastic differential equations.- 8. Transitionevolution operators.- 9. Formulae of Feynman–Kacand Girsanov.- 10. One dimensional Malliavin calcu-lus.- 11. Malliavin calculus in more dimensions.- 12.Asymptotic behaviour of the transition semigroup.

Fields of interest

Partial Differential Equations; Mathematical Meth-ods in Physics; Probability Theory and StochasticProcesses

Target groups

Graduate students

Type of publication


Due December 2007

2008. Approx. 150 p. (Lecture Notes (Scuola Normale Superiore),

Vol. 6) Softcover

24,00 €

ISBN 978-88-7642-313-0

E. Presutti, Università di Roma "Tor Vergata", Rome, Italy

Scaling Limits in Statistical

Mechanics and Microstructures in

Continuum Mechanics

Contents

Introduction.- Ising Systems: Structure Theorems.-Phase Diagram of Ising Systems.- Non Local, FreeEnergy Functionals.- Surface Tension, Gamma-Con-vergence, Wulff Shape.- Sharp Interface Limits andMotion by Curvature.- Phase Transitions in IsingSystems with Kac Potentials.- Ergodic Decomposi-tion and Decay of Correlations.- Particle Systemswith Kac Potentials, The Pirogov-Sinai Strategy.-Phase Transitions in the LMP model.- Appendix A:Ising Model, main Notation.- Appendix B: MeasureTheory in Ising Spaces.- Appendix C Measure Theo-ry in Polish Spaces.- Appendix D: Couplings and [..]

Fields of interest

Dynamical Systems and Ergodic Theory; Mathemati-cal Methods in Physics

Target groups

Analysts and mathematical physicists

Type of publication


Due October 2008

2008. Approx. 500 p. (Theoretical and Mathematical Physics)

Hardcover

59,95 €

ISBN 978-3-540-73304-1


M. Puhle, Allianz Global Investors, Munich, Germany

Bond Portfolio Optimization

The book analyzes how modern portfolio the-ory and dynamic term structure models can be ap-plied to government bond portfolio optimizationproblems. The author studies the necessary adjust-ments, examines the models with regard to the plau-sibility of their results and compares the outcomes toportfolio selection techniques used by practitioners.Both single-period and continuous-time bond port-folio optimization problems are considered.

Contents

Introduction.- Bond Market Terminology.- TermStructure Modeling in Continuous Time.- StaticBond Portfolio Optimization.- Dynamic Bond Port-folio Optimization in Continuous Time.- Summaryand Conclusion

Fields of interest

Finance /Banking; Quantitative Finance; OperationResearch/Decision Theory; Optimization

Target groups

Scientists

Type of publication

Monograph

Due January 2008

2008. XIV, 137 p., 14 illus. Softcover

59,95 €

ISBN 978-3-540-76592-9

A. Ramsay, University of Colorado, Boulder, CO, USA; R.D. Richt-

myer

Introduction to Hyperbolic

Geometry

This text for advanced undergraduates emphasizesthe logical connections of the subject. The deriva-tions of formulas from the axioms do not make useof models of the hyperbolic plane until the axiomsare shown to be categorical; the differential geome-try of surfaces is developed far enough to establish itsconnections to the hyperbolic plane; and the axiomsand proofs use the properties of the real number sys-tem to avoid the tedium of a completely synthetic ap-proach. The development includes properties of theisometry group of the hyperbolic plane, tilings, andapplications to special relativity. Elementary tech-niques from complex analysis, matrix theory, andgroup theory are used, and some mathematical so-phistication on the part of students is thus required,but a formal course in these topics is not a prerequi-site. Changes to the 2nd Edition include: a new chap-ter on Euclidean geometry, as a means of comparingEuclidean and hyperbolic geometry; a new Chapter 3on Euclidean planes; a new proof of [..]

Features

Introduces hyperbolic geometry from an axiomat-ic viewpoint Includes a wide-ranging selection ofunique topics, such as the Lorentz group and spe-cial relativity Well-written and self-contained, ideallysuited for use in the classroom Heavily illustrated

Contents

Preface.- Introduction.- Axioms for Plane Geome-try.- Euclidean Geometry.- Euclidean Planes.- SomeNeutral Theorems of Plane Geometry.- QualitativeDescription of the Hyperbolic Plane.- H3 and Eu-clidean Approximations in H2.- Differential Geom-etry of Surface.- Quantitative Considerations.- Con-sistency and Categoricalness of the Hyperbolic Ax-ioms- the Classical Models.- Matrix Representationof the Isometry Group.- Differential and HyperbolicGeometry in More Dimensions.- Connections withthe Lorentz Group of Special Relativity.- Construc-tions by Straightedge and Compass in the Hyperbol-ic [..]

Fields of interest

Geometry; Differential Geometry; Analysis; Topolo-gy

Target groups

Undergrad math students

Type of publication


Due January 2008


38,50 €

ISBN 978-0-387-74532-9

K. Rao, University of Texas at Arlington, TX, USA; D.N. Kim, Uni-

versity of Texas at Arlington, TX, USA; J.J. Hwang, Kunsan Nation-

al University, Kunsan, Korea

Fast Fourier Transform

Fast Fourier Transform presents an introductionto the principles of the fast Fourier transform. Thisbook covers FFTs, frequency domain filtering, andapplications to video and audio signal processing. Asfields like communications, speech and image pro-cessing, and related areas are rapidly developing, theFFT as one of essential parts in digital signal process-ing has been widely used. Thus there is a pressingneed from instructors and students for a book deal-ing with the latest FFT topics. Fast Fourier Trans-form provides thorough and detailed explanationof important or up-to-date FFTs. It also has adopt-ed modern approaches like MATLAB examples andprojects for better understanding of diverse FFTs.Fast Fourier transform (FFT) is an efficient imple-mentation of the discrete Fourier transform (DFT).Of all the discrete transforms, DFT is most widelyused in digital signal processing. The DFT maps a se-quence into the frequency domain. The developmentof the DFT originally by Cooley and Tukey [..]

Features

There is a demand for an updated book reflectingthe various developments in FFT and its applica-tions Provides thorough and detailed explanation ofimportant or up-to-date FFTs Adopted modern ap-proaches like MATLAB examples and projects forbetter understanding of diverse FFTs Includes refer-ences to books and review papers and, lists of appli-cations, hardware/software, and useful websites

Contents

Preface. Acknowledgements. List of Acronyms. 1 In-troduction. 2 Discrete Fourier Transform. 3 Fast Al-gorithms. 4 Integer FFT. 5 Multi-Dimensional Dis-crete Fourier Transform. 6 Multi-Dimensional FastFourier Transform. 7 Frequency Domain Filtering. 8Applications. Appendix A. Appendix B. Solutions toSelected Problems. Index.

Fields of interest

Communications Engineering, Networks; FourierAnalysis; Signal,Image and Speech Processing; Mi-crowaves, RF and Optical Engineering

Target groups

Engineers, scientists, researchers, faculty and grad-uate students whose specialty is in signal process-ing, circuits, image processing, communications.This book is developed for senior undergraduate andgraduate students, faculty, engineers, and scientistsin the field, and self-learners to understand FFTsand directly apply them to their fields, efficiently. Inwords it is designed to be a text or a reference. Thusexamples, projects and problems all tied with MAT-LAB, are provided for [..]

Type of publication


Due January 2008

2008. Approx. 350 p. (Signals and Communication Technology)

Hardcover

79,95 €

ISBN 978-1-4020-6628-3


M.M. Rao, University of California, Riverside, CA, USA

Random and Vector Measures


This comprehensive text treats the complementarysubjects of random and vector measures. A vec-tor-valued measure is a function on a ring of sets tak-ing values in a vector space, and a random measureis a subclass of vector measures whose value spacesare built on a probability space. There is a commonfoundation for both, yet each has different applica-tion potentials. The book examines the represen-tations of random and vector measures, randommeasures on probability (i.e., Fréchet, Banach, andHilbert) spaces, the bimeasures associated with ran-dom measures and the extension to polymeasures,boundedness principles, and the importance of ran-dom and vector measures in applications. The inter-action between random and vector measures is ex-plained, thus helping to understand the deeper as-pects of vector-valued analysis. This comparative anddistinctive text is ideal for either graduate studentsin the classroom setting, or for researchers in mathe-matics, statistics, and engineering.

Features

Examines the interaction between random and vec-tor measures Bridges an existing gap in the literatureInvestigates the different application potentials ofrandom and vector measures

Contents

Introduction and motivation.-Second order randommeasures and their representations.-Random mea-sures admitting controls.-Random measures in Ba-nach spaces and their integrals.-Stable random mea-sures in Fréchet spaces and integrals.-Vector mea-sures on d-rings and their use in integral represen-tations of vector functions.-Bimeasures associatedwith random measures and extensions to polymea-sures.-Integral representations of random process-es by vector measures.-Random measures and stablestochastic integrals.-Martingale measures and appli-cations.-Generalized Poisson measures and counting[..]

Fields of interest

Measure and Integration; Applications of Mathe-matics; Probability Theory and Stochastic Processes;Analysis

Target groups

Graduate students and researchers in mathematics,statistics, and engineering

Type of publication


Due May 2009

2009. Approx. 400 p. 10 illus. (Probability and its Applications)

Hardcover

ISBN 978-0-8176-4517-5

G. Rempala, University of Louisville, KY, USA; J. Wesolowski, Po-

litechnika Warszawska, Waarszawa, Poland

Symmetric Functionals on Random

Matrices and Random Matching

Problems

This book presents the current state of the art of themathematical theory of symmetric functionals onrandom matrices with emphasis on its connectionwith the statistical non-parametric estimation theory.The book provides a thorough, detailed descriptionof the approach of symmetric function decomposi-tions to the asymptotic theory of symmetric func-tionals, including the classical theory of U-statistics.It also presents applications of the theory to inves-tigating complex biological systems like sequencealignment, sequencing, SNP (single nucleotide poly-morphism) detection, and DNA microarrays, aswell as some stochastic networks models. An initialoverview of the field of symmetric random functionsmakes this book a useful introduction for newcomersto the field.

Features

Thorough, detailed description of the approach ofsymmetric function decompositions to the asymp-totic theory of symmetric functionals, including theclassical theory of U-statistics Organized by lecturesHot topic

Contents

Basic Concepts.- Properties of P-statistics.- Asymp-totics for Random Permanents.- Weak Convergenceof Permanent Processes.- Weak Convergence of P-statistics.- Permanent Designs and Related Topics.-Products of Partial Sums and Wishart Determinants.

Fields of interest

Applications of Mathematics; Statistical Theory andMethods; Communications Engineering, Networks

Target groups

Graduate students, researchers and practitionersworking with problems revolving around statisticaltesting and estimation in complex environments

Type of publication

Monograph

Due December 2007



62,95 €

ISBN 978-0-387-75145-0

M. Resch, University of Stuttgart, Germany; S. Roller, Universi-

ty of Stuttgart, Germany; P. Lammers, University of Stuttgart,

Germany; T. Furui, NEC Corporation, Tokyo, Japan; M. Galle, NEC

High Performance Europe GmbH, Düsseldorf, Germany; W. Bez,

NEC High Performance Europe GmbH, Düsseldorf, Germany

(Eds.)

High Performance Computing on

Vector Systems 2007

The book presents the state-of-the-art in high perfor-mance computing and simulation on modern super-computer architectures. It covers trends in hardwareand software development in general and specifical-ly the future of vector-based systems and heteroge-neous architectures. The application contributionscover computational fluid dynamics, fluid-structureinteraction, physics, chemistry, astrophysics, and cli-mate research. Innovative fields like coupled mul-ti-physics or multi-scale simulations are presented.All papers were chosen from presentations given atthe fifth Teraflop Workshop held in November 2006at Tohoku University, Japan, and the sixth TeraflopWorkshop held in March 2007 at the Stuttgart HighPerformance Computing Center (HLRS), Germany.

Fields of interest

Computational Science and Engineering; ProcessorArchitectures; Computer Applications in Chemistry;Numerical and Computational Methods

Target groups


Type of publication

Proceedings

Due October 2007

2008. XIV, 267 p. Hardcover

79,95 €

ISBN 978-3-540-74383-5


S.I. Resnick, Cornell University, Ithaca, NY, USA

Extreme Values, Regular Variation,

and Point Processes

Extremes Values, Regular Variation and Point Pro-cesses is a readable and efficient account of the fun-damental mathematical and stochastic process tech-niques needed to study the behavior of extreme val-ues of phenomena based on independent and iden-tically distributed random variables and vectors. Itpresents a coherent treatment of the distributionaland sample path fundamental properties of extremesand records. It emphasizes the core primacy of threetopics necessary for understanding extremes: theanalytical theory of regularly varying functions; theprobabilistic theory of point processes and randommeasures; and the link to asymptotic distribution ap-proximations provided by the theory of weak con-vergence of probability measures in metric spaces.The book is self-contained and requires an introduc-tory measure-theoretic course in probability as a pre-requisite. Almost all sections have an extensive list ofexercises which extend developments in the text, of-fer alternate approaches, test mastery and [..]

Features

presents a readable and efficient account of the fun-damental mathematical and stochastic process tech-niques needed to study the behavior of extreme val-ues of phenomena presents a coherent treatmentof the distributional and sample path fundamentalproperties of extremes and records emphasizes thecore primacy of three topics necessary for under-standing extremes: the analytical theory of regularlyvarying [..]

Contents

Preface.- Preliminaries.- Domains of Attractionand Norming Constants.- Quality of Convergence.-Point Processes.- Records and Extremal Processes.-Multivariate Extremes.- References.- Index.

Fields of interest

Probability Theory and Stochastic Processes; Math-ematical Modeling and Industrial Mathematics; Ap-proximations and Expansions

Target groups

Researchers, mathematicians, engineers, and gradu-ate students

Type of publication

Monograph

Due November 2007

Originally published as volume 4 in the series: Applied Probabil-

ity

2008. XIV, 320 p. (Springer Series in Operations Research and Fi-

nancial Engineering) Softcover

38,50 €

ISBN 978-0-387-75952-4

F. Rezakhanlou, University of California, Berkeley, USA; C. Villani,

École Normale Supérieure de Lyon, France; F. Golse, Université

Paris VII, France; S. Olla, Université Paris Dauphine, France (Eds.)

Entropy Methods for the Boltzmann

Equation

Lectures from a special semester at the Centre Émile Borel,

Institut H. Poincaré, Paris, 2001

Entropy and entropy production have recently be-come mathematical tools for kinetic and hydrody-namic limits, when deriving the macroscopic be-haviour of systems from the interaction dynamicsof their many microscopic elementary constituentsat the atomic or molecular level. During a specialsemester on Hydrodynamic Limits at the CentreÉmile Borel in Paris, 2001 two of the research cours-es were held by C. Villani and F. Rezakhanlou. Bothillustrate the major role of entropy and entropy pro-duction in a mutual and complementary manner andhave been written up and updated for joint publica-tion. Villani describes the mathematical theory ofconvergence to equilibrium for the Boltzmann equa-tion and its relation to various problems and fields,including information theory, logarithmic Sobolevinequalities and fluid mechanics. Rezakhanlou dis-cusses four conjectures for the kinetic behaviour ofthe hard sphere models and formulates four stochas-tic variations of this model, also reviewing known re-sults for these.

Contents

Preface.- C. Villani: Entropy Production and Con-vergence to Equilibrium.- F. Rezakhanlou: KineticLimits for Interacting Particle Systems.

Fields of interest

Probability Theory and Stochastic Processes; PartialDifferential Equations; Mathematical and Computa-tional Physics

Target groups


Type of publication

Monograph

Due November 2007

2008. XII, 107 p. 1 illus. (Lecture Notes in Mathematics, Vol. 1916)

Softcover

29,95 €

ISBN 978-3-540-73704-9

G. Roach, Strathclyde University, UK

An Introduction to Echo Analysis

Scattering Theory and Wave Propagation

Aimed at graduate and postgraduate students and re-searchers in mathematics and the applied sciences,this book provides an introductory account of scat-tering phenomena and a guide to the technical re-quirements for investigating wave scattering prob-lems. It gathers together the principal mathematicaltopics which are required when dealing with wavepropagation and scattering problems, and indicateshow to use the material to develop the required solu-tions. Both potential and target scattering phenom-ena are investigated and extensions of the theory tothe electromagnetic and elastic fields are provided.Throughout, the emphasis is on concepts and resultsrather than on the fine detail of proof. A bibliogra-phy at the end of each chapter points the interestedreader to more detailed proofs of the theorems andsuggests directions for further reading.

Features

A unified, self contained introduction to an excit-ing research area Investigates both potential and tar-get scattering phenomena Aims to bridge the gapbetween the practitioner at the applied end and themathematician interested in the spectral analysis ofinitial boundary problems for PDEs

Contents

Introduction and Outline of Contents.- Some One-dimensional Examples.- Preliminary MathematicalMaterial.- Concerning Hilbert Spaces.- Two Impor-tant Techniques.- A Scattering Theory Strategy.- AnApproach to Echo Analysis.- Scattering Processesin Stratified Media.- Scattering in Spatially PeriodicMedia.- On Inverse Problems.- Scattering in otherWave Systems.- Commentary.- Bibliography.

Fields of interest

Functional Analysis; Operator Theory; Partial Differ-ential Equations

Target groups

Graduate and postgraduate students; researchers

Type of publication

Monograph

Due November 2007


Hardcover

92,95 €

ISBN 978-1-84628-851-7


S. Roman, Irvine, CA, USA

Advanced Linear Algebra, Third

Edition

For the third edition, the author has added a newchapter on associative algebras that includes the wellknown characterizations of the finite-dimension-al division algebras over the real field (a theorem ofFrobenius) and over a finite field (Wedderburn's the-orem); polished and refined some arguments (suchas the discussion of reflexivity, the rational canonicalform, best approximations and the definitions of ten-sor products); upgraded some proofs that were orig-inally done only for finite-dimensional/rank cases;added new theorems, including the spectral mappingtheorem; corrected all known errors; the ref-erence section has been enlarged considerably, withover a hundred references to books on linear alge-bra. From the reviews of the second edition: “In this2nd edition, the author has rewritten the entire bookand has added more than 100 pages of new materials.… As in the previous edition, the text is well writtenand gives a thorough discussion of many topics oflinear algebra and related [..]

Features

Contains topics that are not generally found in lin-ear algebra books Coverage is especially broad Anextensive bibliography has been added Encyclopedictreatment of linear algebra theory, both classical andmodern

Contents

Preface to the third edition.- Preface to the secondedition.- Preface to the first edition.- Preliminaries.-Vector spaces.- Linear transformations.- The iso-morphism theorems.- Modules I: basic properties.-Modules II: free and noetherian modules.- Modulesover a principal ideal domain.- The structure of a lin-ear operator.- Eigenvalues and eigenvectors.- Realand complex inner product spaces.- Structure theo-ry for normal operators.- Metric vector spaces: Thetheory of bilinear forms.- Metric spaces.- Hilbertspaces.- Tensor products.- Positive solutions to lin-ear systems: Convexity and [..]

Fields of interest

Linear and Multilinear Algebras, Matrix Theory

Target groups

Graduate mathematics students

Type of publication


Due November 2007


Vol. 135) Hardcover

54,95 €

ISBN 978-0-387-72828-5

H.-G. Roos, Technische Universität, Dresden, Germany; M. Stynes,

University College Cork, Ireland; L. Tobiska, University of Magde-

burg, Germany

Numerical Methods for Singularly

Perturbed Differential Equations

Convection-Diffusion and Flow Problems

This considerably extended and completely revisedsecond edition incorporates many new developmentsin the thriving field of numerical methods for sin-gularly perturbed differential equations. It providesa thorough foundation for the numerical analysisand solution of these problems, which model manyphysical phenomena whose solutions exhibit lay-ers. The book focuses on linear convection-diffu-sion equations and on nonlinear flow problems thatappear in computational fluid dynamics. It offers acomprehensive overview of suitable numerical meth-ods while emphasizing those with realistic error es-timates. The book should be useful for scientists re-quiring effective numerical methods for singularlyperturbed differential equations.

Contents

I. Ordinary Differential Equations: The analyticalbehaviour of solutions - numerical methods for sec-ond-order boundary value problems - numericalmethods for higher-order problems II. Parabolic Ini-tial-Boundary Value Problems in One Space Dimen-sion: Analytical behaviour of solutions - finite dif-ference methods - finite element methods - adap-tive methods III. Elliptic Boundary Value Problems:Analytical behaviour of solutions - finite differencemethods - finite element methods IV. Incompress-ible Navier-Stokes Equations: Existence and unique-ness results - an upwind finite element method [..]

Fields of interest

Numerical Analysis; Appl.Mathematics/Computa-tional Methods of Engineering; Mathematical Biolo-gy in General; Statistics for Life Sciences, Medicine,Health Sciences; Theoretical and ComputationalChemistry; Mathematical Methods in Physics

Target groups

graduate students and researchers in mathematics,natural sciences and engineering.

Type of publication

Monograph

Due October 2007

2007. Approx. 500 p. (Springer Series in Computational Mathe-


89,95 €

ISBN 978-3-540-34466-7

J. Rosen, Rockville, MD, USA

Science As Symmetry

How Symmetry Provides the Foundations of Science

When we understand nature through science, weare in essence grasping nature through symmetry.In fact, symmetry might well form the foundation-al principle of nature. Emphasizing the concepts,this book leads the reader coherently and compre-hensively into the fertile field of symmetry and itsapplications. Among the most important applica-tions considered are the fundamental forces of na-ture and the Universe. It is shown that the Universecannot possess exact symmetry, which is a princi-ple of fundamental significance. Curie's principle -which states that the symmetry of the effect is at leastthat of the cause - features prominently. An intro-duction to group theory, the mathematical languageof symmetry, is included. This book will convince allinterested readers of the importance of symmetry inscience. Furthermore, it will serve as valuable back-ground reading for all students in the physical sci-ences.

Features

Written by renowned expert on symmetry. Level ap-propriate for newcomers. Experienced author andtalented writer. Suited as background reading forphysics students.

Contents

The Concept of Symmetry.- Symmetry in Science.-Symmetry in Physics.- The Symmetry Principle.-Approximate Symmetry and Spontaneous Symme-try Breaking.- Cosmic Considerations.- The Mathe-matics of Symmetry: Group Theory.- Group TheoryContinued.- The Formalism of Symmetry.- Applica-tions of Symmetry

Fields of interest

Mathematical Methods in Physics; Group Theoryand Generalizations; Aesthetics

Target groups

Students, scientists, hobby scientists

Type of publication

Monograph

Due April 2008

2008. Approx. 240 p. 85 illus. (The Frontiers Collection) Hardcov-

er

39,95 €

ISBN 978-3-540-75972-0


F. Rothlauf, University of Mainz, Germany

Application and Adaptation of

Heuristic Optimization Methods

Many books describe the application ofheuristic optimization methods to a wide variety ofoptimization problems. However, the process of de-veloping an efficient optimization method for thespecific problem at hand seems to be considered a"black art", the domain of optimization specialists.This book focuses on the practitioner and demon-strates how to apply heuristic optimization methods.It breaks down the art of designing efficient opti-mization methods into engineering tasks, and exam-ines how to build successful applications of heuristicoptimization methods. In so doing the reader learnshow to properly model the problem, choose the op-timization method, adapt that method to the proper-ties of the specific problem, and, finally, implementthe method. This book will benefit practitioners inthe field of planning and optimization; researcherswho deal with heuristic optimization in informationsystems, operations research, and computer science;and students in related fields. The reader should [..]

Features

First book to offer a systematic theory of how to ap-ply and adapt heuristic optimization methods.

Contents

Introduction.- Optimization Problems.- Optimiza-tion Methods.- Design of Modern Heuristics.- Mod-ern Heuristics for the Optimal CommunicationSpanning Tree Problem.- Modern Heuristics forAutomated Programming.- Summary and Conclu-sions.- References.- Nomenclature.- Glossary.- Index

Fields of interest

Artificial Intelligence (incl. Robotics); Optimization;Operation Research/Decision Theory; Theory ofComputation

Target groups

Researchers, practitioners, students

Type of publication

Monograph

Due February 2008


59,95 €

ISBN 978-3-540-72961-7


J.J. Rotman, University of Illinois at Urbana-Champaign, IL, USA

An Introduction to Homological

Algebra

Learning homological algebra is a two-stage affair.First, one must learn the language of Ext and Torand what it describes. Second, one must be able tocompute these things, and, often, this involves yetanother language: spectral sequences. This bookgives a treatment of homological algebra which mo-tivates the subject in terms of its origins in algebraictopology. In this new edition the book has been up-dated and revised throughout and new material onsheaves and cup products has been added. The au-thor also included material about homotopical alge-bra, alias K-theory, contrasting it with homologicalalgebra.

Features

Author supplies many examples Traces developmentof terminology Provides abundant applications tocommutative algebra

Contents

Introduction.- Hom and X.- Projectives, Injectives,and Flats.- Specific Rings.- Extensions of Groups.-Homology.- Ext.- Tor.- Son of Specific Rings.-The Return of Cohomolgy of Groups.- Spectral Se-quences.- References.- Index.

Fields of interest

Category Theory, Homological Algebra

Target groups

Graduate mathematics students, mathematicians

Type of publication


Due January 2008

Originally published by Academic Press, 1979


38,50 €

ISBN 978-0-387-24527-0

C. Rousseau, Université de Montreal, QC, Canada; Y. Saint-Aubin,

Université de Montreal, QC, Canada

Mathematics and Technology

The authors present useful, elegant mathematicalconcepts such as Markov chains, function iterationand simple groups, and develop these concepts in thecontext of applications to important, practical prob-lems such as web-navigation, data compression anderror correcting codes. The authors highlight howmathematical modeling, together with the power ofmathematical tools and abstraction, have been cru-cial for innovation in technology. The topics are pre-sented with clarity, and the mathematics is expressedin a straightforward manner. Numerous exercis-es at the end of every section provide practice andreinforce the material in the chapter. An engagingquality of this book is that the authors also put themathematical material in a historical context and notjust a practical one. Mathematics andTechnology is intended for undergraduate students,instructors and high school teachers. Prerequisitesare essentially linear algebra and Euclidean geome-try. Additionally, its lack of calculus [..]

Features

Explains elegant mathematical concepts and devel-ops them towards applications in technology Clearand straightforward presentation Numerous exercis-es at the end of every section provide practice and re-inforce the material in the chapter Presents historicalcontext for material along with the practical one Ac-cessible to any individual with a decent command ofhigh school mathematics

Contents

Preface.- Flash-sciences: A collection of smallsubjects to be taught in one or two hours.- Savingsand loans.- Google and the PageRank algorithm.-Image compression with fractals.- Error correctingcodes.- Public key cryptography.- Turing machines.-DNA computer.- GPS and positioning in space.-Friezes and tilings.- The movements of a robot.-Calculus of variations.- Why 44100 numbers persecond (the standard to record musical CDs).- TheJPEG format.- The skeleton and gamma knife radio-surgery.- Bibliography.- Index

Fields of interest

Mathematical Modeling and Industrial Mathemat-ics; Applications of Mathematics; Computer Science,general

Target groups

Undergraduate and graduate students in mathemat-ics, high school teachers, undergraduate instructors

Type of publication


Due May 2008

2008. Approx. 440 p. 100 illus. (Springer Undergraduate Series in

Mathematics and Technology) Softcover

46,20 €

ISBN 978-0-387-69215-9

K.K. Roy, Calcutta, India

Potential Theory in Applied

Geophysics

"Potential Theory in Applied Geophysics" introducesthe principles of gravitational, magnetic, electro-static, direct current electrical and electromagnet-ic fields, with detailed solutions of Laplace and elec-tromagnetic wave equations by the method of sepa-ration of variables. Behaviour of the scalar and vec-tor potential and the nature of the solutions of theseboundary value problems are shown along with theuse of complex variables and conformal transforma-tion, Green's theorem, Green's functions and its usein integral equation. Finite element and finitedifference methods for two-dimensional potentialproblems are discussed in considerable detail. Theanalytical continuation of the potential field and in-verse theory, used for the interpretation of potentialfield data, are also demonstrated.

Features

New kind of approach to basic topics on potentialtheory for postgraduate students and geophysicists

Contents

1 Element of Vector Analysis.- 2 Introductory Re-marks.- 3 Gravitational Potential and Field.- 4 Elec-trostatic Field.- 5 Magnetostatics.- 6 Direct CurrentFlow Field.- 7 Solution of Laplace Equation.- 8 Di-rect Current Field Related Potential Problems.- 9Complex Variables and Conformal Transformationin Potential Theory.- 10 Green’s Theorem in Poten-tial Theory.- 11 Concept of electrical images in po-tential theory.- 12 Electromagnetic Theory (VectorPotential).- 13 Electromagnetic Wave PropagationRelated Problems in Geophysics.- 14 Green’s Func-tion.- 15 Numerical methods in Potential [..]

Fields of interest

Geophysics/Geodesy; Mathematical and Computa-tional Physics; Potential Theory; Math. Applicationsin Geosciences; Applications of Mathematics

Target groups

Scientists, researchers, institutes, libraries, graduatestudents

Type of publication

Monograph

Due November 2007

2007. XXIII, 651p. 268 illus. Hardcover

139,95 €

ISBN 978-3-540-72089-8


C. Sabbah, CNRS, France

Isomonodromic Deformations and

Frobenius Manifolds

An Introduction

Based on a series of graduate lectures, this book pro-vides an introduction to algebraic geometric meth-ods in the theory of complex linear differential equa-tions. Starting from basic notions in complex al-gebraic geometry, it develops some of the classicalproblems of linear differential equations and endswith applications to recent research questions relat-ed to mirror symmetry. The fundamental tool usedwithin the book is that of a vector bundle with con-nection. There is a detailed analysis of the singu-larities of such objects and of their deformations,and coverage of the techniques used in the resolu-tion of the Riemann-Hilbert problem and Birkhoff’sproblem. An approach to Frobenius manifolds usingisomonodromic deformations of linear differentialequations is also developed. Aimed at graduate stu-dents and researchers, the book assumes some famil-iarity with basic complex algebraic geometry.

Features

The first book to cover this material at a level thatis accessible to graduate students and youngresearchers. Includes complete proofs, and applica-tions to recent research questions.

Contents

The language of fibre bundles.- Holomorphic vec-tor bundles on the Riemann sphere.- The Rie-mann-Hilbert correspondence.- Lattices.- The Rie-mann-Hilbert problem and Birkhoff's problem.-Fourier-Laplace duality.- Integrable deformations.-Saito structures and Frobenius structures.- Refer-ences.- Index of notation.- Index

Fields of interest

Algebraic Geometry; Mathematics, general

Target groups

Graduate and postgraduate students; Researchers

Type of publication


Due January 2008


46,95 €

ISBN 978-1-84800-053-7

S. Salsa, Politecnico di Milano, Italia

Partial Differential Equations in

Action

From Modelling to Theory

The main purpose is on the one hand to train thestudents to appreciate the interplay between theoryand modelling in problems arising in the applied sci-ences; on the other hand to give them a solid theoret-ical background for numerical methods, such as fi-nite elements. Accordingly, this textbook is dividedinto two parts. The first one has a rather elementarycharacter with the goal of developing and studyingbasic problems from the macro-areas of diffusion,propagation and transport, waves and vibrations.Ideas and connections with concrete aspects are em-phasized whenever possible, in order to provide in-tuition and feeling for the subject. For this part, aknowledge of advanced calculus and ordinary differ-ential equations is required. Also, the repeated use ofthe method of separation of variables assumes somebasic results from the theory of Fourier series, whichare summarized in an appendix. The main topic ofthe second part is the development of Hilbert spacemethods for the variational [..]

Fields of interest


Target groups

Advanced undergraduates, first-year graduates;courses for students from various disciplines like ap-plied mathematics, physics, engineering

Type of publication


Due November 2007

Original Italian edition published in the Series: UNITEXT


39,95 €

ISBN 978-88-470-0751-2

F. Santambrogio, Université Paris Dauphine, Paris, France

Variational problems in transport

theory with mass concentration

The book mainly deals with variational problems in-volving optimal transportation of probability mea-sures, in competition with concentration effects.First, some problems are presented where measureshave to be selected minimizing transport costs be-tween them but satisfying some concentration crite-ria, with possible applications mainly to urban plan-ning (where the concentrated measures stand for ser-vices in the city and the diffuse ones for population).The second part of the book is devoted to optimiza-tion problems where the concentration or diffusionphenomena occurs directly at the level of the trans-portation structure: for instance in most communi-cation networks, as well as in river basins and bloodvessels joint transportation is favoured, while somemodels for traffic congestion or compressible fluidmechanics give raise to problems where spread con-figurations are preferred.

Features

Deals in a unified manner with several problemswhere different concentration effects are consideredKey points of the book are modelling issues For vari-ational problems both existence results and neces-sary optimality conditions are considered, arriving atthe identification of explicit solutions when possible

Contents

Preliminaries on optimal transportation.- 1. An ur-ban planning model by local functionals.- 2. Anurban planning model with traffic congestion.- 3.Transport and concentration problems with interac-tion.- 4. Path functionals in Wasserstein spaces.- 5.A system of PDEs from a geodesic problem in Wp.-6. Branching transport problems and distances.- 7.Landscape function.- 8. Blow-up for optimal one-di-mensional sets.- 9. Blow-up for optimal branchingstructures.- References.

Fields of interest

Calculus of Variations and Optimal Control; Opti-mization

Target groups

Researchers

Type of publication

Monograph

Due November 2007

2008. Approx. 225 p. (Theses (Scuola Normale Superiore), Vol. 4)

Softcover

18,00 €

ISBN 978-88-7642-312-3


O. Scherzer, University of Innsbruck, Innsbruck, Austria; M. Gras-

mair, University of Innsbruck, Innsbruck, Austria; H. Grossauer,

University of Innsbruck, Innsbruck, Austria; M. Haltmeier, Univer-

sity of Innsbruck, Innsbruck, Austria; F. Lenzen, University of Inns-

bruck, Innsbruck, Austria

Variational Methods in Imaging

Several mathematical methods find wide applicationsin imagining science. This book focuses on variation-al methods in imaging. Key topics: Introduces varia-tional methods with motivation from deterministic,geometric and stochastic point of view Presents caseexamples in imaging to illustrate the use of variation-al methods e.g. denoising, thermoacoustics, comput-erized tomography Link between noncovex calcu-lus of variations, morphological analysis and levelset methods is discussed Analyses variational meth-ods containing classical analysis of variational meth-ods, modern analysis such as G-norm properties andnonconvex calculus of variations Many numericalexamples accompany the theory throughout the text.This book is geared towards graduate students andresearchers in applied mathematics. It could serve asa main text for graduate courses in image processingor as a supplemental text for courses on regu-larization and inverse problems. Researchers in thearea of imaging science will also [..]

Features

Includes an insert with color images Numerical examples accompany the theory Ad-ditional material and images available on thewebsite Systematic presentation

Contents

Introduction and history of variational methods forimaging.- Case examples of imaging.- Motivationof regularization techniques.- Quadratic regulariza-tion for linear imaging.- Quadratic regularization fornonlinear imaging.- Nonquadratic regularization:Rudin Osher Fatemi model and others.- Mod-ern analysis of regularization techniques.- Noncon-vex regularization: Analysis of calculus of variations.-Regularization for functionals involving discontinu-ous operators.- Relation between nonconvex regular-ization and level methods.- Summary and compari-son of the techniques.

Fields of interest

Calculus of Variations and Optimal Control; Opti-mization; Image Processing and Computer Vision;Mathematical Modeling and Industrial Mathematics;Imaging / Radiology

Target groups


Type of publication

Monograph

Due May 2008


ISBN 978-0-387-30931-6

H. Schmidli, University of Copenhagen, Denmark

Stochastic Control in Insurance

Features

This will be the first systematic treatment of Actuari-al control, rather than Financial control. All the mostrecent results are collected here in one volume forthe first time - until now only available in journals.The book approaches Stochastic Control Theory forspecific examples motivated by problems in actuarialmathematics - readers will be able to see the theorywork.

Contents

Stochastic Control in Discrete Time.- StochasticControl in Continuous Time.- Problems in Life In-surance.- Asymptotics of Controlled Risk Processes.-Asymptotics of Characteristics under Optimal Con-trol.- Appendices.- Stochastic Processes and Martin-gales.- Markov Processes and Generators.- Changeof Measure Techniques.- Risk Theory.- The Black-Scholes Model.- Life Insurance

Fields of interest

Mathematics, general

Target groups

Researchers and PG students

Type of publication

Monograph

Due January 2008

2008. Approx. 350 p. (Probability and its Applications) Softcover

62,95 €

ISBN 978-1-84800-002-5

M. Schreiber, Technische Universität Chemnitz, Germany; Th. Vo-

jta, Technische Universität Chemnitz, Germany

Computational Condensed Matter

Physics

A Course for Self-Study and the Computer Laboratory

Contents

Diffusion Limited Growth, Growth of PolymerChains, 2D Ising-Model, Molecular Dynamics ofLiquid Argon, Calculations of Band-Structure, LineForm of Absorption Spectra, Localization of Elec-tronic States, Fractal Properties of Electronic States,Transport Electrons on Linear Chains, Quasicrystals

Fields of interest

Condensed Matter; Mathematical Methods inPhysics; Numerical and Computational Methods

Target groups

advanced students in physics

Type of publication


Due October 2008

2008. Approx. 300 pp. 100 figs., CD-ROM with Fortran 77 Source

Code. (Advanced Texts in Physics) Hardcover

45,79 €

ISBN 978-3-540-63669-4


W. Schwarz, Humanwissenschaftliche Fakultat, Universitat Pots-

dam, Germany

40 Puzzles and Problems in

Probability and Mathematical

Statistics

The present book is based on the view that cogni-tive skills are best acquired by solving challenging,non-standard probability problems. The author'sown experience, both in learning and in teaching, isthat challenging problems often provide more, andlonger lasting, inductive insights than plain-style de-ductions from general concepts. Problems help todevelop, and to sharpen our intuition for importantprobabilistical concepts and tools such as condition-aing or first-step analyses. Many puzzles and prob-lems presented here are either new within a problemsolving context (although as topics in fundamentalresearch they are of course long known) or are vari-ations of classical problems which follow directlyfrom elementary concepts. A small number of par-ticularly instructive problems is taken from previoussources which in this case are generally given.

Features

Contains far more problems of a statistical naturethan the competition Will become a handy resourcefor professors looking for problems to assign for acourse Of interest to undergraduate math students,as well as a more general audience of amateur scien-tists

Contents

Preface.- Notation and Terminology.- Problems.-Hints.- Solutions.- References.- Index.

Fields of interest


Target groups

Undergraduate math and statistics majors, as well asa general audience interested in math problems

Type of publication


Due December 2007

2008. Approx. 135 p. (Problem Books in Mathematics) Hardcover

38,50 €

ISBN 978-0-387-73511-5

J.R. Sendra, University of Alcalá, Madrid, Spain; F. Winkler, Jo-

hannes Kepler Universität Linz, Austria; S. Pérez-Diaz, University

of Alcalá, Madrid, Spain

Rational Algebraic Curves

A Computer Algebra Approach

The central problem considered in this book is thedetermination of rational parametrizability of analgebraic curve, and, in the positive case, the com-putation of a good rational parametrization. Thisamounts to determining the genus of a curve, i.e. itscomplete singularity structure, computing regularpoints of the curve in small coordinate fields, andconstructing linear systems of curves with prescribedintersection multiplicities. Various optimality crite-ria for rational parametrizations of algebraic curvesare discussed. This book is mainly intended for grad-uate students and researchers in constructive alge-braic curve geometry.

Features

Nice and easy introduction to topic for students

Fields of interest

Algebraic Geometry; Algebra; Symbolic and Alge-braic Manipulation; Math Applications in ComputerScience

Target groups

Students and lecturers in mathematics and computerscience

Type of publication


Due October 2007

2008. IX, 267 p. 27 illus. (Algorithms and Computation in Mathe-


59,95 €

ISBN 978-3-540-73724-7

Y. Shapira, Technion—Israel Institute of Technology, Haifa, Israel

Matrix-Based Multigrid


This book introduces and analyzes the multigrid ap-proach for the numerical solution of large sparse lin-ear systems arising from the discretization of ellipticpartial differential equations. Special attention is giv-en to the powerful matrix-based-multigrid approach,which is particularly useful for problems with vari-able coefficients and nonsymmetric and indefiniteproblems. This approach applies not only to modelproblems on rectangular grids but also to more re-alistic applications with complicated grids and do-mains and discontinuous coefficients. Matrix-BasedMultigrid can be used as a textbook in courses in nu-merical analysis, numerical linear algebra, and nu-merical PDEs at the advanced undergraduate andgraduate levels in computer science, math, and ap-plied math departments. The theory is written insimple algebraic terms and therefore requires prelim-inary knowledge in basic linear algebra and calculusonly. Because it is self contained and includes usefulexercises, the book is also suitable [..]

Features

Second edition is a much improved version of thebook, with more explanation included for the non-expert

Contents

List of Figures.- List of Tables.- Preface.- Part I. Con-cepts and Preliminaries.- 1. The Multilevel–Multi-scale Approach.- 2. Preliminaries.- Part II. PDEs andTheir Discretization.- 3. Finite Differences and Vol-umes.- 4. Finite Elements.- Part III. Numerical Solu-tion of Linear Systems.- 5. Iterative Linear-SystemSolvers.- 6. The Multigrid Iteration.- Part IV. Multi-grid for Structured Grids.- 7. Automatic Multigrid.-8. Applications in Image Processing.- 9. Black-BoxMultigrid.- 10. The Indefinite Helmholtz Equation.-11. Matrix-Based Semicoarsening.- Part V. Multigridfor [..]

Fields of interest

Computational Mathematics and Numerical Analy-sis; Numeric Computing; Applications of Mathemat-ics; Numerical and Computational Methods in Engi-neering; Mathematics of Computing; Numerical andComputational Methods

Target groups

Advanced undergraduate and graduate students incomputer science, math, and applied math depart-ments; researchers, engineers, and others interestedin the numerical solution of partial differential equa-tions

Type of publication


Due February 2008

2008. XXII, 320 p. (Numerical Methods and Algorithms, Vol. 2)

Hardcover

54,95 €

ISBN 978-0-387-49764-8


L. Shi, University of Wisconsin-Madison, Wisconsin, USA; S. Olafs-

son, Iowa State University, Iowa, USA

Nested Partitions Optimization

Methodology And Applications

Features

The framework of Nested Partitions combines notonly many well-known optimization techniques (i.e.,dynamic programming, mixed integer program-ming, genetic algorithms, tabu search), but also inte-grates many problem-specific local search heuristicsThe book’s examples and methods emphasize the so-lution of real world problems in the areas of telecom-munication networks for multimedia transmission,planning and [..]

Contents

Introduction.- Nested partitions for deterministicoptimization.- Nested partitions for stochastic opti-mization.- Development of stopping rules.- Hybridnested partitions algorithms.- Applications.- Productdesign.- Buffer allocation.- Flexible resource schedul-ing.- Data mining.- Supply chain network design.-References.- Index.

Fields of interest

Operation Research/Decision Theory; OperationsResearch, Mathematical Programming; Optimiza-tion; Production/Logistics; Computational Mathe-matics and Numerical Analysis; Mathematical Mod-eling and Industrial Mathematics

Target groups

Researchers and students in engineering

Type of publication

Monograph

Due November 2007



91,65 €

ISBN 978-0-387-71908-5

A.N. Shiryaev, Steklov Institute, Moscow, Russia

Optimal Stopping Rules

Features

Although three decades have passed since first publi-cation of this book reprinted now as a result of pop-ular demand, the content remains up-to-date andinteresting for many researchers as is shown by themany references to it in current publications Thearea of application of the optimal stopping theory isvery broad

Contents

Random Processes: Markov Times. - Optimal Stop-ping of Markov Sequences. - Optimal Stopping ofMarkov Processes. - Some Applications to Problemsof Mathematical Statistics.

Fields of interest

Probability Theory and Stochastic Processes; Statis-tics for Business/Economics/Mathematical Fi-nance/Insurance

Target groups


Type of publication

Monograph

Due October 2007

Originally published 1976 by Nauka, Moscow with the title:

STATISTICHESKY POSLEDOVATELNY ANALYZ (OPTIMALNYJE

PRAVILA OSTANOVKI) 2nd ed.

2008. XII, 220 p. 7 illus. (Stochastic Modelling and Applied Proba-

bility, Vol. 8) Softcover

69,95 €

ISBN 978-3-540-74010-0

A.N. Shiryaev, Steklov Mathematical Institute, Moscow, Russia

Probability

Volume 1

This book contains a systematic treatment of prob-ability from the ground up, starting with intuitiveideas and gradually developing more sophisticatedsubjects, such as random walks, martingales, Markovchains, ergodic theory, weak convergence of prob-ability measures, stationary stochastic processes,and the Kalman-Bucy filter. Many examples are dis-cussed in detail, and there are a large number of ex-ercises. The book is accessible to advanced under-graduates and can be used as a text or for self-study.The third edition contains new problems and exer-cises, new proofs, expanded material on financialmathematics, financial engineering, and mathemat-ical statistics, and a final chapter on the history ofprobability theory.

Features

Successfully synthesizes the most important classi-cal ideas and results with many of the major achieve-ments of modern probability theory Author providesclear and comprehensive introduction to probabilitytheory

Contents

Preface to the Third Edition.- Preface to the Sec-ond Edition.- Preface to the First Edition.- Introduc-tion.- Elementary Probability Theory.- MathematicalFoundations of Probability Theory.- Proximity andConvergence of Probability Measures.- Central LimitTheorem.- Bibliography.- Index.

Fields of interest


Target groups

Advanced undergraduate, graduate math students

Type of publication


Due December 2007

Originally published in one volume

2008. XII, 520 p. 47 illus. (Graduate Texts in Mathematics, Vol.

95/1) Hardcover

54,95 €

ISBN 978-0-387-72205-4


A.N. Shiryaev, Steklov Mathematical Institute, Moscow, Russia

Probability

Volume 2

This book contains a systematic treatment of prob-ability from the ground up, starting with intuitiveideas and gradually developing more sophisticatedsubjects, such as random walks, martingales, Markovchains, ergodic theory, weak convergence of prob-ability measures, stationary stochastic processes,and the Kalman-Bucy filter. Many examples are dis-cussed in detail, and there are a large number of ex-ercises. The book is accessible to advanced under-graduates and can be used as a text or for self-study.The third edition contains new problems and exer-cises, new proofs, expanded material on financialmathematics, financial engineering, and mathemat-ical statistics, and a final chapter on the history ofprobability theory.

Features

Successfully synthesizes all of the classical ideas andresults with many of the major achievements ofmodern probability theory Author provides clear andcomprehensive introduction to probability theory

Contents

Preface.- Sequences and Sums of Independent Ran-dom Variables.- Stationary (Strict Sense) RandomSequences and Ergodic Theory.- Stationary (WideSense) Random Sequences.- L2 Theory.- Sequencesof Random Variables that Form Martingales.- Se-quences of Random Variables that Form MarkovChains.- History of Mathematical Theory of Proba-bility.- Bibliography (Chapters IV-VIII).- List of Lit-erature.- Index.

Fields of interest


Target groups

Advanced undergraduate and graduate math stu-dents

Type of publication


Due December 2007

Originally published in one volume

2008. Approx. 430 p. (Graduate Texts in Mathematics, Vol. 95/2)

Hardcover

54,95 €

ISBN 978-0-387-72207-8

R.W. Shonkwiler, Georgia Institute of Technology, Atlanta, Geor-

gia, USA

Mathematical Biology

An Introduction with Maple and Matlab

A greatly expanded and updated edition of the pop-ular Introduction to the Mathematics of Biology(Yeargers, Shonkwiler and Herod, Birkhäuser 1996),this textbook aims to present mathematical biologyas not merely the intrusion of one science into an-other, but rather as a field with a unity of its own. Itretains and expands on the concept of the "comput-er biology laboratory,” giving students a general per-spective of the field before proceeding to more spe-cialized topics. The book is a product of extensiveclassroom experience, and the student response to ithas been exhilarating due to its focus on problems ofcontemporary interest such as cancer, genetics andaging. A unique feature of the book is its integrationof a computer algebra system into the flow of ideas,in a supporting but unobtrusive role. Syntax for boththe Maple and Matlab systems is provided in a side-by-side format. The use of a computer algebra sys-tem gives students the opportunity to examine "whatif” scenarios, thereby [..]

Features

Revision of successful Birkhäuser book (1996), AnIntroduction to the Mathematics of Biology Cross-disciplinary, can be used as a textbook in courses inboth mathematics and biology departments

Contents

1. Biology, Mathematics and a Mathematical Biol-ogy Laboratory.- 2. Some Mathematical Tools.- 3.Reproduction of the Drive for Survival.- 4. Interac-tions Between Organisms and Their Environment.-5. Age-Dependent Population Structures.- 6. Ran-dom Movements in Space and Time.- 7. The Biolog-ical Disposition of Drugs and Inorganic Toxins.- 8.Neurophysiology.- 9. The Biochemistry of Cells.- 10.A Biomathematical Approach to HIV and AIDS.-11. Parasites and Their Diseases.- 12. Genetics.- 13.Cancer—A Disease of the DNA.- 14. Genomics.- 15.Phylogenetics.

Fields of interest

Mathematical Biology in General; Computer Appl.in Life Sciences; Probability Theory and StochasticProcesses; Applications of Mathematics; ComputerApplications

Target groups

Advanced undergraduate and graduate studentsstudying mathematics or biology

Type of publication


Due July 2008

Originally published by Birkhäuser Boston, 1996


39,95 €

ISBN 978-0-387-70983-3

P. Siarry, Université de Paris, France; Z. Michalewicz, University of

Adelaide, SA, Australia (Eds.)

Advances in Metaheuristics for Hard

Optimization

Many advances have been made recently in meta-heuristic methods, from theory to applications. Theeditors, both leading experts in this field, have as-sembled a team of researchers to contribute 21 chap-ters organized into parts on simulated annealing,tabu search, ant colony algorithms, general-purposestudies of evolutionary algorithms, applications ofevolutionary algorithms, and various metaheuris-tics. The book gathers contributions related to thefollowing topics: theoretical developments in meta-heuristics; adaptation of discrete metaheuristics tocontinuous optimization; performance comparisonsof metaheuristics; cooperative methods combiningdifferent approaches; parallel and distributed meta-heuristics for multiobjective optimization; softwareimplementations; and real-world applications. Thisbook is suitable for practitioners, researchers andgraduate students in disciplines such as optimiza-tion, heuristics, operations research, and naturalcomputing.

Fields of interest

Artificial Intelligence (incl. Robotics); Optimization;Operations Research, Mathematical Programming;Engineering Design; Theory of Computation

Target groups

Researchers and graduate students in computer sci-ence and fields related to optimization (operationsresearch, mathematics)

Type of publication

Monograph

Due November 2007


74,95 €

ISBN 978-3-540-72959-4


S. Simons, University of California, Santa Barbara, CA, USA

From Hahn-Banach to Monotonicity

In this new edition of LNM 1693 the essential ideais to reduce questions on monotone multifunctionsto questions on convex functions. However, ratherthan using a “big convexification” of the graph of themultifunction and the “minimax technique”for prov-ing the existence of linear functionals satisfying cer-tain conditions, the Fitzpatrick function is used. Thejourney begins with a generalization of the Hahn-Banach theorem uniting classical functional analy-sis, minimax theory, Lagrange multiplier theory andconvex analysis and culminates in a survey of currentresults on monotone multifunctions on a Banachspace. The first two chapters are aimed at studentsinterested in the development of the basic theoremsof functional analysis, which leads painlessly to thetheory of minimax theorems, convex Lagrange mul-tiplier theory and convex analysis. The remainingfive chapters are useful for those who wish to learnabout the current research on monotone multifunc-tions on (possibly non reflexive) Banach space.

Contents

Preface.- Introduction.- I.The Hahn-Banach-La-grange Theorem and Some Consequences.-II.Fenchel Duality.- III.Multifunctions, SSDSpaces, Monotonicity and Fitzpatrick Functions.-V.Monotone Multifunctions on Reflexive BanachSpaces.- VI.Special Maximally Monotone Multifunc-tions.- VII.The Sum Problem for General BanachSpaces.- VIII.Open Problems.- IX.Glossary of Class-es of Multifunctions.- X.A Selection of Results.- Ref-erences.- Subject index.- Symbol index.

Fields of interest

Functional Analysis; Calculus of Variations and Op-timal Control; Optimization; Operator Theory

Target groups


Type of publication

Monograph

Due January 2008

Originally published with the title: Minimax and Monotonicity,

by Springer Heidelberg, Germany, 1998

2008. (Lecture Notes in Mathematics, Vol. 1693 ) Hardcover

39,95 €

ISBN 978-1-4020-6918-5

T.E. Simos, University of Peloponnese, Tripolis, Greece; G. Psi-

hoyios, University of Buckingham, UK; C. Tsitouras, Technological

Educational Institution of Chalkis, Psahna, Greece (Eds.)

Numerical Analysis and Applied

Mathematics

International Conference of Numerical Analysis and Applied

Mathematics

All papers have been peer-reviewed. The Interna-tional Conference on Numerical Analysis and Ap-plied Mathematics 2007 (ICNAAM-2007) has beenscheduled to take place at Hotel Marbella in Corfubetween 16th and 20th September 2007. The aim ofthe conference is to bring together leading scientistsof the international Numerical and Applied Mathe-matics community and to attract original researchpapers of very high quality. More than 350 papershave been submitted in order to be considered forpresentation at ICNAAM-2007. From these submis-sions we have selected 189 papers after an interna-tional peer review by at least two independent re-viewers. Topics to be covered include (but are notlimited to): All the research areas of Numerical Anal-ysis and Computational Mathematics (NumericalODEs, Numerical PDEs (inc. BVPs), Scientific Com-puting and Algorithms, Stochastic Differential Equa-tions, Approximation, Numerical Linear Algebra,Numerical Integral Equations, Error Analysis andInterval Analysis, Difference [..]

Fields of interest

Mathematical and Computational Physics; StatisticalPhysics; Computer Applications in Chemistry; Math.Applications in Chemistry; Mathematics of Com-puting; Computational Mathematics and NumericalAnalysis

Target groups

University professors and researchers, mathemati-cians, applied mathematicians, computer scientists,physicists, chemists, engineers

Type of publication

Proceedings

Due October 2007

2007. Approx. 805 p. (Mathematical and Statistical Phsyics, Vol.

936) Hardcover

138,60 €

ISBN 978-0-7354-0447-2

H.B. Sinaceur, CNRS, Paris, France

Fields and Models

From Sturm to Tarski and Robinson

The first English translation of the well-receivedFrench text "Corps et Modèles," Fields and Models:from Sturm to Tarski and Robinson traces the inter-twined development of logic and algebra, particular-ly Tarski's model theory and Artin's and Schrier's al-gebra of real-closed fields. A number of pivotal re-sults are woven in to this collaboration across dis-ciplines: Sturm's theorem on the location of rootsof real polynomials, which is the unifying theme, aswell as Artin's solution to Hilbert's 17th problem,Tarski's decision procedure for the field of real num-bers, and research into quadratic forms. Drawing ex-tensively on original sources, Hourya Sinaceur dis-cusses not only the evolution of new mathematicalideas, but also their epistemological foundations andthe ways in which mathematical subdisciplines influ-ence one another. A wide audience of students andresearchers in both the sciences and humanities willbenefit from this fascinating chapter of intellectualhistory.

Contents

Foreword.- Mathematical Symbols and Abbrevia-tions.- Introduction.- I. C.F. Sturm's Theorem of Al-gebra.- II. The Algebraic Construction of Real Fieldsby Emil Artin and Otto Schreier.- III. Real Algebraand the Theory of Quadratic Forms.- IV. Logic andReal Algebra.- General Conclusion.- Glossary.- Bib-liography Relevant to Sturm's Theorem of Algebra.-General Bibliography.- Index.

Fields of interest

Mathematical Logic and Foundations; Algebra; Alge-braic Geometry; Field Theory and Polynomials; His-tory of Mathematics

Target groups

Graduate students and researchers in algebra, logic,algebraic geometry, and other fields of mathematics,as well as students and researchers in the history andphilosophy of science

Type of publication

Monograph

Due October 2009

2009. XXVI, 446 p. 5 illus. Hardcover

79,90 €

ISBN 978-0-8176-4114-6


S.S. Skiena, State University of New York, Stony Brook, NY, USA

The Algorithm Design Manual

The mathematical analysis of algorithms uses a va-riety of topics from discrete math--combinatorialanalysis, congruences, generating functions, graphtheory, and other tools. They are essential for anyoneto learn and programatically use and analyze com-putational structures (i.e., algorithms). This new ad-vanced text/reference presents a general computa-tional approach to discrete math. It will also serve asa brief manual to the accompanying combinatorialprogram, 'combinatorics.' [proposal attached]

Contents

1.Preliminaries; 2.Sums; 3.Integer Functions; 4.Num-ber Theory; 5.Binomial Coefficients; 6.Special Num-bers; 7.Generating Functions; 8.Discrete Probability;9.Graphy Theory

Fields of interest

Discrete Mathematics in Computer Science; Mathe-matics of Computing; Combinatorics

Target groups

Advanced undergraduates Practitioners Beginninggrads n/a

Type of publication


Due September 2008


52,00 €

ISBN 978-1-84800-069-8

C. Smorynski, Westmont, IL, USA


A Supplement

This book attempts to fill two gaps which exist inthe standard textbooks on the History of Mathe-matics. One is to provide the students with materi-al that could encourage more critical thinking. Gen-eral textbooks, attempting to cover three thousandor so years of mathematical history, must necessar-ily oversimplify just about everything, the practiceof which can scarcely promote a critical approach tothe subject. For this, a more narrow but deeper cov-erage of a few select topics is called for. Thesecond aim is to include the proofs of important re-sults which are typically neglected in the modern his-tory of mathematics curriculum. The most obviousof these is the oft-cited necessity of introducing com-plex numbers in applying the algebraic solution ofcubic equations. This solution, though it is now rele-gated to courses in the History of Mathematics, was amajor occurrence in history. It was the first substan-tial piece of mathematics in Europe that was not amere extension of what the Greeks [..]

Features

includes an annotated bibliographys of books on thehistory of mathematics emphasizes the importanceof using primary sources by looking at the distortionof historical facts over time author provides exercisesand research projects for students

Contents

Introduction.- Annotated Bibliography.- Founda-tions of Geometry.- The Construction Problems ofAntiquity.- A Chinese Problem.- The Cubic Equa-tion.- Horner’s Method.- Some Lighter Material.-Appendix A: Small Projects.- Index.

Fields of interest

History of Mathematics; Geometry; Algebra

Target groups

Advanced undergraduates, historians of mathe-matics, anyone with a general interest in the histo-ry/foundation of mathematics

Type of publication


Due January 2008


39,95 €

ISBN 978-0-387-75480-2

L. Socha, University of Warsaw, Poland

Linearization Methods for

Stochastic Dynamic Systems

For most cases of interest, exact solutions to non-linear equations describing stochastic dynam-ical systems are not available. The aim of thisbook is to give a systematic introduction to andoverview of the relatively simple and popularlinearization methods available. The scopeis limited to models with continuous external andparametric excitations, yet these cover the majorityof known approaches. The book contains an appli-cation chapter with emphasis on vibration analysisof stochastic mechanical structures as well as a chap-ter devoted to the assessment of the accuracy of thetheoretical methods presented, both with respect tonumerical and to experimental studies. The materialderives partly from graduate course notes developedby the author for courses and seminars over the past20 years.

Contents

Introduction.- Mathematical Preliminaries.- Mo-ment Equations or Linear Stochastic Dynamic Sys-tems (LSDS).- Moment Equations for NonlinearStochastic Dynamic Systems (NSDS).- StatisticalLinearizaiton of Stochastic Dynamic Systems UnderExternal Excitations.- Equivalent Linearization ofSTochastic Dynamic Systems Under External Excita-tion.- Nonlinearization Methods.- Linearization ofDynamic Systems With Stochastic Parametric Exci-tations.- Applications of Linearization Techniques inVibration Analysis of Stochastic Mechanical Struc-tures.- Accuracy of Linearization Techniques.

Fields of interest

Vibration, Dynamical Systems, Control; Mathemat-ical Methods in Physics; Probability Theory andStochastic Processes; Nonlinear Dynamics, ComplexSystems, Chaos, Neural Networks

Target groups


Type of publication

Monograph

Due October 2007



79,95 €

ISBN 978-3-540-72996-9


A. Soifer, University of Colorado, Colorado Springs, CO, USA

Geometric Etudes in Combinatorial

Mathematics

This second edition of Alexander Sofier’s GeometricEtudes in Combinatorial Mathematics provides sup-plementary reading materials to students of all lev-els interested in pursuing mathematics, especially inalgebra, geometry, and combinatorial geome-try. Within the text, the author outlinesan introduction to graph theory and combinatoricswhile exploring topics such as the pigeonhole prin-ciple, Borsuk problem, and theorems of Helly andSzokefalvi—Nagy. The book introduces these ideasalong with practical applications that will prepareyoung readers for the mathematical world. Geomet-ric Etudes in Combinatorial Mathematics is not on-ly educational; it is inspirational. This distinguishedmathematician captivates his readers, propellingthem to search for solutions of life’s problems- prob-lems that previously seemed hopeless.

Features

Appeals to talented students from various levels Pro-vides insights into combinatorial theory, geometryand graph theory Explores practical applications ofcombinatorial geometry Engages a general audience

Contents

Introductions.- Preface.- Tiling a Checker Rectan-gle.- Proofs of Existence.- A Word About Graphs.-Ideas of Combinatorial Geometry.- Continued.- Bib-liography.- Index.- Notations.

Fields of interest

Combinatorics; Geometry; Algebra

Target groups

Mature mathematicians and talented students at var-ious levels interested in problem solving techniques

Type of publication


Due July 2008

Originally published by Center of Excellence, 1991


19,25 €

ISBN 978-0-387-75469-7


How Does One Cut a Triangle?

This second edition of Alexander Sofier’s How DoesOne Cut a Triangle? demonstrates how different ar-eas of mathematics can be juxtaposed in the solutionof a given problem. To develop a clear “mini-mod-el” of mathematical research, Sofier employs geome-try, algebra, trigonometry, linear algebra, and rings.How Does One Cut a Triangle? contains many an-alytical proofs and counterexamples such as a pooltable problem, fifty dollar problem, five point prob-lem, and joint problem. By proving these addition-al examples, Sofier proves that research is a collec-tion of mathematical ideas that have been developedthroughout the course of history. The author bringsmathematics alive by giving the audience, a generalreadership, a taste of what mathematicians do. Hisbook presents open problems which invite the readerto actively play the role of the mathematician. By do-ing so, the author skillfully inspires the reader to dis-cover uncharted solutions while using his analyticalproofs and counterexamples as a [..]

Features

Aims to inspire talented students at various levelsand other mathematicians interested in similar prob-lems Offers insight on different problem solvingmethods used to attack the problem, “How DoesOne Cut a Triangle?” Presents example problemsand solutions as well as open problems Engages ageneral audience

Contents

Introductions.- Contents.- Preface.- Pool Table, Irra-tional Numbers, and Integral Independence.- Howdoes One Cut a Triangle? I.- Excursions in Algebra.-How Does One Cut a Triangle? II.- Excursion inTrigonometry.- Is There Anything Beyond the Solu-tion?.- Pursuit of the Best Result.- Convex Figuresand Functions S(F).- Faul Erdos: Our Joint.- ConvexFigures and Erdos' Function.- Appendices.- Bibliog-raphy.- Index.- Notations.

Fields of interest

Algebra; Combinatorics; Mathematics, general

Target groups

Students at various levels, as well as general reader-ship

Type of publication


Due April 2008

Originally published by Soifer, Alexander, 1990


15,40 €

ISBN 978-0-387-74650-0


Mathematics as Problem-Solving

This second edition of Alexander Sofier’s Mathe-matics as Problem-Solving explores various elemen-tary solving techniques for algebraic, geometric, andcombinatoric problems. Each chapter builds off theprevious one, enhancing the reader’s problem-solv-ing logic and level of understanding. The authorpresents each mathematical topic in self-containedchapters by outlining classical solutions as well as hisown secret discoveries found through problem-solv-ing experience. With roughly 200 problems and mul-tiple proofs for each, Sofier challenges the reader toapproach problems from different angles and expe-rience the mystery and beauty of mathematics. Writ-ten by a distinguished mathematician and renownedauthor, this book is a wonderful resource for stu-dents at various levels. Review of the first edition:“Retelling the best solutions and sharing the secretsof discovery are part of the process of teaching prob-lem solving. Ideally, this process is characterized bymathematical skill, good taste, and wit. [..]

Features

Aims to develop young mathematicians’ prob-lem-solving abilities Inspires readers to explore arange of methods of solving algebraic, geometric,and combinatorial problems Offers examples andpractice problems Engages a general audience Thefirst edition was Endorsed by the NCTM

Contents

Preface.- Language and a Few Celebrated Ideas.-Numbers.- Algebra.- Geometry.- CombinatorialProblems.- Literature.

Fields of interest

Algebra; Combinatorics; Geometry; Mathematics,general

Target groups

Students at various levels, educators, and the gener-al public interested in the methods of mathematicalproblem solving

Type of publication


Due April 2008

Originally published by the Soifer, Alexander, 1987


15,40 €

ISBN 978-0-387-74646-3


A. Soifer, University of Colorado, Colorado Springs, CO; Princeton

University, Math Department, Princeton, NJ

Colorado Mathematical Olympiad

The First Twenty Years and Further Explorations

Fields of interest

Algebra; History of Mathematics; Geometry; Appli-cations of Mathematics

Type of publication


Due July 2009


23,10 €

ISBN 978-0-387-75471-0

P.N.d. Souza, University of California, Berkeley, CA, USA; J.-N. Sil-

va, University of Lisbon, Portugal

Berkeley Problems in Mathematics

In 1977 the Mathematics Department at the Uni-versity of California, Berkeley, instituted a writtenexamination as one of the first major requirementstoward the Ph.D. degree in Mathematics. Its pur-pose was to determine whether first-year studentsin the Ph.D. program had successfully mastered ba-sic mathematics in order to continue in the programwith the likelihood of success. Since its inception,the exam has become a major hurdle to overcome inthe pursuit of the degree. The purpose of this bookis to publicize the material and aid in the prepara-tion for the examination during the undergraduateyears. The book is a compilation of over 1,250 prob-lems which have appeared on the preliminary examsin Berkeley over the last twenty-five years. It is aninvaluable source of problems and solutions for ev-ery mathematics student who plans to enter a Ph.D.program. Students who work through this book willdevelop problem-solving skills in areas such as realanalysis, multivariable calculus, differential [..]

Contents

Preface.- Problems.- Real Analysis.- MultivariableCalculus.- Differential Equations.- Metric Spaces.-Complex Analysis.- Algebra.- Linear Algebra.- Solu-tions.- Real Analysis.- Multivariable Calculus.- Dif-ferential Equations.- Metric Spaces.- Complex Anal-ysis.- Algebra.- Linear Algebra.- Appendices.- Refer-ences.- Index.

Fields of interest

Analysis; Algebra; Group Theory and Generaliza-tions; Linear and Multilinear Algebras, Matrix Theo-ry; Real Functions

Target groups

Undergraduate and graduate students in mathemat-ics

Type of publication

Reference work

Due July 2008

2008. (Problem Books in Mathematics) Hardcover

38,50 €

ISBN 978-0-387-74521-3

V. Srinivas, Tata Institute, India

Algebraic K-Theory

Algebraic K-Theory has become an increasingly ac-tive area of research. With its connections to algebra,algebraic geometry, topology, and number theory,it has implications for a wide variety of researchersand graduate students in mathematics. The book isbased on lectures given at the author's home institu-tion, the Tata Institute in Bombay, and elsewhere.A detailed appendix on topology was provided inthe first edition to make the treatment accessible toreaders with a limited background in topology. Thisnew edition also includes an appendix on algebraicgeometry that contains the required definitions andresults needed to understand the core of the book;this makes the book accessible to a wider audience.A central part of the book is a detailed exposition ofthe ideas of Quillen as contained in his classic papers“Higher Algebraic K-Theory, I, II.” A more elemen-tary proof of the theorem of Merkujev--Suslin is giv-en in this edition; this makes the treatment of thistopic self-contained. An [..]

Features

Appendices on topology and algebraic geometry pro-vide requisite background material for the subjectProvides many examples to solidify understanding inthe reader Discusses fundamentals and new researchextensions

Contents

Preface to the First Edition.- Preface to the SecondEdition.- “Classical” K-Theory.- The Plus Construc-tion.- The Classifying Space of a Small Category.-Exact Categories and Quillen's Q-Construction.- TheK-Theory of Rings and Schemes.- Proofs of the The-orems of Chapter 4.- Comparison of the Plus and Q-Constructions.- The Merkurjev--Suslin Theorem.-Localization for Singular Varieties.- Appendix A.Results from Topology.- Appendix B. Results fromCategory Theory.- Appendix C. Exact Couples.- Ap-pendix D. Results from Algebraic Geometry.- Bibli-ography.

Fields of interest

K-Theory; Algebraic Geometry; Algebraic Topology;Topology

Target groups

Graduate students and researchers interested in k-theory

Type of publication


Due November 2007

Originally published as volume 90 in the series: Progress in Math-

ematics

2008. XX, 342 p. (Modern Birkhäuser Classics) Softcover

34,90 €

ISBN 978-0-8176-4736-0


S.M. Srivastava, Indian Statistical Institute, Kolkata, India

A Course on Mathematical Logic

This textbook is written for advanced undegraduatesor first year graduate students of mathematics andcomputer science. It is also intended for the workingmathematician who wants to gain an appreciation ofMathematical Logic. There are no prerequisites forthis book; however, some mathematical maturity isrequired. The book is written in a totally mathemati-cal style, and any mathematician should feel at homereading this. The book starts with the definition offirst order languages, proceeds through proposition-al logic, completeness theorems, and finally the twoIncompleteness Theorems of Godel. In the process,the reader is also introduced to model theory and re-cursion Theory. After reading this book, the read-er will be ready to branch into model Theory, recur-sion Theory, axiomatic set theory or even theoreticalcomputer science. Logic is a very profound subject,Godel's work being one the most remarkable discov-eries in 20th-Century mathematics, having made anenormous impact on set theory, [..]

Features

Written in a clear, concise style Contains numerousexercises and examples Employs Godels complete-ness and incompleteness theorems to motivate theentire text Modern language and notation will appealto undergrads as well as graduate students

Contents

Introduction.- First-order languages.- Semantics offirst-order languages.- Propositional logic.- First-or-der theories.- Completeness theorem and model the-ory.- Recursive functions and arithmetization of the-ories.- Incompleteness theorems and recursion theo-ry.- References.- Index.

Fields of interest

Mathematical Logic and Foundations

Target groups

Advanced undergraduate/graduate math students

Type of publication


Due March 2008

2008. Approx. 160 p. 2 illus. (Universitext) Softcover

38,50 €

ISBN 978-0-387-76275-3

V. Staicu, University of Aveiro, Portugal (Ed.)

Differential Equations, Chaos and

Variational Problems

This collection of original articles and surveys writ-ten by leading experts in their fields is dedicated toArrigo Cellina and James A. Yorke on the occasionof their 65th birthday. The purpose of the volume isto bring the reader to the border of research in dif-ferential equations, a fast evolving branch of math-ematics that, besides being a main subject for math-ematicians, is one of the mathematical tools mostused both by scientists and engineers. It treats thenonlinear aspects of the theory of differential equa-tions, of the calculus of variations, dynamical sys-tems, as well as topics related to chaotic systems andtheir relations with physical problems. The readerwill find both some surveys of the more recent de-velopments in several topics related with differentialequations, chaos and variational problems, as wellas new contributions in active and important areasof research as Young measures, optimal control, dif-ferential and delay-differential equations and inclu-sions.

Features

High-quality articles in several different, but strong-ly related areas Contributions by prominent mathe-maticians covering a wide range of topics from ordi-nary differential equations, dynamical systems, cal-culus of variations, control theory, chaotic systemsand their relations with physical systems

Contents

Preface.- 34 contributions by highly distinguishedresearchers.

Fields of interest

Ordinary Differential Equations; Calculus of Varia-tions and Optimal Control; Optimization; Dynami-cal Systems and Ergodic Theory

Target groups

Graduates and researchers in differential equations,dynamical systems, calculus of variations, controltheory, physical systems

Type of publication

Proceedings

Due December 2007

2008. Approx. 444 p. (Progress in Nonlinear Differential Equa-

tions and Their Applications, Vol. 75) Hardcover

149,00 €

ISBN 978-3-7643-8481-4

O. Steinbach, Technische Universitat Graz, Austria

Numerical Approximation Methods

for Elliptic Boundary Value

Problems

Finite and Boundary Elements

The book contains chapter summaries and excercisesat the end of each chapter.

Features

Empahises boundary-element methods for whichthere are few books Suitable for self study Exercisesincluded

Contents

Boundary Value Problems.- Function Spaces.- Vari-ational Methods.- Variational Formulations forBoundary Value Problems.- Fundamental Solutionsof Partial Differential Equations.- Boundary IntegralOperators.- Boundary Integral Equations.- Numer-ical Methods for Variational Problems.- Finite El-ements.- Boundary Elements.- Boundary ElementMethods.- Preconditioned Iterative Solvers.- FastBoundary Element Methods.- Domain Decomposi-tion Methods.

Fields of interest

Numerical Analysis; Applications of Mathematics;Appl.Mathematics/Computational Methods of Engi-neering

Target groups

Graduate students and researchers

Type of publication


Due December 2007

Original German edition published by Teubner, Wiesbaden, Ger-

many, 2003

2008. X, 390 p. Hardcover

46,95 €

ISBN 978-0-387-31312-2


M.O. Steinhauser, Fraunhofer Ernst-Mach-Institute, Freiburg, Ger-

many

Computational Multiscale Modeling

of Fluids and Solids


The idea of the book is to provide a comprehensiveoverview of computational physics methods andtechniques, that are used for materials modeling ondifferent length and time scales. Each chapter firstprovides an overview of the physical basic princi-ples which are the basis for the numerical and math-ematical modeling on the respective length-scale.The book includes the micro-scale, the meso-scaleand the macro-scale. The chapters follow this classi-fication. The book will explain in detail many tricksof the trade of some of the most important methodsand techniques that are used to simulate materials onthe perspective levels of spatial and temporal reso-lution. Case studies are occasionally included to fur-ther illustrate some methods or theoretical consider-ations. Example applications for all techniques areprovided, some of which are from the author’s owncontributions to some of the research areas. Methodsare explained, if possible, on the basis of the originalpublications but also [..]

Features

First book on methods and numerical techniques onmultiscales in a concise way Recent applications

Contents

Part 1 Fundamentals: Introduction.- MultiscaleComputational Materials Science.- Mathematicaland Physical Prerequisites.- Fundamentals of Nu-merical Simulation.- Part II Computational Meth-ods on Multiscales: Computational Methods on Elec-tronic/Atomistic Scale.- Computational Methodson Microscopic/Mesoscopic Scale.- ComputationalMethods on Atomistic/Microscopic Scale.- Compu-tational Methods on Microscopic/Mesoscopic Scale.-Perspectives in Multiscale Materials Modeling.- Fur-ther Reading.- Mathematical Definitions.- SampleCode for the Main Routine of a MD Simulation.- ASample [..]

Fields of interest

Mathematical and Computational Physics; Math-ematical Methods in Physics; Mechanics, Fluids,Thermodynamics; Physical Chemistry; Physics andApplied Physics in Engineering

Target groups

Scientists

Type of publication

Monograph

Due November 2007

2008. XVII,427 p. with 141 illus. Hardcover

119,95 €

ISBN 978-3-540-75116-8

B. Straughan, Durham University, UK

Stability and Wave Motion in

Porous Media

This book presents an account of theories of flow inporous media which have proved tractable to anal-ysis and computation. In particular, the theoriesof Darcy, Brinkman, and Forchheimer are present-ed and analysed in detail. In addition, the theory ofvoids in an elastic material due to Cowin and Nunzi-ato is discussed. The range of validity of each theoryis outlined and the mathematical properties are con-sidered. The questions of structural stability, wherethe stability of the model itself is under considera-tion, and spatial stability are investigated. Applica-tions to a variety of problems in porous media areincluded. This book is intended for graduate stu-dents and researchers in the mechanics, physics andengineering fields.

Contents

Introduction.- Structural Stability.- Spatial Decay.-Convection in Porous Media.- Stability of otherporous flows.- Fluid - Porous Interface Problems.-Elastic Materials with Voids.- Poroacoustic Waves.-Numerical Solution of Eigenvalue Problems.- Refer-ences.

Fields of interest

Partial Differential Equations; Mechanics, Fluids,Thermodynamics; Engineering Fluid Dynamics; Me-chanics

Target groups

This book is intended for upper undregraduate andgraduate students, as well as researchers in the field.

Type of publication

Monograph

Due March 2008


61,60 €

ISBN 978-0-387-76541-9

F. Strocchi, Scuola Normale Superiore, Pisa, Italy

Symmetry Breaking

This new edition of Prof. Strocchi's well receivedprimer on rigorous aspects of symmetry breakingpresents a more detailed and thorough discussionof the mechanism of symmetry breaking in classi-cal field theory in relation with the Noether theo-rem. Moreover, the link between symmetry break-ing without massless Goldstone bosons in Coulombsystems and in gauge theories is made more explicitin terms of the delocalized Coulomb dynamics. Fur-thermore, the chapter on the Higgs mechanism hasbeen significantly expanded with a non-perturba-tive treatment of the Higgs phenomenon, at the ba-sis of the standard model of particle physics, in thelocal and in the Coulomb gauges. Last but not least,a subject index has been added and a number of mis-prints have been corrected. From the reviews of thefirst edition: The notion of spontaneous symmetrybreaking has proven extremely valuable, the problemis that most derivations are perturbative and heuris-tic. Yet mathematically precise versions do exist, butare not [..]

Contents

Symmetry Breaking in Classical Systems.- SymmetryBreaking in Quantum Systems.

Fields of interest

Mathematical Methods in Physics; Elementary Par-ticles, Quantum Field Theory; Topological Groups,Lie Groups; Physics beyond the Standard Model;Quantum Physics

Target groups

graduate students, lecturers and re-searchers.

Type of publication

Monograph

Due November 2007

Originally published as volume 643 in the same series

2007. X,216p. (Lecture Notes in Physics, Vol. 732) Hardcover

59,95 €

ISBN 978-3-540-73592-2


M. Struwe, ETH Zürich, Switzerland

Variational Methods

Applications to Nonlinear Partial Differential Equations and

Hamiltonian Systems

Hilbert's talk at the second International Congressof 1900 in Paris marked the beginning of a new erain the calculus of variations. A development be-gan which, within a few decades, brought tremen-dous success, highlighted by the 1929 theorem ofLjusternik and Schnirelman on the existence of threedistinct prime closed geodesics on any compactsurface of genus zero, and the 1930/31 solution ofPlateau's problem by Douglas and Radó. The bookgives a concise introduction to variational meth-ods and presents an overview of areas of current re-search in the field. The fourth edition gives a sur-vey on new developments in the field. In particu-lar it includes the proof for the convergence of theYamabe flow and a detailed treatment of the phe-nomenon of blow-up. Also the recently discoveredresults for backward bubbling in the heat flow forharmonic maps or surfaces are discussed. Aside fromthese more significant additions, a number of smallerchanges throughout the text have been made and thereferences [..]

Features

Gives a concise introduction to the field of Vari-ational Methods and presents an overview of ar-eas of current research in this field It is a valuablesource of reference for advanced students and re-searchers in the currently very active field of vari-ational methods The 4th edition now includes theproof for the convergence of the Yamabe flow and adetailed treatment of the phenomenon of blow-upSmaller changes [..]

Contents

The Direct Methods in the Calculus of Variations.-Lower Semi-Continuity.- Constraints.- Compensat-ed Compactness.- The Concentration-CompactnessPrinciple.- Ekeland's Variational Principle.- Duali-ty.- Minimization Problems Depending on Param-eters.- Minimax Methods.- The Finite Dimension-al Case.- The Palais-Smale Condition.- A Gener-al Deformation Lemma.- The Minimax Principle.-Index Theory.- The Mountain Pass Lemma and itsVariants.- Perturbation Theory.- Linking.- Parame-ter Dependence.- Critical Points of Mountain PassType.- Non-Differentiable Functionals.- Ljustern-ik-Schnirelman [..]

Fields of interest

Systems Theory, Control; Calculus of Variations andOptimal Control; Optimization; Analysis

Target groups

Students and researchers in the field of variationalmethods and their applications in various areas ofmathematics

Type of publication

Monograph

Due February 2008

2008. Approx. 320 p. 16 illus. (Ergebnisse der Mathematik und

ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in

Mathematics, Vol. 34) Hardcover

119,95 €

ISBN 978-3-540-74012-4

K. Tanuma, Gunma University, Kiryu, Japan

Stroh Formalism and Rayleigh

Waves

The Stroh formalism is a powerful and elegant math-ematical method developed for the analysis of theequations of anisotropic elasticity. The purpose ofthis exposition is to introduce the essence of this for-malism and demonstrate its effectiveness in bothstatic and dynamic elasticity. It is divided into threechapters. Chapter 1 gives a succinct introduction tothe Stroh formalism so that the reader could graspthe essentials as quickly as possible. In Chapter 2 sev-eral important topics in static elasticity, which in-clude fundamental solutions, piezoelectricity, andinverse boundary value problems, are studied onthe basis of the Stroh formalism. Chapter 3 is devot-ed to Rayleigh waves, which has long been a topicof the utmost importance in nondestructive evalua-tion, seismology, and materials science. Here topicssuch as existence, uniqueness, phase veloci-ty, polarization, and perturbation of Rayleigh wavesthrough the Stroh formalism are discussed.

Features

Introduces a powerful and elegant mathematicalmethod for the analysis of anisotropic elasticityequations The reader can grasp the essentials asquickly as possible Can be used as a textbook, whichpresents compactly introduction and applications ofthe Stroh formalism Appeals to the people not onlyin mathematics but also in mechanics and engineer-ing science Prerequisites are only basic linear alge-bra, [..]

Contents

From the contents Chapter 1: Stroh’s Formalism forStatic Elasticity. Chapter 2: Applications in StaticElasticity. Chapter 3: Rayleigh waves in Stroh’s for-malism.

Fields of interest

Appl.Mathematics/Computational Methods of Engi-neering; Partial Differential Equations; MathematicalMethods in Physics; Mechanics; Acoustics

Target groups

Researchers (including graduate students) of appliedmathematics, especially of differential equations, in-verse problems; theoretical engineering (e.g., rationalmechanics, materials science); geophysics

Type of publication

Monograph

Due October 2007

Reprinted from JOURNAL OF ELASTICITY, 89: (1)


59,95 €

ISBN 978-1-4020-6388-6

G. Tarantello, Università di Roma "Tor Vergata", Italy

Self-Dual Gauge Field Vortices

An Analytical Approach

In modern theoretical physics, gauge field theoriesare of great importance since they keep internal sym-metries and account for phenomena such as spon-taneous symmetry breaking, the quantum Hall ef-fect, charge fractionalization, superconductivity andsupergravity. This monograph discusses specific ex-amples of self-dual gauge field structures, includingthe Chern--Simons model, the abelian--Higgs mod-el, and Yang--Mills gauge field theory. The authorbuilds a foundation for gauge theory and self-dualvortices by introducing the basic mathematical lan-guage of gauge theory and formulating examples ofChern-Simons-Higgs theories (in both abelian andnon-abelian settings). Thereafter, the Electroweaktheory and self-gravitating Electroweak strings areexamined. The final chapters treat elliptic problemsinvolving Chern—Simmons models, concentra-tion-compactness principles, and Maxwell—Chern—Simons vortices. Many open questions still remainin the field and are examined in this work in connec-tion with [..]

Features

Provides foundation for gauge theory and self-du-al vortices Advanced chapters treat elliptic prob-lems involving Chern—Simmons models, concentra-tion-compactness principles, and Maxwell—Chern—Simons vortices Examines Electroweak theory andself-gravitating Electroweak strings Discusses openquestions in the field

Fields of interest

Partial Differential Equations; Quantum Physics;Mathematical and Computational Physics

Target groups

Researchers and graduate students interested inMathematical Physics

Type of publication

Monograph

Due March 2008

2008. XIV, 334 p. (Progress in Nonlinear Differential Equations

and Their Applications, Vol. 72) Hardcover

58,00 €

ISBN 978-0-8176-4310-2


G. Tian, MIT, Cambridge, MA, USA

Complex Monge-Ampere Equation

and Application on Kähler

Geometry

Fields of interest

Mathematics, general

Type of publication

Monograph

Due October 2008

Distribution rights for China: Higher Education Press, Beijing, Chi-

na

Jointly published with Higher Education Press, Beijing, China


69,90 €

ISBN 978-3-540-44052-9

J.P. Tian, Ohio State University, Columbus, OH, USA

Evolution Algebras and their

Applications

Behind genetics and Markov chains, there is an in-trinsic algebraic structure. It is defined as a typeof new algebra: as evolution algebra. This conceptlies between algebras and dynamical systems. Alge-braically, evolution algebras are non-associative Ba-nach algebras; dynamically, they represent discretedynamical systems. Evolution algebras have manyconnections with other mathematical fields includ-ing graph theory, group theory, stochastic process-es, dynamical systems, knot theory, 3-manifolds, andthe study of the Ihara-Selberg zeta function. In thisvolume the foundation of evolution algebra theo-ry and applications in non-Mendelian genetics andMarkov chains is developed, with pointers to some further research topics.

Contents

Introduction.- Motivations.- Evolution Algebras.-Evolution Algebras and Markov Chains.- EvolutionAlgebras and Non-Mendelian Genetics.- Further Re-sults and Research Topics.- References.- Index.

Fields of interest

General Algebraic Systems; Non-associative Ringsand Algebras; Probability Theory and Stochastic Pro-cesses; Mathematical Biology in General

Target groups

Researchers and graduate students in mathematicalbiology and algebra

Type of publication

Monograph

Due October 2007

2008. XI, 125 p. 9 illus. (Lecture Notes in Mathematics, Vol. 1921)

Softcover

39,95 €

ISBN 978-3-540-74283-8

R.F. Tichy, Technical University Vienna, Graz, Austria; H.P. Schlick-

ewei, Phillipps-University, Marburg, Germany; K. Schmidt, Uni-

versity of Vienna, Austria (Eds.)

Diophantine Approximation

Festschrift for Wolfgang Schmidt

This volume contains 21 research and survey paperson recent developments in the field of diophantineapproximation. This includes contributions to Wolf-gang Schmidt's subspace theorem and its applica-tions to diophantine equations and to the study oflinear recurring sequences. The articles are either inthe spirit of more classical diophantine analysis orof geometric or combinatorial flavour. Several arti-cles deal with estimates for the number of solutionsof diophantine equations as well as with congruencesand polynomials. Furthermore, the volume containstranscendence results for special functions and con-tributions to metric diophantine approximation anddiscrepancy theory. The articles are based on lecturesgiven at a conference at the Erwin Schrödinger-Insti-tute (Vienna, 2003), where many leading experts inthe field of diophantine approxiamtion participated.

Features

Current information on important branches of dio-phantine approximation from leading experts in thefield Diverse methods are presented The influence ofdiophantine approximation in other fields, e.g. com-binatorial geometry, game theory

Fields of interest

Algebra; Computational Mathematics and Numeri-cal Analysis; Number Theory

Target groups


Type of publication

Proceedings

Due February 2008

2008. Approx. 430 p. (Developments in Mathematics, Vol. 16)

Hardcover

99,95 €

ISBN 978-3-211-74279-2


E.F. Toro, University of Trento, Italy

Riemann Solvers and Numerical

Methods for Fluid Dynamics

A Practical Introduction

High resolution upwind and centered methods aretoday a mature generation of computational tech-niques applicable to a wide range of engineering andscientific disciplines, Computational Fluid Dynam-ics (CFD) being the most prominent up to now. Thistextbook gives a comprehensive, coherent and prac-tical presentation of this class of techniques. Thebook is designed to provide readers with an under-standing of the basic concepts, some of the underly-ing theory, the ability to critically use the current re-search papers on the subject, and, above all, with therequired information for the practical implementa-tion of the methods. Applications include: compress-ible, steady, unsteady, reactive, viscous, non-viscousand free surface flows. For this third edition, thebook was thoroughly revised. It contains substantialmore and new material both in its fundamental aswell as in its applied part.

Features

Comprehensive treatment of subject, practical ap-proach given in details Useful in practice Self-con-tained presentation of methods

Fields of interest

Theoretical and Applied Mechanics; Mathematicaland Computational Physics; Numerical Analysis;Fluids

Target groups

Scientists and advanced students in mechanical engi-neering and physics

Type of publication

Monograph

Due October 2009


129,95 €

ISBN 978-3-540-25202-3

W. Truszkowski, NASA Goddard Space Flight Center, USA; L. Hal-

lock, NASA Goddard Space Flight Center, USA; C. Rouff, Science

Applications International Corporation; J. Karlin, Viable Systems,

Inc. USA; J. Rash, University of Maryland, Baltimore County, USA;

M. Hinchey, NASA Goddard Space Flight Center, USA; R. Sterritt,

University of Ulster, UK (Eds.)

Autonomous and Autonomic

Systems

With Applications to NASA Intelligent Spacecraft Operations

and Exploration Systems

This book provides an in-depth discussion of au-tonomous and autonomic systems, their interdepen-dencies, differences and similarities. Current andpending issues in these evermore increasingly im-portant subjects are highlighted and discussed. Con-cepts, ideas and experiences are explored in relationto real-life NASA systems in spacecraft control andin the exploration domain.

Features

Unique combination of spacecraft, autonomous andautonomic systems

Contents

From the Contents: Part I Background.- Introduc-tion.- Direction of New Space Mission.- Overview ofFlight and Ground Software.- Flight vs. Ground Im-plementation.- Flight Autonomy Evolution.- CurrentLevels of Flight Automation/Autonomy.-GroundAutonomy Evolution.- Agents for Ground Auton-omy.- Part II Technology.- Core Technologies forDeveloping Autonomous and Autonomic Systems.-Reasoning with Partial Information.- Agent-basedSpacecraft Autonomy Design Concepts.- Flight Soft-ware Backbone Concept.- Cooperative Autonomy.-Need for Cooperative Autonomy in Space Missions.-Expectations of [..]

Fields of interest

Artificial Intelligence (incl. Robotics); Simulationand Modeling; Extraterrestrial Physics, Space Sci-ences

Target groups

NASA employees and Contractors / Researchers

Type of publication

Monograph

Due April 2008

2008. Approx. 316 p. (NASA Monographs in Systems and Soft-

ware Engineering) Hardcover

76,95 €

ISBN 978-1-84628-232-4

A.A. Tsonis, University of Wisconsin, Milwaukee, WI, USA; J.B. El-

sner, Florida State University, Tallahassee, FL, USA (Eds.)

Nonlinear Dynamics in Geosciences

Nonlinear Dynamics in Geosciences is comprised ofthe proceedings of "20 Years of Nonlinear Dynam-ics in Geosciences", held June 11-16, 2006 in Rhodes,Greece as part of the Aegean Conferences. The vol-ume brings together the most up-to-date researchfrom the atmospheric sciences, hydrology, geology,and other areas of geosciences, and discusses the ad-vances made and the future directions of nonlineardynamics. Topics covered include predictability, en-semble prediction, nonlinear prediction, nonlineartime series analysis, low-dimensional chaos, nonlin-ear modeling, fractals and multifractals, bifurcation,and other aspects of nonlinear science.

Features

Discusses the past and future application of nonlin-ear dynamics in geosciences Includes the most up-to-date research in nonlinear dynamics Illustratedthroughout

Contents

Preface.- Introducing Networks in Climate Studies.-Two Paradigms in Landscape Dynamics: Self-Simi-lar Processes and Emergence.- Effects of Systematicand Random Errors on the Spatial Scaling Propertiesin Radar-Estimated Rainfall.- Nonlinear Dynamicsin the Earth’s Magnetosphere.- Microseism Activi-ty and Equilibrium Fluctuations.- An ExponentialLangevin-type Model for Rainfall Exhibiting Spatialand Temporal Scaling.- Storm Tracking and Ensem-ble Prediction .- Towards a Nonlinear GeophysicalTheory of Floods in River Networks: An Overview of20 Years of Progress.- Investigations of [..]

Fields of interest

Math. Applications in Geosciences; Nonlinear Dy-namics, Complex Systems, Chaos, Neural Networks;Environmental Computing/Environmental Mod-elling; Meteorology/Climatology; Geoecology/Natu-ral Processes

Target groups

Researchers in Atmospheric Science, Hydrology, Ge-ology, and other areas of Geosciences involving Non-linear Dynamics

Type of publication

Proceedings

Due October 2007

2007. XX, 604 p. 302 illus., 55 in color. Hardcover

149,95 €

ISBN 978-0-387-34917-6


I. Tsukerman, University of Akron, OH, USA

Computational Methods for

Nanoscale Applications

Particles, Plasmons and Waves

This book provides new perspectives on modernnanoscale problems where fundamental sciencemeets technology and computer modeling. In addi-tion to well-known computational techniques suchas finite-difference schemes, finite element analysisand Ewald summation, the book presents a new fi-nite-difference calculus of Flexible Local Approxima-tion MEthods (FLAME) that qualitatively improvesthe numerical accuracy in a variety of problems. Ap-plication areas in the book include long-range parti-cle interactions in homogeneous and heterogeneousmedia, electrostatics of colloidal systems, wave prop-agation in photonic crystals, photonic band struc-ture, plasmon field enhancement, and metamaterialswith backward waves and negative refraction. Com-putational Methods for Nanoscale Applications: Par-ticles, Plasmons and Waves is accessible to specialistsand graduate students in diverse areas of nanoscalescience and technology, including physicists, engi-neers, chemists, and applied mathematicians. In ad-dition, [..]

Features

Utilizes a two-tiered style of exposition: intuitive ex-planation of key principles in the first tier and fur-ther technical details in the second Bridges the gapbetween physics and engineering and computer sci-ence Presents the fundamentals of computationalmethods, electromagnetic theory, colloidal systemsand photonic structures together with applicationsCovers "hot topics" in photonics, plasmonics, and [..]

Contents

Introduction.- Finite-Difference Schemes.- Long-Range Interactions in Free Space.- The Finite Ele-ment Method.- Flexible Local Approximation MEth-ods (FLAME).- Long-Range Interactions in Hetero-geneous Systems.- Applications in Nano-Photonics.-References.- Index.

Fields of interest

Nanotechnology; Mathematical and ComputationalPhysics

Target groups

Researchers in academia and industry specializing innanoscale systems, photonics, molecular modelingand computational science; engineers interested inthe design of highly sensitive nano-optical devices;college professors and instructors developing cours-es in nanoscale applications and simulation; gradu-ate students and senior undergraduate students inphysics, chemistry, engineering, and biology whowish to learn the fundamentals and applications ofnanoscale simulation, computational [..]

Type of publication

Monograph

Due December 2007

2008. VIII, 474 p. 159 illus. (Nanostructure Science and Technolo-

gy) Hardcover

99,35 €

ISBN 978-0-387-74777-4

L.W. Tu, Tufts University, Medford, MA, USA

An Introduction to Manifolds

Manifolds, the higher-dimensional analogs ofsmooth curves and surfaces, are fundamental ob-jects in modern mathematics. Combining aspects ofalgebra, topology, and analysis, manifolds have al-so been applied to classical mechanics, general rel-ativity, and quantum field theory. In this stream-lined introduction to the subject, the theory of mani-folds is presented with the aim of helping the readerachieve a rapid mastery of the essential topics. By theend of the book the reader should be able to com-pute, at least for simple spaces, one of the most ba-sic topological invariants of a manifold, its de Rhamcohomology. Along the way the reader acquires theknowledge and skills necessary for further studyof geometry and topology. The requisite point-settopology is included in an appendix of twenty pages;other appendices review facts from real analysis andlinear algebra. Hints and solutions are provided tomany of the exercises and problems. This work maybe used as the text for a one-semester graduate [..]

Features

Assumes only one semester of algebra and twosemesters of undergraduate analysis, so is accessibleto undergraduates and graduate students Modestyof scope allows the most essential topics to emergeclearly Provides hints and solutions to about half ofthe exercises, so may be used in the classroom or forindependent study Includes an introduction to thenecessary topics in point-set topology, so book is [..]

Contents

A Brief Introduction.- Part I. The Euclidean Space.-Smooth Functions on R(N).- Tangent Vectors InR(N) as Derivations.- Alternating K-Linear Func-tions.- Differential Forms on R(N).- Part II. Mani-folds.- Manifolds.- Smooth Maps on A Manifold.-Quotient.- Part III. The Tangent Space.- The Tan-gent Space.- Submanifolds.- Categories And Func-tors.- The Image of A Smooth Map.- The TangentBundle.- Bump Functions and Partitions of Unity.-Vector Fields.- Part IV. Lie Groups and Lie Alge-bras.- Lie Groups.- Lie Algebras.- Part V. Differen-tial Forms.- Differential 1-Forms.- Differential K-Forms.- [..]

Fields of interest

Manifolds and Cell Complexes (incl. Diff.Topology);Global Analysis and Analysis on Manifolds; Differ-ential Geometry

Target groups

First-year graduate students and advanced under-graduates in mathematics and physics

Type of publication


Due November 2007

2008. 384 p. 104 illus. (Universitext) Softcover

39,95 €

ISBN 978-0-387-48098-5

F.E. Udwadia, University of Southern California, Los Angeles, CA,

U.S.A.

Introduction to the Theory of Linear

Vibrations and its Applications

Linear vibrations is a topic of central interest in nu-merous fields of engineering and is widely applica-ble to civil, mechanical, aerospace, and biomedicalengineering. This book deals with the elements ofthe theory of linear vibrations and its applications.The theory of linear vibrations is systematically de-veloped starting from the basics. In a systematicmanner, the author deals with single-degree of free-dom systems before progressing to the more com-plex multi-degree of freedom systems. Topics suchas Laplace transforms, complex frequency respons-es, elements of feedback control and aspects of time-delayed control and its applications are discussedat the end. A set of graded problems, to exercise theunderstanding of the student, is provided at the endof each chapter. Numerous illustrative examples areprovided in each chapter alongside the developmentof the theory. In addition, there are two chaptersspecifically devoted to illustrative examples and ap-plications. By including topics from [..]

Features

Set of graded problems, to exercise the understand-ing of the student, is provided at the end of eachchapter Numerous illustrative examples are provid-ed in each chapter alongside the development of thetheory Two chapters specifically devoted to illustra-tive examples and applications Includes topics fromstability and control theory to provide the studentwith a broader view of the applications

Contents

Basic Mechanics, Single Degree of Freedom Sys-tems.- Undamped Single Degree of Freedom (SDOF)Systems, Free Vibrations.- Damped SDOF Systems,Free Vibrations.- Harmonic Excitation of DampedSDOF Systems, Resonance.- Isolation of Instrumentsand Foundations, Motion Sensing Instrumentation.-Response of Damped SDOF Systems to GeneralExcitations.- Damping in Structural and Mechan-ical Systems, Viscous, Structural, Bouc-Wen, andCoulomb Damping.- Illustrative Examples and Ap-plications of SDOF Systems.- Laplace Transforms,Complex Frequency Response; Elements of Struc-tural Feeddback Control, [..]

Fields of interest

Vibration, Dynamical Systems, Control; Applica-tions of Mathematics; Mechanical Engineering; The-oretical and Applied Mechanics; Computational Sci-ence and Engineering

Target groups

Seniors, first year graduate students in engineering,applied mathematicians

Type of publication


Due December 2008

2009. Approx. 385 p. 40 illus. (Mathematical Concepts and Meth-

ods in Science and Engineering, Vol. 51) Hardcover

ISBN 978-0-387-31052-7


J.M. Urbano, Universidade de Coimbra, Portugal

The Method of Intrinsic Scaling

A Systematic Approach to Regularity for Degenerate and Sin-

gular PDEs

This set of lectures, which had its origin in a minicourse delivered at the the Summer Program of IM-PA (Rio de Janeiro), is an introduction to intrinsicscaling, a powerful method in the analysis of degen-erate and singular PDEs. In the first part, the theoryis presented from scratch for the model case of thedegenerate p-Laplace equation. This approach bringsto light what is really essential in the method, leavingaside technical refinements needed to deal with moregeneral equations, and is entirely self-contained. Thesecond part deals with three applications of the the-ory to relevant models arising from flows in porousmedia and phase transitions. The aim is to convincethe reader of the strength of the method as a system-atic approach to regularity for this important class ofequations.

Fields of interest


Target groups

Researchers and graduate students in partial differ-ential equations

Type of publication

Monograph

Due January 2008

2008. VI, 136 p. (Lecture Notes in Mathematics, Vol. 1930) Soft-

cover

29,95 €

ISBN 978-3-540-75931-7

R.J. Vanderbei, Princeton University, NJ, USA

Linear Programming

Foundations and Extensions

Linear Programming: Foundations and Extensionsis an introduction to the field of optimization. Thebook emphasizes constrained optimization, begin-ning with a substantial treatment of linear program-ming, and proceeding to convex analysis, networkflows, integer programming, quadratic program-ming, and convex optimization. The book is careful-ly written. Specific examples and concrete algorithmsprecede more abstract topics. Topics are clearly de-veloped with a large number of numerical examplesworked out in detail. Moreover, Linear Program-ming: Foundations and Extensions underscores thepurpose of optimization: to solve practical problemson a computer. Accordingly, the book is coordinat-ed with free efficient C programs that implementthe major algorithms studied: The two-phase sim-plex method; The primal-dual simplex method; Thepath-following interior-point method; The homoge-neous self-dual methods. In addition, there are on-line JAVA applets that illustrate various pivot rulesand variants of the [..]

Features

Includes material on traditional business applica-tions (resource allocation, blending, network flows)plus applications from other areas (robust statistics,game theory, optimal design of physical structures,etc.) Includes many small fixes throughout the book,as well as a new chapter on financial applications,specifically portfolio optimization and option pricingBreaks with tradition and develops the [..]

Contents

Preface.- Preface to 2nd edition.- Preface to 3rd edi-tion.- Introduction.- The Simplex Method.- Degen-eracy.- Efficiency of the Simplex Method.- Dualitymethod.- The Simplex Method in matrix notation.-Sensitivity and parametric analyses.- Implementationissues.- Problems in general form.- Convex analysis.-Game theory.- Regression.- Financial applications.-Network flow problems.- Applications.- Structuraloptimization.- The central path.- A path-followingmethod.- The KKT system.- Implementation issues.-The affine-scaling method.- The homogeneous self-dual method.- Integer [..]

Fields of interest

Operations Research, Mathematical Programming;Operation Research/Decision Theory; Optimization;Mathematical Modeling and Industrial Mathemat-ics; Engineering Economics, Organization, Logistics,Marketing; Industrial and Production Engineering

Target groups

Engineers, quantitative business researchers andpractitioners, as well as academic and research li-braries

Type of publication

Monograph

Due December 2007



74,95 €

ISBN 978-0-387-74387-5

P. Vassilevski, Lawrence Livermore National Laboratory, Liver-

more, CA, USA

Multilevel Block Factorization

Preconditioners

Matrix-based Analysis and Algorithms for Solving Finite Ele-

ment Equations

This book presents techniques for solving systemsof linear equations which typically arise in the nu-merical solution of partial differential equations.The approach, as well as the specific topics cov-ered, offers a new insight into topics relat-ed to preconditioned iterative methods. The theoryutilizes matrix-vector notation. The text focuses onthe author’s work but also discusses efficient meth-ods such as the multi-grid or its recently developedalgebraic multi-grid as well as domain decomposi-tion methods. A motivational introductory chap-ter covers some of the basic material used through-out the book. The presentation is rigorous and self-contained. Four useful appendices are included atthe end. Readers will benefit from a basic familiari-ty with finite element methods. This book will serveas an excellent reference for practitioners and re-searchers. It could also be used for a topics course atthe graduate level.

Features

Uses block-matrix factorization to represent impor-tant developments in the field such as the algebraicmulti-grid and domain decomposition methods Rig-orous and self-contained presentation Includes fouruseful appendices Excellent reference for practition-ers and researchers

Contents

Part I: Motivation for preconditioning.- A fi-nite element tutorial.- The main goal.- Part II: Blockfactorization preconditioners.- Two-by-two blockmatrices.- Classical examlpes of block factoriza-tions.- Multigrid (MG).- Topics in algebraic multi-grid (AMG).- Domain Decomposition (DD).- Non-symmetric and indefinite matrices.- Precondition-ing saddle-point matrices.- Variable-step iterativemethods.- Preconditioning nonlinear problems.-Quadratic constrained minimization problems.- PartIII: Appendices.- GCG Methods.- Properties of finiteelement matrices.- Computable scales of [..]

Fields of interest

Linear and Multilinear Algebras, Matrix Theory;Partial Differential Equations; Computational Math-ematics and Numerical Analysis

Target groups

Graduate students, practitioners and researchers initerative methods and numerical linear algebra

Type of publication

Monograph

Due March 2008

2007. XX, 524 pp. Hardcover

77,00 €

ISBN 978-0-387-71563-6


R. Vazquez, University of Seville, Seville, Spain; M. Krstic, Universi-

ty of California, San Diego, CA, USA

Control of Turbulent and

Magnetohydrodynamic Channel

Flows

Boundary Stabilization and State Estimation

This monograph presents new constructive designmethods for boundary stabilization and boundaryestimation for several classes of benchmark prob-lems in flow control, with potential applications toturbulence control, weather forecasting, and plasmacontrol. The basis of the approach used in thework is the recently developed continuous backstep-ping method for parabolic partial differential equa-tions, expanding the applicability of boundary con-trollers for flow systems from low Reynolds numbersto high Reynolds number conditions. Specific topicsand features include an introduction of control andstate estimation designs for flows that include ther-mal convection and electric conductivity; applica-tion of a special "backstepping" approach where theboundary control design is combined with a partic-ular Volterra transformation of the flow variables;unprecedented results for closed-formexpressions for the solutions of linearized Navier–Stokes equations under feedback; and extension of[..]

Features

A unique “backstepping” approach is presented andextended to eliminate one of the well-recognizedroot causes of transition to turbulence New resultsin fluid dynamics and the analysis of Navier–Stokesequations are presented For a broad, interdisci-plinary readership of graduate students, researchers,and practitioners in control, fluid mechanics, me-chanical, aerospace, chemical, and electrical engi-neering, [..]

Contents

Preface.- Introduction.- Thermal-Fluid Convec-tion Loop: Boundary Stabilization.- Thermal-Flu-id Convection Loop: Boundary Estimation andOutput-Feedback Stabilization.- 2D Navier–StokesChannel Flow: Boundary Stabilization.- 2D Navier–Stokes Channel Flow: Boundary Estimation.- 3DMagnetohydrodynamic Channel Flow: BoundaryStabilization.- 3D Magnetohydrodynamic Chan-nel Flow: Boundary Estimation.- 2D Navier–StokesChannel Flow: Stable Flow Transfer.- Open Prob-lems.- Bibliography.- Index

Fields of interest

Systems Theory, Control; Engineering Fluid Dynam-ics; Partial Differential Equations; Mechanical Engi-neering; Engineering Thermodynamics, TransportPhenomena; Fluids

Target groups

Graduate students, researchers, and practitionersin control, fluid mechanics, mechanical, aerospace,chemical, and electrical engineering, as well as ap-plied mathematics

Type of publication

Monograph

Due December 2007

2008. X, 214 p. 14 illus. (Systems & Control: Foundations & Appli-

cations) Hardcover

54,90 €

ISBN 978-0-8176-4698-1

I. Veselic, Technical University Chemnitz, Germany

Existence and Regularity Properties

of the Integrated Density of States

of Random Schrödinger Operators

The theory of random Schrödinger operators is de-voted to the mathematical analysis of quantum me-chanical Hamiltonians modeling disordered solids.Apart from its importance in physics, it is a multi-faceted subject in its own right, drawing on ideasand methods from various mathematical disciplineslike functional analysis, selfadjoint operators, PDE,stochastic processes and multiscale methods. Thepresent text describes in detail a quantity encodingspectral features of random operators: the integrat-ed density of states or spectral distribution function.Various approaches to the construction of the inte-grated density of states and the proof of its regular-ity properties are presented. The setting is generalenough to apply to random operators on Rieman-nian manifolds with a discrete group action. Refer-ences to and a discussion of other properties of theIDS are included, as are a variety of models beyondthose treated in detail here.

Contents

Random Operators.- Existence of the IntegratedDensity of States.- Wegner Estimate.- Wegner'sOriginal Idea. Rigorous Implementation.- LipschitzContinuity of the IDS.- Appendix: Properties of theSpectral Shift Function.

Fields of interest

Partial Differential Equations; Dynamical Systemsand Ergodic Theory

Target groups


Type of publication

Monograph

Due December 2007

2008. XIII, 142 p. (Lecture Notes in Mathematics, Vol. 1917) Soft-

cover

29,95 €

ISBN 978-3-540-72689-0


M. Vujicic, Novi Beograd, Serbia; J. Sanderson, University of St.

Andrews, UK (Ed.)

Linear Algebra Thoroughly

Explained

Milan Vujicic was Professor of Theoretical Physicsat the University of Belgrade and the book is basedon lectures he gave there to both undergraduateand postgraduate students over a period of severaldecades. He also lectured on the applications of lin-ear algebra in particle physics at the University ofAdelaide and, after retirement, taught the subject atthe most basic level to Teaching Diploma studentsat the University of Malta. It was his success in thismost recent endeavour that inspired him to writethis book which sets out to explain Linear Algebrafrom its fundamentals to the most advanced levelwhere he, himself, used it throughout his career tosolve problems involving linear and anti-linear cor-relations and symmetries in quantum mechanicalapplications. Linear Algebra is one of the most im-portant topics in mathematics, of interest in its ownright to mathematicians, but also as an enormouslypowerful tool in the applied sciences, particularly inphysics and engineering. A special [..]

Features

Subject is taught and illustrated by numerousworked examples Much more comprehensive cover-age of subjects than competitors

Contents

Part 1: Vector Spaces.- Part 2: Linear Mappingsand Linear Systems.- Part 3: Inner-Product VectorSpaces.- Part 4: Dual Spaces and the Change of Ba-sis.- Part 5: The Eigen Problem or Diagonal Formof Representing Matrices.- Part 6: Tensor Productof Unitary Spaces.- Part 7: The Dirac Notation inQuantum Mechanics: Dualism between UnitarySpaces and Isodualism between their Superspaces.

Fields of interest

Mathematical Methods in Physics; Algebra

Target groups

Students in physics

Type of publication


Due November 2007


59,95 €

ISBN 978-3-540-74637-9

S. Wagon, Macalester College, St. Paul, MN, USA

Mathematica in Action

With the third edition of his popular Mathemati-ca in Action, award-winning author Stan Wagonguides readers through the important changes thathave been made to Mathematica 6.0. To uti-lize the more sophisticated graphics capabilities of6.0, Wagon has significantly expanded the chapterson surfaces and the parametric plotting of surfaces.The chapter on differential equations now includesmaterial from VisualDSolve, built into Mathematica6.0. Like previous editions, this is not only an intro-duction to Mathematica 6.0, but also a tour of mod-ern mathematics by one of the field’s most gifted ex-positors. Wagon explores some of the most impor-tant areas of modern mathematics with new chapterson optimization, including algebraic and numericaloptimization, and linear and integer programming.Connections are also made to computer science withnew material on graphs and networks. AllMathematica code is included on a CD, saving stu-dents hours of typing. Wagon is the author ofnine [..]

Features

- Utilizes the enhanced graphics capabili-ties of Mathematica 6.0, with expanded chapters onsurfaces and the parametric plotting of surfaces -New chapters on optimization, graphs, andnetworks introduces material of current interest withconnections to programming and computer science- CD containing all Mathematica code saves stu-dents hours of typing - 16 pages of color illustrations- Clearly [..]

Contents

Preface.- A Brief Introduction.- Plotting.- PrimeNumbers.- Rolling Wheels.- Surfaces.- The CantorSet, Real and Complex.- The Quadratic Map.- TheRecursive Turtle.- Parametric Plotting of Surfaces.-Penrose Tiles.- Fractals, Ferns, and Julia Sets.- Cus-tom Curves.- Solving Equations.- Differential Equa-tions.- Public-Key Encryption.- Egyptian Fractions.-The Ancient and Modern Euclidean Algorithm.-Imaginary Primes and Prime Imaginaries.- Certify-ing Primality.- Check Digits and the Pentagon.- NewDirections for pi.- Rearrangement of Series.- Com-putational Geometry.- Coloring Planar Maps [..]

Fields of interest

Computational Mathematics and Numerical Analy-sis; Mathematical Software; Visualization; Applica-tions of Mathematics

Target groups

Undergraduate and graduate students in mathemat-ics, the physical and biological sciences, and engi-neering.

Type of publication


Due March 2009


46,20 €

ISBN 978-0-387-75366-9

P. Wellin, California State University, Sonoma, CA, USA; T. Gayley

Computer Simulations with

Mathematica and Java

The first edition of Computer Simulations withMathematica drew on the capabilities of Mathemat-ica to prototype algorithms & to write code ina variety of programming styles, choosing the ap-propriate style for the problem at hand. Today, run-ning very large simulations in Mathematics is quitefeasible, within an order of magnitude of compliedC and Fortran code. This new edition takes advan-tage of these features & includes the follow-ing significant additions: • Java has become a com-monly used tool for working with scientific applica-tions. This book fully incorporates Java programs torun the simulations that are described & imple-mented in the book. • This is one of the first booksto describe & take advantage of Mathematica6, which contains a fantastic array of new visualiza-tion functions & dynamic interactive graphicsmachinery. • Several websites are maintained withMathematica notebooks, C source code & com-piled C Binaries for various platforms. A minimalbackground [..]

Features

One of the first books to describe and take advantageof Mathematica 6, which contains a fantastic array ofnew visualization functions and dynamic interactivegraphics machinery Contains visualizations of themany simulations written in Mathematica and Java,with the Java simulations appearing on a website forthe book Fully incorporates Java programs to run thesimulations The new edition takes full [..]

Contents

Probabilistic Systems.- The Random Walk.- TheSelf-avoiding Walk.- Accretion.- Kinetic GrowthModels.- Percolation Clustering.- Ising Model.- Co-evolution Model.- Cellular Automata Systems.- TheGame of Life.- Self-organized Critical Systems.- TheQ2R Ising Model.- Excitable Media.- Traffic.- For-est Fires.- Cellular Automata and Complexity.- Ap-pendices.- Mathematica Programming.- Java.- JavaSource Code

Fields of interest

Simulation and Modeling; Mathematical Methodsin Physics; Numerical and Computational Methods;Computer Science, general; Algorithms

Target groups

Undergraduates, graduates, researchers

Type of publication


Due July 2008


54,95 €

ISBN 978-1-84628-287-4


K. Williams, Kim Williams Books, Torino, Italy; S. Caparrini, Orbas-

sano (Torino), Italy (Eds.)

Discovering the Principles of

Mechanics 1600-1800

Essays by David Speiser

This book assembles 21 essays on the history of me-chanics and mathematical physics written by DavidSpeiser from 1961 to 2003. The period dealt withgoes from the beginning of the seventeenth centu-ry through the eighteenth century. In particular, theessays discuss developments in elasticity, rigid bod-ies, gravitation, the principle of relativity, optics, andfirst principles. David Speiser examines the work ofGalileo, Huygens, Newton, Leibniz, the Bernoullis,Euler, Maupertuis, and Lambert. Sandro Caparri-ni and Kim Williams have selected the papers thatpresent a cohesive overview of a crucial period in thehistory of mechanics by a historian and physicist ofrenown. Ordered chronologically with regards to thescientific developments, this collection presents ahistory of mechanics during the period under con-sideration.

Features

First book of collected essays of David Speiser Theessays, two of which are previously unpublished,have all been re-edited and include updated refer-ences, bibliographies, and editors' notes Essays pre-viously pubished in French, German and Italian aretranslated for the first time into English

Contents

From the contents Galileo and the beginning of thetheory of elasticity.- The discovery of the foundationof rigid body dynamics.- Newton's Principia.- TheKepler problem from Newton to John Bernoulli.- Jo-hann Bernoulli’s work on the theory of gravitationand on the weight of the atmosphere.- The science ofmechanics in the 18th century.- The principle of rel-ativity in Euler's work.- L. Euler, The principle of rel-ativity and the fundamentals of classical mechanics.-The distance of the fixed stars and the riddle of thesun's radiation.

Fields of interest


Target groups

Historians of mathematics, historians of physics

Type of publication


Due March 2008


89,90 €

ISBN 978-3-7643-8564-4

M. Wilson, University of Vermont, Burlington, VT, USA

Weighted Littlewood-Paley

Theory and Exponential-Square

Integrability

Littlewood-Paley theory is an essential tool of Fouri-er analysis, with applications and connections toPDEs, signal processing, and probability. It extendssome of the benefits of orthogonality to situationswhere orthogonality doesn’t really make sense. Itdoes so by letting us control certain oscillatory infi-nite series of functions in terms of infinite series ofnon-negative functions. Beginning in the 1980s, itwas discovered that this control could be made muchsharper than was previously suspected. The presentbook tries to give a gentle, well-motivated introduc-tion to those discoveries, the methods behind them,their consequences, and some of their applications.

Contents

Some Assumptions.- An Elementary Introduction.-Exponential Square.- Many Dimensions.- Smooth-ing.- The Calderon Reproducing Formula I.- TheCalderon Reproducing Formula II.- The CalderonReproducing Formula III.- Schroedinger Opera-tors.- Some Singular Integrals.- Spaces.- Goodbyeto Good-Lambda.- A Fourier-Multiplier Theorem.-Vector-Valued Inequalities.- Random Pointwise Er-rors.- Index.- References.

Fields of interest

Fourier Analysis; Partial Differential Equations

Target groups

Researchers and graduate students in fourier analy-sis, signal processing, and Schroedinger operators

Type of publication

Monograph

Due October 2007

2008. XIII, 224 p. (Lecture Notes in Mathematics, Vol. 1924) Soft-

cover

39,95 €

ISBN 978-3-540-74582-2

M.V. Wüthrich, ETH Zürich, Switzerland; H. Bühlmann, ETH

Zürich, Switzerland; H. Furrer, Swiss Life, Switzerland

Market-Consistent Actuarial

Valuation

It is a challenging task to read the balance sheet of aninsurance company. This derives from the fact thatdifferent positions are often measured by differentyardsticks. Assets, for example, are mostly valued atmarket prices whereas liabilities are often measuredby established actuarial methods. Market-ConsistentActuarial Valuation presents powerful methods tomeasure liabilities and assets in the same way. Themathematical framework that leads to market-con-sistent values for insurance liabilities is explained indetail by the authors. Topics covered are Stochasticdiscounting, Valuation portfolio in life and non-lifeinsurance, Asset and liability management, Financialrisks, Insurance technical risks, and Solvency.

Features

First title on a very hot topic in insurance First titleof the new EAA Lecture Notes series

Contents

Introduction.- Stochastic discounting.- Valuationportfolio in life insurance.- Financial risks.- Valua-tion portfolio in non-life insurance.- Selected topics.

Fields of interest

Quantitative Finance; Finance /Banking

Target groups

Graduate students and scientists in insurance andquantitative finance

Type of publication


Due October 2007

2008. VIII, 120 p. 13 illus. Also available online. (EAA Lecture

Notes) Softcover

19,95 €

ISBN 978-3-540-73642-4


M. Yor (Ed.)

Aspects of Mathematical Finance

Considering the stupendous gain in importance, inthe banking and insurance industries since the ear-ly 1990’s, of mathematical methodology, especial-ly probabilistic methodology, it was a very naturalidea for the French "Académie des Sciences" to pro-pose a series of public lectures, accessible to an edu-cated audience, to promote a wider understandingfor some of the fundamental ideas, techniques andnew tools of the financial industries. These lectureswere given at the "Académie des Sciences" in Parisby internationally renowned experts in mathe-matical finance, and later written up for this volumewhich develops, in simple yet rigorous terms, somechallenging topics such as risk measures, the notionof arbitrage, dynamic models involving fundamen-tal stochastic processes like Brownian motion andLévy processes. The Ariadne’s thread leads the read-er from Louis Bachelier’s thesis 1900 to the famousBlack-Scholes formula of 1973 and to most recentwork close to Malliavin’s stochastic calculus of [..]

Fields of interest

Quantitative Finance

Type of publication


Due April 2008


29,95 €

ISBN 978-3-540-75258-5


J. Zabczyk, Polish Academy of Sciences, Warsaw, Poland

Mathematical Control Theory

An Introduction

Mathematical Control Theory: An Introductionpresents, in a mathematically precise manner, a uni-fied introduction to deterministic control theory.With the exception of a few more advanced conceptsrequired for the final part of the book, this presen-tation requires only a knowledge of basic facts fromlinear algebra, differential equations, and calculus. Inaddition to classical concepts and ideas, the authorcovers the stabilization of nonlinear systems usingtopological methods, realization theory for nonlinearsystems, impulsive control and positive systems, thecontrol of rigid bodies, the stabilization of infinitedimensional systems, and the solution of minimumenergy problems. The book will be ideal for a begin-ning graduate course in mathematical control theory,or for self study by professionals needing a completepicture of the mathematical theory that underlies theapplications of control theory.

Features

Covers a remarkable number of topics in a concisemanner Includes material on the realization of bothlinear and nonlinear systems, impulsive control, andpositive linear systems—subjects not usually coveredin an 'introductory' book Excellent book for intro-ducing a mathematician to control theory Can beused in a novel one-semester course covering bothlinear and nonlinear systems

Contents

Preface.- Introduction.- Elements of classical con-trol theory.- Nonlinear control systems.- Optimalcontrol.- Infinite dimensional linear systems.- Ap-pendix.- References.- Notations.- Index.

Fields of interest

Systems Theory, Control; Applications of Mathemat-ics; Calculus of Variations and Optimal Control; Op-timization; Control Engineering

Target groups

graduate students in systems and control, mathe-maticians needing a good introduction to controltheory

Type of publication


Due November 2007

Originally published as a hardcover edition in the series: Systems

& Control: Foundations & Applications

2008. XII, 260 p. (Modern Birkhäuser Classics) Softcover

34,90 €

ISBN 978-0-8176-4732-2

A. Zhigljavsky, Cardiff University, Cardiff, UK; A. Zilinskas, Institute

of Mathematics and Informatics, Vilnius, Lithuania

Stochastic Global Optimization

This book presents the main methodological andtheoretical developments in stochastic global op-timization. The extensive text is divided into fourchapters; the topics include the basic principles andmethods of global random search, statistical infer-ence in random search, Markovian and popula-tion-based random search methods, methods basedon statistical models of multimodal functions andprinciples of rational decisions theory. Key features:Inspires readers to explore various stochastic meth-ods of global optimization by clearly explaining themain methodological principles and features of themethods; Includes a comprehensive study of proba-bilistic and statistical models underlying the stochas-tic optimization algorithms; Expands upon moresophisticated techniques including random and se-mi-random coverings, stratified sampling schemes,Markovian algorithms and population based algo-rithms; Provides a thorough description of the meth-ods based on statistical models of objective function;Discusses [..]

Features

Provides reader with a methodological and theoret-ical basis for developing and investigating optimiza-tion heuristics Summarizes basic ideas and presentsrecent progress and new results Includes an exten-sive bibliography with old Russian articles as well asnew English papers Includes an extensive discussionon probabilistic and statistical models used in theglobal random search Expands upon more sophisti-cated [..]

Contents

Preface.- Introduction.- Basic Concepts and Ideas.-Global Random Search: Fundamentals and StatisticalInference.- Global Random Search: Extensions.- Sta-tistical Models.- References.- Index.

Fields of interest

Optimization; Calculus of Variations and OptimalControl; Optimization; Applications of Mathematics

Target groups

Researchers interested in global optimization

Type of publication

Monograph

Due December 2007

2008. X, 272 p. (Springer Optimization and Its Applications, Vol.

9) Hardcover

76,95 €

ISBN 978-0-387-74022-5

C. Zopounidis, Technical University of Crete, Chania, Greece; M.

Doumpos, Technical University of Crete, Chania, Greece; P.M.

Pardalos, University of Florida, Gainesville, Florida (Eds.)

Handbook of Financial Engineering

Contents

Chapter 1. Portfolio Selection and Management (H.Konno) – Chapter 2. Advances in Value at Risk Mea-surement and Optimization (S. Uryasev) – Chap-ter 3. Interest Rate Modeling (S. Satchell) – Chapter4. Bond Management (G. Dash) – Chapter 5. Opti-mization Techniques in Financial Planning and As-set-Liability Management (W.T. Ziemba, J.M. Mul-vey) – Chapter 6. Stochastic Programming Modelingfor Financial Engineering (S. Zenios, H. Vladimirou)– Chapter 7. Multi-objective Programming Tech-niques in Financial Engineering (R.E. Steuer) –Chapter 8. Computational intelligence techniques in[..]

Fields of interest


Type of publication

Contributed volume

Due July 2008

2008. Approx. 600 p. (Applied Optimization, Preliminary entry

2000) Hardcover

103,95 €

ISBN 978-0-387-76681-2


P. beim Graben, University of Potsdam, Germany; C. Zhou, Uni-

versity of Potsdam, Germany; M. Thiel, University of Potsdam,

Germany; J. Kurths, University of Potsdam, Germany (Eds.)

Lectures in Supercomputational

Neurosciences

Dynamics in Complex Brain Networks

Computational Neurosciences is a burgeoning fieldof research where only the combined effort of neuro-scientists, biologists, psychologists, physicists, math-ematicians, computer scientists, engineers and otherspecialists, e.g. from linguistics and medicine, seemto be able to expand the limits of our knowledge. Thepresent volume is an introduction, largely from thephysicists' perspective, to the subject matter within-depth contributions by system neuroscientists.A conceptual model for complex networks of neu-rons is introduced that incorporates many impor-tant features of the real brain, such as various typesof neurons, various brain areas, inhibitory and exci-tatory coupling and the plasticity of the network. Thecomputational implementation on supercomputers,which is introduced and discussed in detail in thisbook, will enable the readers to modify and adapt thealgortihm for their own research. Worked-out ex-amples of applications are presented for networks ofMorris-Lecar neurons to model [..]

Contents

Neurophysiology.- Complex Networks.- Cognitionand Higher Perception.- Implementations.- Applica-tions.- Index.

Fields of interest

Biophysics; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Artificial Intelligence (incl.Robotics); Neurosciences; Numerical and Computa-tional Methods

Target groups


Type of publication

Monograph

Due November 2007

2008. X, 375 pages with 179 illus. (Understanding Complex Sys-

tems) Hardcover

79,95 €

ISBN 978-3-540-73158-0

M. di Bernardo, University of Bristol, UK; University of Naples Fed-

erico II, Italy; C.J. Budd, University of Bath, UK; A.R. Champneys,

University of Bristol, UK; P. Kowalczyk, University of Bristol, UK;

University of Exeter, UK

Piecewise-smooth Dynamical

Systems


The primary purpose of this book is to introduce acoherent framework for understanding the dynamicsof piecewise-smooth and hybrid systems. An infor-mal introduction asserts the ubiquity of such mod-els with examples drawn from mechanics, electron-ics, control theory and physiology. The main thrustis to classify complex behavior via bifurcation theo-ry in a systematic yet applicable way. The key con-cept is that of a discontinuity-induced bifurcation,which generalizes diverse phenomena such as graz-ing, border-collision, sliding, chattering and the pe-riod-adding route to chaos. The results are present-ed in an informal style and illustrated with copiousexamples, both theoretical and experimental. Aimedat a wide audience of applied mathematicians, engi-neers and scientists at the early postgraduate level,the book assumes only the standard background ofbasic calculus and linear algebra for most of the pre-sentation and will be an indispensable resource forstudents and researchers.

Features

A comprehensive 'tool-kit' that provides a completereference to bifurcation theory for piecewise-smoothdynamical systems The informal introduction servesas a primer for the non-specialist and introducesall the main ideas with real-world examples The in-clusion of a comprehensive bibliography and manyopen questions will serve as a stimulus for future re-search

Contents

Introduction.- Qualitative theory of nonsmooth dy-namical systems.- Border collision in piecewise-lin-ear continuous maps.- Bifurcations in general piece-wise-smooth maps.-Boundary equilibrium bifur-cations in flows.- Limit cycle bifurcations in im-pacting systems.- Limit cycle bifurcations in piece-wise-smooth flows.- Sliding bifurcations in Filippovsystems.- Further applications and extensions.- Ref-erences.- Index.

Fields of interest

Dynamical Systems and Ergodic Theory; Applica-tions of Mathematics; Control Engineering; Vibra-tion, Dynamical Systems, Control; Electronic andComputer Engineering

Target groups

Postgraduate students and researchers in mathemat-ics, engineering and the applied sciences

Type of publication

Monograph

Due December 2007

2007. Approx. 504 p. 234 illus. (Applied Mathematical Sciences,

Vol. 163) Hardcover

76,95 €

ISBN 978-1-84628-039-9

M. du Sautoy, University of Oxford, Oxford, UK; L. Woodward,

University of Oxford, Oxford, UK

Zeta Functions of Groups and Rings

Zeta functions have been a powerful tool in mathe-matics over the last two centuries. This book consid-ers a new class of non-commutative zeta functionswhich encode the structure of the subgroup latticein infinite groups. The book explores the analytic be-haviour of these functions together with an investi-gation of functional equations. Many important ex-amples of zeta functions are calculated and recordedproviding an important data base of explicit exam-ples and methods for calculation.

Contents

Introduction.- Nilpotent Groups: Explicit Examples.-Soluble Lie Rings.- Local Functional Equations.-Natural Boundaries I: Theory.- Natural boundariesII: Algebraic groups.- Natural boundaries III: Nilpo-tent groups.- Large polynomials.- Factorisation ofpolynomials associated to classical groups.- Refer-ences.- Index.

Fields of interest

Group Theory and Generalizations; Number Theory;Non-associative Rings and Algebras

Target groups

Researchers and graduate students analytic numbertheory and group theory

Type of publication

Monograph

Due November 2007

2008. XII, 208 p. (Lecture Notes in Mathematics, Vol. 1925) Soft-

cover

39,95 €

ISBN 978-3-540-74701-7


P. Érdi, Kalamazoo College, Center for Complex Systems Studies,

Kalamazoo, MI, USA

Complexity Explained

This book explains why complex systems researchis important in understanding the structure, func-tion and dynamics of complex natural and socialphenomena. It illuminates how complex collectivebehavior emerges from the parts of a system, due tothe interaction between the system and its environ-ment. You will learn the basic concepts and meth-ods of complex system research. It is shown that verydifferent complex phenomena of nature and soci-ety can be analyzed and understood by nonlinear dy-namics since many systems of very different fields,such as physics, chemistry, biology, economics, psy-chology and sociology etc. have similar architec-ture. “Complexity Explained” is not highly technicaland mathematical, but teaches and uses thebasic mathematical notions of dynamical system the-ory making the book useful for students of sciencemajors and graduate courses, but it should be read-able for a more general audience; actually for those,who ask: What complex systems really are?

Features

One of the flagships of the “Springer Complex-ity” program Everything understandable aboutcomplexity and nonlinear systems Author is coau-thor to Michael Arbib of the well known book“Neural Organization - Structure Function, andDynamics” (MIT Press 1997)

Contents

COMPLEX SYSTEMS: THE INTELLECTUALLANDSCAPE.- HISTORY of COMPLEX SYSTEMSRESEARCH.- FROM THE CLOCKWORK WORLDVIEW to IRREVERSIBILITY (and BACK?).- THEDYNAMIC WORLD VIEW in ACTION.- THESEARCH FOR LAWS: DEDUCTIVE VERSUS IN-DUCTIVE.- STATISTICAL LAWS: FROM SYM-METRIC TO ASYMMETRIC.- SIMPLE ANDCOMPLEX STRUCTURES: BETWEEN ORDERAND RANDOMNESS.- COMPLEXITY OF THEBRAIN: STRUCTURE, FUNCTION AND DYNAM-ICS.- FROM MODELS to DECISION MAKING.-HOW MANY CULTURES WE HAVE?

Fields of interest

Appl.Mathematics/Computational Methods of En-gineering; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Dynamical Systems andErgodic Theory; Vibration, Dynamical Systems,Control

Target groups

Graduate and undergraduate students in complexity;everybody asking what is complexity

Type of publication

Monograph

Due November 2007


49,95 €

ISBN 978-3-540-35777-3

D. Ó'Mathúna, Dublin Institute for Advanced Studies, Dublin, Ire-

land

Integrable Systems in Celestial

Mechanics

This work focuses on the two integrable systems ofrelevance to celestial mechanics, both of which dateback to the 18th century. Under discussion are theKepler (two-body) problem and the Euler (two-fixedcenter) problem, the latter being the more complexand more instructive, as it exhibits a richer and morevaried solution structure. Further, because of the in-teresting investigations by the 20th century mathe-matical physicist J.P. Vinti, the Euler problem is nowrecognized as being intimately linked to the Vinti(earth-satellite) problem; in short, the Euler problemand the earth-satellite problem are in a dual comple-mentary relation. The present work shows that thesolutions to all of these integrable problems can beput in a form that admits the general representationof the orbits and follows a definite shared pattern. Akey feature of this treatment involves a full analysisof the planar Euler problem (yielding an exact solu-tion form in terms of Jacobian elliptic functions) viaa clear [..]

Features

Shows that exact solutions to the Kepler (two-body),the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that ad-mits the general representation of the orbits and fol-lows a definite shared pattern Includes a full analysisof the planar Euler problem via a clear generalizationof the form of the solution in the Kepler case Origi-nal insights that have hithertofore not [..]

Contents

General Introduction.- The Kepler Problem (Two-Body Problem): the central Newtonian potential.-Bernoulli solution.- Features of the central Newto-nian potential.- The Non-Central Newtonian Poten-tial.- The Euler problem: two fiexd centers of attrac-tion.- The Vinti problem: earth-satellite theory.- Im-plications for perturbation theories.- Relativistic con-text.- Index.

Fields of interest

Dynamical Systems and Ergodic Theory; Mechanics;Statistical Physics; Mathematical Methods in Physics;Astronomy, Astrophysics and Cosmology; Applica-tions of Mathematics

Target groups

Graduate students, researchers, mathematical physi-cists, mathematical analysts, statistical mechanists,astronomers, cosmologists, astrophysicists, astro-nauts, aerospace engineers

Type of publication

Monograph

Due June 2008

2008. Approx. 240 p. (Progress in Mathematical Physics, Vol. 51)

Hardcover

69,95 €

ISBN 978-0-8176-4096-5

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