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Lie Algebras of Finite andAffine TypeRoger CarterUniversity of Warwick

Lie algebras have many varied applications,both in mathematics and mathematicalphysics. This book provides a thoroughbut relaxed mathematical treatment of thesubject, including both the Cartan-Killing-Weyl theory of finite dimensional simplealgebras and the more modern theory ofKac-Moody algebras.

Contents:1. Basic concepts; 2. Representations of sol-uble and nilpotent Lie algebras; 3. Cartansubalgebras; 4. The Cartan decomposition;5. The root systems and the Weyl group; 6.The Cartan matrix and the Dynkin diagram;7. The existence and uniqueness theorems;8. The simple Lie algebras; 9. Some universalconstructions; 10. Irreducible modules forsemisimple Lie algebras; 11. Further proper-ties of the universal enveloping algebra; 12.Character and dimension formulae; 13.Fundamental modules for simple Lie alge-bras; 14. Generalized Cartan matrices andKac-Moody algebras; 15. The classificationof generalised Cartan matrices; 16 Theinvariant form, root system and Weyl group;17. Kac-Moody algebras of affine type; 18.Realisations of affine Kac-Moody algebras;19. Some representations of symmetrisableKac-Moody algebras; 20. Representations ofaffine Kac-Moody algebras; 21. BorcherdsLie algebras; Appendix.

Cambridge Studies inAdvanced Mathematics

2005/540 pp./10 line diagrams85138-6/Hb/List: $80.00

Disc.: $64.00

Free Ideal Rings andLocalization in General RingsPaul CohnUniversity College London

Contents:Preface; Note to the reader; Terminology,notations and conventions used; List of spe-cial notation; 0. Preliminaries on modules; 1.Principal ideal domains; 2. Firs, semifirs andthe weak algorithm; 3. Factorization; 4. 2-firs with a distributive factor lattice; 5.Modules over firs and semifirs; 6.Centralizers and subalgebras; 7. Skew fieldsof fractions; Appendix; Bibliography andauthor index; Subject index.

New Mathematical Monographs2006/704 pp./38 line diagrams/864 exercises/

19 figures85337-0/Hb/List: $140.00

Disc.: $112.00

Integral Closure of Ideals,Rings, and ModulesCraig HunekeUniversity of KansasIrena SwansonReed College, Portland

This book provides experts and graduatestudents in algebra and algebraic geometrywith a central source on Integral Closurethat leads into the current literature.

Contents:1. What is the integral closure; 2. Integralclosure of rings; 3. Separability; 4.Noetherian rings; 5. Rees algebras; 6.Valuations; 7. Derivations; 8. Reductions; 9.Analytically unramified rings; 10. Rees valu-ations; 11. Multiplicity and integral closure;12. The conductor; 13. Powers of ideals; 14.Two dimensional regular local rings; 15.Computing the integral closure; 16. Integraldependence of modules; 17. Joint reduc-tions; 18. Adjoints of ideals; 19. Normalhomomorphisms; Appendices.

London Mathematical SocietyLecture Note Series

2006/440 pp.68860-4/Pb/List: $60.00*

Disc.: $48.00

Noncommutative Localizationin Algebra and TopologyEditorAndrew RanickiUniversity of Edinburgh

This introduction is suitable for graduatestudents and more advanced researchers inboth algebra and topology.

Contents and Contributors:Dedication; Preface; Historical perspective;Conference participants; Conference photo;Conference timetable; 1. On flatness and theOre condition J. A. Beachy; 2. Localizationin general rings, a historical survey P. M.Cohn; 3. Noncommutative localization inhomotopy theory W. G. Dwyer; 4.Noncommutative localization in group ringsP. A. Linnell; 5. A non-commutative general-isation of Thomason’s localisation theoremA. Neeman; 6. Noncommutative localiza-tion in topology A. A. Ranicki; 7. L2-Bettinumbers, isomorphism conjectures and non-commutative localization H. Reich; 8.Invariants of boundary link cobordism II.The Blanchfield-Duval form D. Sheiham; 9.Noncommutative localization in noncom-mutative geometry Z. Skoda.


2006/328 pp.68160-X/Pb/List: $60.00

Disc.: $48.00


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Elements of theRepresentation Theory ofAssociative AlgebrasVolume I: Techniques ofRepresentation TheoryI. AssemUniversité de Sherbrooke, CanadaA. SkowronskiD. SimsonUniwersytet Mikolaja Kopernika, Poland

This first part of a two-volume set offers amodern account of the representation theo-ry of finite dimensional associative algebrasover an algebraically closed field. The vol-ume will be of great interest to graduatestudents beginning research in the repre-sentation theory of algebras and to mathe-maticians from other fields.

Contents:0. Introduction; 1. Algebras and modules; 2.Quivers and algebras; 3. Representations andmodules; 4. Auslander-Reiten theory; 5.Nakayama algebras and representation-finitegroup algebras; 6. Tilting theory; 7.Representation-finite hereditary algebras; 8.Tilted algebras; 9. Directing modules andpostprojective components; A. Appendix.Categories functors and homology.

London Mathematical SocietyStudent Texts

2006/472 pp.58423-X/Hb/List: $90.00

Disc.: $72.0058631-3/Pb/List: $45.00

Disc.: $36.00

Central Simple Algebras andGalois CohomologyPhilippe GilleCentre National de la Recherche Scientifique(CNRS), ParisTamás SzamuelyAlfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences, Budapest

Contents:1. Quaternion algebras; 2. Central simplealgebras and Galois descent; 3. Techniquesfrom group cohomology; 4. The cohomolog-ical Brauer group; 5. Severi-Brauer varieties;6. Residue maps; 7. Milnor K-theory; 8. TheMerkurjev-Suslin theorem; 9. Symbols inpositive characteristic; Appendix: A breviaryof algebraic geometry; References; Index.


2006/356 pp./80 exercises86103-9/Hb/List: $75.00*

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Singularities andComputer AlgebraEditorsChristoph LossenGerhard PfisterUniversität Kaiserslautern

This volume surveys important topics insingularity theory, with a particular focuson computational aspects of the subject.Researchers in singularity theory, computeralgebra, or related subjects will find thatthis book contains a wealth of valuableinformation.

Contributors:C. Lossen, G. Pfister, H. Abo, F.-O.Schreyer, E. Artal Bartolo, I. Luengo, A.Melle Hernandez, R.-O. Buchweitz, D.Mond, Y. A. Drozd, W. Ebeling, A. Fruhbis-Kruger, E. Garci a Barroso, B. Teissier, H. A.Hamm, L. D. Tráng, H. Schonemann, E.Shustin, J. H. M. Steenbrink, J. Stevens, D.van Straten, J. Wahl


2006/408 pp.68309-2/Pb/List: $75.00

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Fundamentals ofHyperbolic ManifoldsSelected ExpositionsEditorsR. D. CanaryUniversity of Michigan, Ann ArborA. MardenUniversity of MinnesotaD. B. A. EpsteinUniversity of Warwick

The book will be welcomed by graduatestudents and professional mathematicianswho want a rigorous introduction to somebasic tools essential for the modern theoryof hyperbolic manifolds.

Contents and Contributors:Preface 2005; Preface; Part I. Notes on Notesof Thurston R. D. Canary, D. B. A. Epsteinand P. Green; Part II. Convex Hulls inHyperbolic Space, a Theorem of Sullivan, andMeasured Pleated Surfaces D. B. A. Epsteinand A. Marden; Part III. Earthquakes in Two-Dimensional Hyperbolic Geometry WilliamP. Thurston; Part IV. Lectures on Measures onLimit Sets of Kleinian Groups S. J. Patterson.


2006/348 pp.61558-5/Pb/List: $70.00*

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Riemannian GeometryA Modern IntroductionSecond EditionIsaac ChavelCity College, City University of New York

This book provides an introduction toRiemannian geometry, the geometry ofcurved spaces, for use in a graduate course.Requiring only an understanding of differ-entiable manifolds, the author covers theintroductory ideas of Riemannian geometryfollowed by a selection of more specializedtopics.

Contents:1. Riemannian manifolds; 2. Riemanniancurvature; 3. Riemannian volume; 4.Riemannian coverings; 5. Surfaces; 6.Isoperimetric inequalities (constant curva-ture); 7. The kinetic density; 8. Isoperimetricinequalities (variable curvature); 9.Comparison and finiteness theorems.

Cambridge Studiesin Advanced Mathematics

2006/472 pp./161 exercises85368-0/Hb/List: $95.00

Disc.: $76.0061954-8/Pb/List: $45.00

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Global Analysis onFoliated SpacesSecond EditionCalvin C. MooreUniversity of California, BerkeleyClaude L. SchochetWayne State University, Detroit

This book presents a complete proof ofnoncommutative topology, generalized tofoliated spaces, and includes the necessarybackground from analysis, geometry, andtopology.

Contents:Introduction; 1. Locally traceable operators;2. Foliated spaces; 3. Tangential cohomolo-gy; 4. Transverse measures; 5. Characteristicclasses; 6. Operator algebra; 7.Pseudodifferential operators; 8. The indextheorem; Appendices.

Mathematical Sciences ResearchInstitute Publications

2006/308 pp.61305-1/Pb/List: $39.99

Disc.: $31.99

Spaces of Kleinian GroupsEditorsYair MinskyYale University, ConnecticutMakoto SakumaUniversity of Osaka, JapanCaroline SeriesUniversity of Warwick

This volume contains important exposi-tions and original work by some of themain contributors on topics such as topolo-gy and geometry of 3-manifolds, curvecomplexes, classical Ahlfors-Bers theory,computer explorations and projectivestructures. Researchers in these and relatedareas will find much of interest here.

Contributors:Y. Minsky, M. Sakuma, C. Series, K.Bromberg, K. Oshika, H. Miyachi, C. Lecuire,B. Martelli, H. Akiyoshi, U. Hamenstädt, J.Aramayona, S. A. Wolpert, A. Marden, Y.Komori, J. Gilman, D. J. Wright, S. Kojima,S. Mizushima, S. P. Tan, K. Ito, Y. Yamashita


2006/394 pp.61797-9/Pb/List: $70.00

Disc.: $56.00

Geometric TomographySecond EditionRichard J. GardnerWestern Washington University

Praise for the first edition:

“This is an extremely useful monograph, collectingtogether all the currently available material ongeometric tomography…The book is well organ-ized and easy to read, with many illustrations,and copious notes to each chapter…I recommendthe book highly as a valuable introduction andcontinuing reference.”

Bulletin of the London Mathematical Society

Contents:Background material; 1. Parallel X-rays of pla-nar convex bodies; 2. Parallel X-rays in ndimensions; 3. Projections and projectionfunctions; 4. Projection bodies and volumeinequalities; 5. Point X-rays; 6. Chord func-tions and equichordal problems; 7. Sections,section functions, and point X-rays; 8.Intersection bodies and volume inequalities; 9.Estimates from projection and section func-tions; A. Mixed volumes and dual mixed vol-umes; B. Inequalities; C. Integral transforms

Encyclopedia of Mathematicsand its Applications

2006/496 pp.86680-4/Hb/List: $140.00

Disc.: $112.0068493-5/Pb/List: $70.00

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Forthcoming books may be ordered now for shipment when available.

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Synthetic DifferentialGeometrySecond EditionAnders KockAarhus Universitet, Denmark

This is a second edition of Kock’s classicaltext from 1981. Many notes have beenincluded, with comments on developmentsin the field from the intermediate years,and almost 100 new bibliographic entrieshave been added. For the first half of thebook familiarity with differential calculusand abstract algebra is presupposed duringthe development of results in calculus anddifferential geometry on a purely axiomat-ic/synthetic basis. In the second half basicnotions of category theory are presumed inthe construction of suitable Cartesianclosed categories and the interpretation oflogical formulae within them.

London Mathematical Society LectureNote Series

2006/c. 240 pp.68738-1/Pb/List: $55.00*

Disc.: $44.00*

A First Course inMathematical AnalysisDavid BrannanThe Open University, Milton Keynes

Mathematical Analysis (often calledAdvanced Calculus) is generally found bystudents to be one of their hardest coursesin Mathematics. This text uses the so-calledsequential approach to continuity, differen-tiability and integration to make it easier tounderstand the subject. Topics that are gen-erally glossed over in the standard Calculuscourses are given careful study here.

Contents:Preface; 0. Introduction: Calculus andAnalysis; 1. Numbers; 2. Sequences; 3.Series; 4. Continuity; 5. Limits and continu-ity; 6. Differentiation; 7. Integration; 8.Power series; Appendix 1. Sets, functions andproofs; Appendix 2. Standard derivatives andprimitives; Appendix 3. The first 1,000 dec-imal places of the square root of 2, e and pi;Appendix 4. Solutions to the problems;Index.

2006/c. 400 pp./211 line diagrams/1 table/207 exercises/109 worked examples

86439-9/Hb/List: $90.00*Disc.: $72.00

68424-2/Pb/List: $50.00*Disc.: $40.00

Multiplicative Number Theory IClassical TheoryHugh L. MontgomeryUniversity of Michigan, Ann ArborR.C VaughanPennsylvania State University

Assuming only subjects covered in a stan-dard degree in mathematics, the authorscomprehensively cover all the topics met infirst courses on multiplicative number the-ory and the distribution of prime numbers.They bring their extensive and distin-guished research expertise to bear inpreparing the student for intelligent read-ing of the more advanced research litera-ture.

Contents:Preface; Notation; 1. Dirichlet series-I; 2.The elementary theory of arithmetic func-tions; 3. Principles and first examples of sievemethods; 4. Primes in arithmetic progres-sions-I; 5. Dirichlet series-II; 6. The primenumber theorem; 7. Applications of theprime number theorem; 8. Further discus-sion of the prime number theorem; 9.Primitive characters and Gauss sums; 10.Analytic properties of the zeta function andL-functions; 11. Primes in arithmetic pro-gressions-II; 12. Explicit formulae; 13.Conditional estimates; 14. Zeros; 15.Oscillations of error terms; Appendices.


2006/c. 650 pp./510 exercises/7 figures84903-9/Hb/List: $80.00*

Disc.: $64.00*

Random Fragmentation andCoagulation ProcessesJean BertoinUniversité de Paris VI (Pierre et Marie Curie)

Written for readers with a solid backgroundin probability, this book’s careful expositionallows graduate students, as well as workingmathematicians, to approach the materialwith confidence.

Contents:Introduction; 1. Self-similar fragmentationchains; 2. Random partitions; 3. Exchangeablefragmentations; 4. Exchangeable coalescents;5. Asymptotic regimes in stochastic coales-cence; References; List of symbols; Index.


2006/c. 250 pp.86728-2/Hb/List: $65.00*

Disc.: $52.00*



Complex Analysis withMATHEMATICA®William ShawUniversity of Oxford

“William Shaw’s Complex Analysis withMathematica is a remarkable achievement. Itmasterfully combines excellent expositions of thebeauties and subtlety of complex analysis, and sev-eral of its applications to physical theory, with clearexplanations of the flexibility and the power ofMathematica for computing and for generatingmarvellous graphical displays.”

Roger Penrose, University of Oxford

Contents:Preface; 1. Why you need complex numbers;2. Complex algebra and geometry; 3.Cubics, quartics and visualization of com-plex roots; 4. Newton-Raphson iteration andcomplex fractals; 5. A complex view of thereal logistic map; 6. The Mandelbrot set; 7.Symmetric chaos in the complex plane; 8.Complex functions; 9. Sequences, series andpower series; 10. Complex differentiation;11. Paths and complex integration; 12.Cauchy’s theorem; 13. Cauchy’s integral for-mula and its remarkable consequences; 14.Laurent series, zeroes, singularities andresidues; 15. Residue calculus: integration,summation and the augment principle; 16.Conformal mapping I: simple mappings andMobius transforms; 17. Fourier transforms;18. Laplace transforms; 19. Elementaryapplications to two-dimensional physics; 20.Numerical transform techniques; 21.Conformal mapping II: the Schwarz-Christoffel transformation; 22. Tiling theEuclidean and hyperbolic planes; 23. Physicsin three and four dimensions I; 24. Physicsin three and four dimensions II; Index.

2006/592 pp./57 line diagrams/375 exercises/57 figures/79 color figures

83626-3/Hb/List: $75.00Disc.: $60.00

Now in Paperback!

Polycyclic GroupsDaniel Segal

Contents:Preface; Notation; 1. The elements, 2.Mal’cev’s theorems; 3. Extensions; 4.Arithmetical methods; 5. Faithful represen-tations; 6. On unipotent groups; 7. Semi-simple splitting; 8. Soluble Z-linear groups;9. A finiteness theorem; 10. Polycyclicgroups with isomorphic finite quotients; 11.Examples; Appendix; References; Index.

Cambridge Tracts in Mathematics2005/285 pp.

02394-7/Pb/List: $43.00Disc.: $34.40

The Lévy LaplacianM. N. Feller

The Lévy Laplacian is an infinite-dimen-sional generalization of the well-knownclassical Laplacian. The theory has becomewell-developed in recent years and thisbook is the first systematic treatment ofthe Lévy-Laplace operator. This book willbe valued by those working in functionalanalysis, partial differential equations andprobability theory.

Contents:Introduction; 1. The Lévy Laplacian; 2.Lévy-Laplace operators; 3. Symmetric Lévy-Laplace operators; 4. Harmonic functions ofinfinitely many variables; 5. Linear ellipticand parabolic equations with LévyLaplacians; 6. Quasilinear and nonlinearelliptic equation with Lévy Laplacians; 7.Nonlinear parabolic equations with LévyLaplacians; 8. Appendix. Lévy-Dirichletforms and associated Markov processes;Bibliography; Index.

Cambridge Tracts in Mathematics2005/160 pp.

84622-6/Hb/List: $70.00Disc.: $56.00

Elliptic FunctionsV. Armitage

Contents:1. The ‘simple’ pendulum; 2. Jacobian ellip-tic functions of a complex variable; 3.General properties of elliptic functions; 4.Theta functions; 5. The Jacobian ellipticfunctions for complex k; 6. Introduction totransformation theory; 7. The Weierstrasselliptic functions; 8. Elliptic integrals; 9.Applications of elliptic functions in geome-try; 10. An application of elliptic functionsin algebra solution of the general quinticequation; 11. An arithmetic application ofelliptic functions; 12. Applications inmechanics and statistics and other topics;Appendix; Bibliography.

London Mathematical SocietyStudent Texts

2006/c. 420 pp./25 line diagrams/5 tables/25 figures

78078-0/Hb/List: $90.00*Disc.: $72.00

78563-4/Pb/List: $42.99*Disc.: $34.39

The Cube-A Windowto Convex andDiscrete GeometryChuanming ZongPeking University, Beijing

Eight topics about the unit cubes are intro-duced within this textbook: cross sections,projections, inscribed simplices, triangula-tions, 0/1 polytopes, Minkowski’s conjec-ture, Furtwangler’s conjecture, and Keller’sconjecture. In particular Chuanming Zongdemonstrates how deep analysis like logconcave measure and the Brascamp-Liebinequality can deal with the cross sectionproblem, how Hyperbolic Geometry helpswith the triangulation problem, how grouprings can deal with Minkowski’s conjectureand Furtwangler’s conjecture, and howGraph Theory handles Keller’s conjecture.

Cambridge Tracts in Mathematics2006/184 pp./6 line diagrams/6 figures

85535-7/Hb/List: $70.00Disc.: $56.00

Hilbert’s Tenth ProblemDiophantine Classes andExtensions to Global FieldsAlexandra ShlapentokhEast Carolina University

This book presents an account of resultsextending Hilbert’s Tenth Problem to inte-grally closed subrings of global fieldsincluding, in the function field case, thefields themselves. While written from thepoint of view of Algebraic Number Theory,the book includes chapters on Mazur’s con-jectures on topology of rational points andPoonen’s elliptic curve method for con-structing a Diophantine model of rationalintegers over a “very large” subring of thefield of rational numbers.

Contents:1. Introduction; 2. Diophantine classes: def-inition and basic facts; 3. Diophantineequivalence and diophantine decidability; 4.Integrality at finitely many primes and divis-ibility of order at infinitely many primes; 5.Bound equations for number fields and theirconsequences; 6. Units of rings of W-integersof norm 1; 7. Diophantine classes over num-ber fields; 8. Diophantine undecidability offunction fields; 9. Bounds for functionfields; 10. Diophantine classes over functionfields; 11. Mazur’s conjectures and their con-sequences; 12. Results of Poonen; 13.Beyond global fields; A. Recursion theory; B.Number theory; Bibliography; Index.

New Mathematical Monographs2006/c. 370 pp./18 line diagrams

83360-4/Hb/List: $99.00Disc.: $79.20

Markov Processes, GaussianProcesses, and Local TimesMichael B. MarcusJay RosenCity University of New York

Written by two foremost researchers in thefield, this book studies the local times ofMarkov processes by employing isomor-phism theorems that relate them to certainassociated Gaussian processes. This origi-nal, readable book will appeal to bothresearchers and advanced graduate stu-dents.

Contents:1. Introduction; 2. Brownian motion andRay-Knight theorems; 3. Markov processesand local times; 4. Constructing Markovprocesses; 5. Basic properties of Gaussianprocesses; 6. Continuity and boundedness;7. Moduli of continuity; 8. Isomorphismtheorems; 9. Sample path properties of localtimes; 10. p-Variation; 11. Most visited site;12. Local times of diffusions; 13. AssociatedGaussian processes; Appendices: A.Kolmogorov’s theorem for path continuity;B. Bessel processes; C. Analytic sets and theprojection theorem; D. Hille-Yosida theo-rem; E. Stone-Weierstrass theorems; F.Independent random variables; G. Regularlyvarying functions; H. Some useful inequali-ties; I. Some linear algebra; References;Index.


2006/c. 640 pp.86300-7/Hb/List: $90.00*

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Foundations ofComputational Mathematics,Santander 2005EditorsLuis PardoUniversity of SantanderAllan PinkusTechnion - Israel Institute of Technology, HaifaEndre SuliUniversity of OxfordMike ToddCornell University, New York

Contents and Contributors:1. Fokker-Planck equations, diluted poly-mers and sparse finite element methodsEndre Suli; 2. Low-volume hyperbolic 3-manifolds Robert Meyerhoff; 3. Algorithmsin topical algebraic geometry BerndSturmfels; 4. Estimates on the probabilitydistribution of condition numbers of specialdata Luis Pardo; 5. Long-time energy conser-vation of numerical integrators Ernst Hairer;6. Greedy approximations VladimirTemlyakov; 7. Noether’s theorem forsmooth, finite difference and finite elementmodels E. L. Mansfield; 8. Numerical inte-gration in hundreds of dimensions: the lat-tice side of the story Ian Sloan; 9.Computational homology in dynamical sys-tems Konstantin Mischaikow; 10.Numerical methods for high(er)-dimension-al problems Michael Griebel; 11.Nonsmooth optimization and eigenvaluesAdrian Lewis; 12. The cost of accuratenumerical linear algebra Jim Demmel.


2006/c. 300 pp.68161-8/Pb/List: $75.00*

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Combinatorics ofSymmetric DesignsYury IoninMohan ShrikhandeCentral Michigan University

This book provides a unified expositionof the theory of symmetric designs withemphasis on recent developments.The authors cover the combinatorialaspects of the theory giving particularattention to the construction of symmetricdesigns and related objects. Researchers inall areas of combinatorial designs, includingcoding theory and finite geometries, willfind much of interest here. Detailed proofsand a large number of exercises make thisbook suitable as a text for an advancedcourse in combinatorial designs.

Contents:1. Combinatorics of finite sets; 2.Introduction to designs; 3. Vector spacesover finite fields; 4. Hadamard matrices; 5.Resolvable designs; 6. Symmetric designsand t-designs; 7. Symmetric designs and reg-ular graphs; 8. Block intersection structure ofdesigns; 9. Difference sets; 10. Balanced gen-eralized weighing matrices; 11.Decomposable symmetric designs; 12.Subdesigns of symmetric designs; 13. Non-embeddable quasi-residual designs; 14. Ryserdesigns; Appendix; Bibliography; Index.

New Mathematical Monographs2006/536 pp./200 exercises/

170 worked examples81833-8/Hb/List: $130.00

Disc.: $104.00

Automorphic Formsand L-Functions for theGroup GL(n,R)Dorian GoldfeldColumbia University, New York

This book provides an entirely self-con-tained introduction to the theory of L-functions in a style accessible to graduatestudents with a basic knowledge of classicalanalysis, complex variable theory, and alge-bra. Also within the volume are many newresults not yet found in the literature.

Contents:Introduction; 1. Discrete group actions; 2.Invariant differential operators; 3.Automorphic forms and L-functions forSL(2,Z); 4. Existence of Maass forms; 5.Maass forms and Whittaker functions forSL(n,Z); 6. Automorphic forms and L-func-tions for SL(3,Z); 7. The Gelbert-Jacquetlift; 8. Bounds for L-functions and Siegelzeros; 9. The Godement-Jacquet L-function;10. Langlands Eisenstein series; 11. Poincaréseries and Kloosterman sums; 12. Rankin-Selberg convolutions; 13. Langlands conjec-tures; Appendix. The GL(n)pack manual;References.


2006/c. 430 pp.83771-5/Hb/List: $85.00*

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Theory of Finite SimpleGroupsGerhard MichlerUniversität Duisberg, Essen

Contents:Introduction; 1. Prerequisites from grouptheory; 2. Group representations and charac-ter theory; 3. Modular representation theory;4. Group order formulas and structure theo-rem; 5. Permutation representations; 6.Concrete character tables of matrix groups;7. Methods for constructing finite simplegroups; 8. Finite simple groups with propersatellites; 9. Janko group J1; 10. Higman-Sims group HS; 11. Harada group Ha; 9.Thompson group Th; Bibliography; List ofsymbols; Index.

New Mathematical Monographs2006/c. 680 pp./200 tables86625-1/Hb/List: $150.00*

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Pattern FormationAn Introduction to MethodsRebecca HoyleUniversity of Surrey

This book provides an introduction to therange of mathematical theory and methodsused to analyze and explain the intricateand beautiful patterns that arise in nature.Bringing together several differentapproaches, from group theoretic methodsto envelope equations and theory of pat-terns in large-aspect ratio-systems, the bookalso provides insight behind the selection ofone pattern over another. It is suitable as anupper-undergraduate textbook for mathe-matics students or as a fascinating, engag-ing, and fully illustrated resource forreaders in physics and biology.

Contents:1. What are natural patterns?; 2. A bit ofbifurcation theory?; 3. A bit of group theo-ry?; 4. Bifurcations with symmetry; 5.Simple lattice patterns; 6. Superlattices, hid-den symmetries and other complications; 7.Spatial modulation and envelope equations;8. Instabilities of stripes and travelling planewaves; 9. More instabilities of patterns; 10.Spirals, defects and spiral defect chaos; 11.Large-aspect-ratio systems and the Cross-Newell equations.

2006/432 pp./100 line diagrams/30 half-tones/8 color plates/9 tables/50 exercises/12 color figures/20 worked examples

81750-1/Hb/List: $80.00Disc.: $64.00

Combinatorial Matrix ClassesRichard A. BrualdiUniversity of Wisconsin, Madison

Contents:1. Introduction; 2. Basic existence theoremsfor matrices with prescribed properties; 3.The class A(R; S) of (0,1)-matrices; 4. Moreon the class A(R; S) of (0,1)-matrices; 5. Theclass T(R) of tournament matrices; 6.Interchange graphs; 7. Classes of symmetricintegral matrices; 8. Convex polytopes ofmatrices; 9. Doubly stochastic matrices.

Encyclopedia of Mathematicsand its Applications2006/c. 560 pp./4 tables

86565-4/Hb/List: $110.00*Disc.: $88.00*

The Math Behind the MusicLeon Harkleroad

Mathematics has been used for centuries todescribe, analyze, and create music. In thisbook, Leon Harkleroad explores the math-related aspects of music from its acousticalbases to compositional techniques to musiccriticism, touching on overtones, scales,and tuning systems; the musical dice gameattributed to Mozart and Haydn; the sever-al-hundred-year-old style of bell-playingknown as ‘ringing the changes’; the twelve-tone school of composition that stronglyinfluenced music throughout the 20th cen-tury; and many other topics involving math-ematical ideas from probability theory toFourier series to group theory. He alsorelates some cautionary tales of misguidedattempts to mix music and mathematics.Both the mathematical and the musical con-cepts are described in an elementary way,making the book accessible to general read-ers as well as to mathematicians and musi-cians of all levels. The book is accompaniedby an audio CD of musical examples.

Contents:1. Mathematics and music, A duet; 2. Pitch:the ground of music; 3. Tuning up; 4. Howto vary a theme mathematically; 5. Bells andgroups; 6. Music by chance; 7. Pattern, pat-tern, pattern; 8. Sight meets sound; 9. HowNOT to mix mathematics and music

Outlooks2006/c. 200 pp.

81095-7/Hb/List: $65.00*Disc.: $52.00*

00935-9/Pb/List: $24.00*Disc.: $19.20*



Music:A Mathematical OfferingDavid J. BensonUniversity of Aberdeen

Benson provides a wealth of informationhere to enable the teacher, the student, orthe interested amateur to understand, atvarying levels of technicality, the real inter-play between music and mathematics.The story involves physics, biology, psy-choacoustics, the history of science, anddigital technology. Starting with the struc-ture of the human ear and its relationshipwith Fourier analysis, the story proceeds viathe mathematics of musical instruments tothe ideas of consonance and dissonance,and then to scales and temperaments.

Contents:Preface; Introduction; Acknowledgements;1. Waves and harmonics; 2. Fourier theory;3. A mathematician’s guide to the orchestra;4. Consonance and dissonance; 5. Scales andtemperaments: the fivefold way; 6. Morescales and temperaments; 7. Digital music;8. Synthesis; 9. Symmetry in music;Appendices.

2006/c. 400 pp./243 line diagrams/20 half-tones/ 17 color figures

85387-7/Hb/List: $90.00*Disc.: $72.00*

61999-8/Pb/List: $42.99*Disc.: $34.39*

Statistical Mechanics ofDisordered SystemsA Mathematical PerspectiveAnton BovierTechnische Universität Berlin and Weierstrab-Institut für Angewandte Analysis und Stochastik

Contents:Preface; Part I. Statistical Mechanics: 1.Introduction; 2. Principles of statisticalmechanics; 3. Lattice gases and spin systems;4. Gibbsian formalism; 5. Cluster expan-sions; Part II. Disordered Systems: LatticeModels: 6. Gibbsian formalism and metas-tates; 7. The random field Ising model; PartIII: Disordered Systems: Mean Field Models;8. Disordered mean field models; 9. The ran-dom energy model; 10. Derrida’s generalisedrandom energy models; 11. The SK modelsand the Parisi solution; 12. Hopfield models;13. The number partitioning problem;Bibliography; Index of notation; Index.

Cambridge Series in Statistical andProbabilistic Mathematics

2006/c. 380 pp./30 figures84991-8/Hb/List: $75.00*

Disc.: $60.00*

The Coordinate-FreeApproach to Linear ModelsMichael J. WichuraUniversity of Chicago

The coordinate-free, or geometric,approach to the theory of linear models ismore insightful, more elegant, more direct,and simpler than the more common matrixapproach. This book treats Model IANOVA and linear regression models withnon-random predictors in a finite-dimen-sional setting.

Contents:1. Introduction; 2. Topics in Linear Algebra;3. Random Vectors; 4. Gauss-MarkovEstimation; 5. Normal Theory: Estimation;6. Normal Theory: Testing; 7. Analysis ofCovariance; 8. Missing Observations


2006/c. 216 pp./7 tables86842-4/Hb/List: $50.00*

Disc.: $40.00*

Now in Paperback!

Wavelet Methods forTime Series AnalysisDonald B. PercivalUniversity of WashingtonAndrew T. WaldenImperial College of Science, Technologyand Medicine, London

“The authors...provide considerable backgroundmaterial, tell their story from scratch, proceed at acareful pace...and work out detailed applica-tions...Recommended.”

CHOICE

Contents:1. Introduction to wavelets; 2. Review ofFourier theory and filters; 3. Orthonormaltransforms of time series; 4. The discretewavelet transform; 5. The maximal overlapdiscrete wavelet transform; 6. The discretewavelet packet transform; 7. Random vari-ables and stochastic processes; 8. The waveletvariance; 9. Analysis and synthesis of longmemory processes; 10. Wavelet-based signalestimation; 11. Wavelet analysis of finiteenergy signals; Appendix. Answers toembedded exercises; References; Authorindex; Subject index.


2006/624 pp./24 tables/119 exercises68508-7/Pb/List: $50.00

Disc.: $40.00


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Dynamical SystemsEditorsAlbert FathiEcole Normale Supérieure, LyonJ.-C. YoccozCollège de France, Paris

Contributors:A. Fathi, J.C. Yoccoz, Michael RobertHerman, Jon Aaronson, Benjamin Weiss, C.Bonnati, M. Viana, Jean Bourgain, MarcChaperon, Gonzalo Contreras, FernandoOliveira, R. De La Lave, E. I. Dinaburg, YaG. Sinai, M. Farber, T. Kappeler, J. Latschev,E. Zehnder, Bassam Fayad, Anatole Katok,Jacques Féjoz, Laurent Kaczmarek, Jean-Marc Gambaudo, É. Ghys, Jean-PierreMarco, David Sauzin, John N. Mather,Sheldon E. Newhouse, Carsten LundePetersen, G. Popov, Helmut Rüssmann,Laurent Stolovitch

2006/602 pp./70 line diagrams/1 half-tone86068-7/Hb/List: $110.00

Disc.: $88.00

Classical MechanicsR. Douglas GregoryUniversity of Manchester

Mechanics is the study of the motion ofphysical objects. As such, the subject findsits applications in all areas of physics andengineering. Topics covered in this text-book include Newton’s, Lagrange’s, andHamilton’s equations of motion, kinemat-ics, oscillation, particle mechanics, andrigid body motion. A thorough under-standing of the theory is provided byillustrating the classical laws of motionwith many relevant examples, Matlab codeand case studies. Solutions to exercises areavailable.

2006/608 pp./193 line diagrams/3 tables/348 exercises/181 worked examples

82678-0/Hb/List: $120.00Disc.: $96.00

53409-7/Pb/List: $60.00Disc.: $48.00

Mechanics ofSolids and MaterialsRobert AsaroVlado LubardaUniversity of California, San Diego

This book blends both innovative (largestrain, strain rate, temperature, timedependent deformation and localizedplastic deformation in crystalline solids,deformation of biological networks) andtraditional (elastic theory of torsion, elasticbeam and plate theories, contact mechan-ics) topics in a coherent theoretical frame-work. Extensive use of transform methodsto generate solutions will make this book ofinterest to structural, mechanical, and aero-space engineers. Plasticity theories, micro-mechanics, crystal plasticity, and energeticsof elastic systems are also covered, as well asan overall review of math and thermody-namics.

2006/880 pp./10 tables/180 exercises85979-4/Hb/List: $125.00

Disc.: $100.00

Nonlinear Dynamics andStatistical Theories forBasic Geophysical FlowsAndrew MajdaNew York UniversityXiaoming WangIowa State University

This introduction to the interplay betweennonlinear dynamics and statistical theoriesfor geophysical flows is designed for amulti-disciplinary audience ranging fromgraduate students to senior researchers.Novel applications of information theoryare utilized to simplify, unify, and comparethe equilibrium statistical theories.Topics and related background concepts areintroduced and developed through elemen-tary examples and discussion throughoutthe text as they arise. No previous back-ground in geophysical flows is needed toread the text.

2006/600 pp./150 line diagrams/10 tables83441-4/Hb/List: $90.00

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Lagrangian Fluid DynamicsAndrew BennettOregon State University

The emergence of observing systems suchas acoustically-tracked floats in the deepocean, and surface drifters navigating bysatellite has renewed interest in Lagrangianfluid dynamics. Starting from the founda-tions of elementary kinematics and assum-ing some familiarity of Eulerian fluiddynamics, this book reviews the classicaland new exact solutions of the Lagrangianframework, and then addresses the generalsolvability of the resulting general equa-tions of motion. A unified account of tur-bulent diffusion and dispersion is offered,with applications among others to plank-ton patchiness in the ocean.

Cambridge Monographs on Mechanics2006/308 pp./20 line diagrams/20 figures

85310-9/Hb/List: $95.00Disc.: $76.00

Computational Methodsfor Multiphase FlowEditorsAndrea ProsperettiThe Johns Hopkins UniversityGretar TryggvasonWorcester Polytechnic Institute, Massachusetts

This book is a comprehensive and self-contained, graduate-level introduction tothe computational modeling of multiphaseflows. Each chapter is written by a recog-nized expert in the field and containsextensive references to current research.The book is organized so that the chaptersare fairly independent to enable it to beused for a range of advanced courses.No other book offers the simultaneouscoverage of so many topics related tomultiphase flow. It will be welcomed byresearchers and graduate students in engi-neering, physics, and applied mathematics.

Contributors:A. Prosperetti, G. Tryggvason, S.Balachandar, M. Sussman, M. Y. Hussaini,H. Hu, S. Chen, X. He, L. S. Luo, J.Blawzdziewic, K. Squires, S. Sundaresan, S.Pannala, D. Z. Zhang

2006/c. 470 pp./77 line diagrams/5 tables/105 figures/23 color figures84764-8/Hb/List: $90.00*

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The Navier-Stokes EquationsA Classification of Flows andExact SolutionsPhilip DrazinUniversity of BristolNorman RileyUniversity of East Anglia

This book draws together exact solutionsfrom widely differing sources and presentsthem in a coherent manner, in part byclassifying solutions via their temporal andgeometric constraints. It will prove to be avaluable resource to all who have an inter-est in the subject of fluid mechanics, andin particular to those who are learning orteaching the subject at the senior under-graduate and graduate levels.

Contents:Preface; 1. Scope of the book; 2. Steady flowsbounded by plane boundaries; 3. Steadyaxisymmetric and related flows; 4. Unsteadyflows bounded by plane boundaries; 5.Unsteady axisymmetric and related flows.


2006/228 pp.68162-6/Pb/List: $50.00

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The Ricci FlowPeter ToppingUniversity of Warwick

This book provides an introduction to thesubject following Perelman’s approach andassumes that the reader has only completeda first course in differential geometry andhas some knowledge of PDEs.

Contents:1. Introduction; 2. Riemannian geometrybackground; 3. The maximum principle; 4.Comments on existence theory for parabolicPDE; 5. Existence theory for the Ricci flow;6. Ricci flow as a gradient flow; 7.Compactness of Riemannian manifolds andflows; 8. Perelman’s W entropy functional; 9.Curvature pinching and preserved curvatureproperties under Ricci flow; 10. Three-man-ifolds with positive Ricci curvature andbeyond.


2006/c. 150 pp.68947-3/Pb/List: $39.99*

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Mathematical Methods forPhysics and EngineeringA Comprehensive GuideThird EditionK. F. RileyM. P. HobsonUniversity of CambridgeS. J. Bence

The third edition of this highly acclaimedundergraduate textbook is suitable for teach-ing all the mathematics for an undergradu-ate course in any of the physical sciences.

Contents:Prefaces; 1. Preliminary algebra; 2.Preliminary calculus; 3. Complex numbersand hyperbolic functions; 4. Series and lim-its; 5. Partial differentiation; 6. Multipleintegrals; 7. Vector algebra; 8. Matrices andvector spaces; 9. Normal modes; 10. Vectorcalculus; 11. Line, surface and volume inte-grals; 12. Fourier series; 13. Integral trans-forms; 14. First-order ordinary differentialequations; 15. Higher-order ordinary differ-ential equations; 16. Series solutions of ordi-nary differential equations; 17.Eigenfunction methods for differential equa-tions; 18. Special functions; 19. Quantumoperators; 20. Partial differential equations:general and particular; 21. Partial differentialequations: separation of variables; 22.Calculus of variations; 23. Integral equa-tions; 24. Complex variables; 25.Application of complex variables; 26.Tensors; 27. Numerical methods; 28. Grouptheory; 29. Representation theory; 30.Probability; 31. Statistics; Index.2006/1362 pp./235 line diagrams/820 exercises

86153-5/Hb/List: $160.00Disc.: $128.00

67971-0/Pb/List: $80.00Disc.: $64.00

General RelativityAn Introduction for PhysicistsM. P. HobsonG. P. EfstathiouA. N. LasenbyUniversity of Cambridge

Contents:1. The spacetime of special relativity; 2.Manifolds and coordinates; 3. Vector calcu-lus on manifolds; 4. Tensor calculus on man-ifolds; 5. Special relativity revisited; 6.Electromagnetism; 7. The equivalence prin-ciple and spacetime curvature; 8. The gravi-tational field equations; 9. TheSchwarzschild geometry; 10. Experimentaltests of general relativity; 11. Schwarzschildblack holes; 12. Further spherically-symmet-ric geometries; 13. The Kerr geometry; 14.The Friedmann-Robertson-Walker geome-try; 15. Cosmological models; 16.Inflationary cosmology; 17. Linearised gen-eral relativity; 18. Gravitational waves; 19. Avariational approach to general relativity.

2006/590 pp./85 line diagrams/9 half-tones/8 tables/368 exercises

82951-8/Hb/List: $70.00Disc.: $56.00

Geometry of Quantum StatesAn Introduction toQuantum EntanglementIngemar BengtssonStockholms UniversitetKarol ZyczkowskiJagiellonian University, Krakow

Quantum information theory is at thefrontiers of physics, mathematics, andinformation science, offering a varietyof solutions that are impossible usingclassical theory. This richly-illustrated bookis useful to a broad audience of graduatesand researchers interested in quantuminformation theory.

Contents:Preface; 1. Convexity, colours and statistics;2. Geometry of probability distributions; 3.Much ado about spheres; 4. Complex pro-jective spaces; 5. Outline of quantummechanics; 6. Coherent states and groupactions; 7. The stellar representation; 8. Thespace of density matrices; 9. Purification ofmixed quantum states; 10. Quantum opera-tions; 11. Duality: maps versus states; 12.Density matrices and entropies; 13.Distinguishability measures; 14. Monotonemetrics and measures; 15. Quantum entan-glement; Epilogue; Appendices; References;Index.

2006/440 pp./100 line diagrams/15 half-tones/18 tables/84 exercises

81451-0/Hb/List: $95.00Disc.: $76.00



Now in Paperback!

Geometric Partial DifferentialEquations and Image AnalysisGuillermo SapiroUniversity of Minnesota

“I think that every person interested in imageanalysis by partial differential equations or relatedfields, such as differential geometry and curve evo-lution, should read this book.”

Mathematics of Computation

Contents:1. Basic mathematical background; 2.Geometric curve and surface evolution; 3.Geodesic curves and minimal surfaces; 4.Geometric diffusion of scalar images; 5.Geometric diffusion of vector valued images;6. Diffusion on non-flat manifolds; 7.Contrast enhancement; 8. Additional theo-ries and applications.

2006/416 pp.68507-9/Pb/List: $39.99

Disc.: $31.99

Path Integrals and Anomaliesin Curved SpaceFiorenzo BastianelliUniversità degli Studi, Bologna, ItalyPeter van NieuwenhuizenState University of New York

An advanced text for researchers and grad-uate students of quantum field theory andstring theory, the first part is also a stand-alone introduction to path integrals inquantum mechanics.

Contents:Part I. Path Integrals for QuantumMechanics in Curved Space: 1. Introductionto path integrals; 2. Time slicing; 3. Moderegularization; 4. Dimensional regularization;Part II. Applications to Anomalies: 5.Introduction to anomalies; 6. Chiral anom-alies from SUSY quantum fields; 7. Traceanomalies from ordinary and SUSY quantummechanics; 8. Conclusions and summary.

Cambridge Monographs onMathematical Physics

2006/c. 382 pp./58 line diagrams84761-3/Hb/List: $120.00

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Multiple ScatteringInteraction of Time-Harmonic Waveswith N ObstaclesPaul MartinColorado School of Mines

The interaction of waves with obstaclesis an everyday phenomenon in scienceand engineering, arising, for example, inacoustics, electromagnetism, seismologyand hydrodynamics. The mathematical the-ory and technology needed to understandthe phenomenon is known as multiple scat-tering, and this book is the first devoted tothe subject.

Contents:Preface; 1. Introduction; 2. Addition theo-rems in two dimensions; 3. Addition theo-rems in three dimensions; 4. Methods basedon separation of variables; 5. Integral equa-tion methods I: basic theory; 6. Integralequation methods II: further details; 7. Null-field and T-matrix methods; 8.Approximations; Appendices; Comments onthe bibliography; Bibliography; Citationindex; Index.


2006/c. 500 pp./10 line diagrams86554-9/Hb/List: $130.00*

Disc.: $104.00*

Probability and RandomProcesses for Electrical andComputer EngineersJohn GubnerUniversity of Wisconsin, Madison

Contents:Chapter dependencies; Preface; 1.Introduction to probability; 2. Introductionto discrete random variables; 3. More aboutdiscrete random variables; 4. Continuousrandom variables; 5. Cumulative distribu-tion functions and their applications; 6.Statistics; 7. Bivariate random variables; 8.Introduction to random vectors; 9. Gaussianrandom vectors; 10. Introduction to randomprocesses; 11. Advanced concepts in randomprocesses; 12. Introduction to Markovchains; 13. Mean convergence and applica-tions; 14. Other modes of convergence; 15.Self similarity and long-range dependence;Bibliography; Index.

2006/c. 650 pp./801 exercises/104 figures/348 worked examples

86470-4/Hb/List: $80.00*Disc.: $64.00*

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Dynamic Data AssimilationA Least Squares ApproachJohn LewisDesert Research Institute, Reno, NevadaS. LakshmivarahanSudarshan DhallUniversity of Oklahoma

Dynamic data assimilation is the assess-ment, combination, and synthesis ofobservational data, scientific laws, andmathematical models to make predictionsabout how a complex physical system willbehave. This book is designed to be a basicone-stop reference for graduate studentsand researchers. It is based on graduatecourses taught over a decade to mathemati-cians, scientists, and engineers, and itsmodular structure accommodates thevarious audience requirements.


2006/c. 700 pp./29 tables/208 exercises/110 figures

85155-6/Hb/List: $140.00*Disc.: $112.00*

Automata Theory withModern ApplicationsJames AndersonUniversity of South Carolina

Recent applications to biomolecular scienceand DNA computing have created a newaudience for automata theory and formallanguages. This is the only introductorybook to cover such applications. It beginswith a clear and readily understood exposi-tion of the fundamentals that assumes onlya background in discrete mathematics.With over 350 exercises (for which solutionsare available), many examples and illustra-tions, this text will make an ideal contempo-rary introduction for students; others, newto the field, will welcome it for self-learning.

Contents:1. Introduction; 2. Languages and codes; 3.Automata; 4. Grammars; 5. Turingmachines; 6. A visual approach to formallanguages; 7. From biopolymers to formallanguage theory; Bibliography; Index.

2006/c. 252 pp./5 tables/351 exercises/147 figures/109 worked examples

84887-3/Hb/List: $99.00Disc.: $79.20

61324-8/Pb/List: $45.00Disc.: $36.00

Complexity and CryptographyAn IntroductionJohn TalbotUniversity College LondonDominic WelshUniversity of Oxford

Cryptography plays a crucial role in manyaspects of today’s world, from Internetbanking and ecommerce to email and web-based business processes. Understandingthe principles on which it is based is animportant topic that requires a knowledgeof both computational complexity and arange of topics in pure mathematics.This book provides that knowledge, com-bining an informal style with strong proofsof the key results to provide an accessibleintroduction. It includes many examplesand exercises, and is based on a highlysuccessful course developed and taughtover many years.

Contents:1. Basics of cryptography; 2. Complexitytheory; 3. Non-deterministic computation;4. Probabilistic computation; 5. Symmetriccryptosystems; 6. One-way functions; 7.Public key cryptography; 8. Digital signa-tures; 9. Key establishment protocols; 10.Secure encryption; 11. Identificationschemes; Appendices; Bibliography; Index.


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Mathematics ofDigital ImagesCreation, Compression, Restoration,RecognitionS. G. HoggarUniversity of Glasgow

This major revision of the author’s popularbook still focuses on foundations andproofs, but now exhibits a shift away fromTopology to Probability and InformationTheory (with Shannon’s source and chan-nel encoding theorems) which are usedthroughout. Three vital areas for thedigital revolution are tackled (compression,restoration and recognition), establishingnot only what is true, but why, to facilitateeducation and research. It will remain avaluable book for computer scientists,engineers and applied mathematicians.

Contents:Introduction; 1. Isometries; 2. How isome-tries combine; 3. The braid patterns; 4. Planepatterns and symmetries; 5. The 17 planepatterns; 6. More plane truth; 7. Vectors andmatrices; 8. Matrix algebra; 9. Probability;10. Random vectors; 11. Sampling andinference; 12. Entropy and coding; 13.Information and error-correction; 14. TheFourier transform; 15. Transforming images;16. Scaling; 17. B-spline wavelets; 18.Further methods; References; Symbols;Selected answers; Index.

2006/c. 750 pp./30 half-tones/20 tables/125 exercises/250 figures/5 color figures

78029-2/Hb/List: $75.00*Disc.: $60.00*

A Guide to MATLABFor Beginners and Experienced UsersSecond EditionBrian R. HuntRonald L. LipsmanJonathan M. RosenbergUniversity of Maryland, College ParkKevin R. CoombesUniversity of TexasJohn E. OsbornGarrett J. StuckUniversity of Maryland, College Park

This is a short, focused introduction toMATLAB, a comprehensive software sys-tem for mathematical and technical com-puting. It contains concise explanations ofessential MATLAB commands, as well aseasily understood instructions for usingMATLAB’s programming features, graphi-cal capabilities, simulation models, and richdesktop interface. Written for MATLAB 7it can also be used with earlier (and later)versions of MATLAB. This book teacheshow to graph functions, solve equations,

manipulate images, and much more.It contains explicit instructions for usingMATLAB’s companion software, Simulink,which allows graphical models to be builtfor dynamical systems. MATLAB’s new“publish” feature is discussed, which allowsmathematical computations to be com-bined with text and graphics, to producepolished, integrated, interactive documents.2006/c. 377 pp./145 line diagrams/39 exercises/

9 worked examples85068-1/Hb/List: $110.00*

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ComputationalOriented MatroidsJuergen BokowskiTechnische Universität, Darmstadt, Germany

Oriented matroids play the role of matricesin discrete geometry, when metrical proper-ties, such as angles or distances, are neitherrequired nor available. Thus they are ofgreat use in such areas as graph theory,combinatorial optimization and convexgeometry. The combination of concreteapplications and computation, the profu-sion of illustrations, many in color, andthe large number of examples and exercisesmake this an ideal introductory text onthe subject. It will also be valuable for self-study for mathematicians and computerscientists working in discrete and computa-tional geometry.

Contents:1. Geometric matrix models i; 2. Geometricmatrix models ii; 3. From matrices to rank 3oriented matroids; 4. Oriented matroids ofarbitrary rank; 5. From oriented matroids toface lattices; 6. From face lattices to orientedmatroids i; 7. From face lattices to orientedmatroids ii; 8. From oriented matroids tomatrices; 9. Computational synthetic geom-etry; 10. Some oriented matroid applica-tions; 11. Some intrinsic oriented matroidproblems; Bibliography; Index.

2006/450 pp./150 line diagrams/50 half-tones/150 figures/81 color figures

84930-6/Hb/List: $75.00Disc.: $60.00






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Planning AlgorithmsSteven M. LaValleUniversity of Illinois, Urbana-Champaign

“This is a terrific book, a milestone in therobotics literature.”

Professor Matt Mason, Director ofThe Carnegie Mellon Robotics Institute

Written for computer scientists and engi-neers with interests in artificial intelligence,robotics, or control theory, this is the onlybook on this topic that integrates literaturefrom several fields into a coherent sourcefor teaching and reference in applicationsincluding robotics, computational biology,computer graphics, manufacturing, aero-space applications, and medicine.

Contents:Part I. Introductory Material: 1.Introduction; 2. Discrete planning; Part II.Motion Planning: 3. Geometric representa-tions and transformations; 4. The configura-tion space; 5. Sampling-based motionplanning; 6. Combinatorial motion plan-ning; 7. Extensions of basic motion plan-ning; 8. Feedback motion planning; Part III.Decision-Theoretic Planning: 9. Decision-theoretic planning; 10. Sequential decisiontheory; 11. Information spaces; 12. Planningunder sensing uncertainty; Part IV. PlanningUnder Differential Constraints: 13.Differential models; 14. Sampling-basedplanning under differential constraints; 15.System theory and analytical techniques


Disc.: $48.00

Now in Paperback!

Geometry and Topologyfor Mesh GenerationHerbert EdelsbrunnerDuke University, North Carolina

This book combines topics in mathematics(geometry and topology), computer science(algorithms), and engineering (mesh gener-ation). It emphasizes topics that are ele-mentary, attractive, useful, interesting, andlend themselves to teaching, making it anideal graduate text for courses on meshgeneration.

Contents:1. Delaunay triangulations; 2. Trianglemeshes; 3. Combinatorial topology; 4.Surface simplification; 5. Delaunay tetra-hedrizations; 6. Tetrahedron meshes; 7.Open problems.

Cambridge Monographs on Appliedand Computational Mathematics

2006/190 pp.68207-X/Pb/List: $29.99

Disc.: $23.99

Protecting InformationFrom Classical Error Correction toQuantum CryptographySusan LoeppWilliam WoottersWilliams College, Massachusetts

This undergraduate introduction to quan-tum computing focuses on error correctionand cryptography, providing a context inwhich ideas about mathematics, computerscience, and physics meet together.No prior knowledge of quantum mechanicsis assumed, but students should have someknowledge of linear algebra, vectors andmatrices.

Contents:1. Cryptography: an overview; 2. Quantummechanics; 3. Quantum cryptography; 4. Anintroduction to error-correcting codes; 5.Quantum cryptography revisited; 6.Generalized Reed-Solomon codes; 7.Quantum computing; A. Appendix.

2006/c. 288 pp./14 tables/159 exercises82740-X/Hb/List: $85.00*

Disc.: $68.00*53476-3/Pb/List: $30.00*

Disc.: $24.00*

Extending Mechanicsto MindsThe Mechanical Foundations ofPsychology and EconomicsJon DoyleNorth Carolina State University

“This is an extraordinary treatise providing insightinto a broad range of interrelated topics that havepuzzled philosophers for millennia and occupiedresearchers in artificial intelligence, economics,cognitive science and psychology for as long as thesedisciplines have existed. Doyle has himself beenstudying these topics for over two decades and hasprobably done more than any other scholar tobring to bear the perspectives and insights offeredby these disciplines and then to craft a new theorythat borrows from the past but considerablyexpands the explanatory power of previous theo-ries.”

Thomas Dean, Brown University

Contents:Part I. Reconciling Natural and MentalPhilosophy; Part II. Reconstructing RationalMechanics; Part III. Mechanical Minds; PartIV. The Metaphysics of Mechanics; Part V.Conclusion of the Matter.

2006/c. 480 pp.86197-7/Hb/List: $95.00

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Gender Differences inMathematicsAn Integrative Psychological ApproachEditorsAnn M. GallagherLaw School Admissions Council, Newton, PAJames C. KaufmanCalifornia State University, San Bernardino

“The under representation of women in manymathematically based disciplines and careers hasreceived renewed attention in the media recently,making this collection of articles that report onsocial scientific research into gender differences inmathematics timely indeed. Highly recommended.”

CHOICE

Contributors:Susan Chipman, Paula Caplan, JeremyCaplan, Diane Halpern, Jonathan Wai,Amanda Saw, James Byrnes, James M. Royer,Laura M. Garofoli, M. Beth Casey, RonaldNuttal, Elizabeth Pezaris, Rob Ibarra, PaulDavies, Steve Spencer, Talia Ben Zee,Cristina M. Carrasquillo, Alison M. L.Ching, Tattiya J. Kliengklom, Kristen L.McDonald, Daniel C. Newhall, Gillian E.Patton, Tiffany D. Stewart, Tonya Stoddard,Michael Inzlicht, Steve Fein, Alyssa Walters,Lisa Brown, Sophia Catsambis, Janis E.Jacobs, Pamela Davis-Kean, Martha Bleeker,Jacquelynne S. Eccles, Oksana Malachuk,Eunsook Hong, Harold O’Neil, DavidFeldon, Frank Pajares, Ann Gallagher, JamesKaufman

2005/368 pp./17 line diagrams/11 tables82605-5/Hb/List: $70.00

Disc.: $56.0053344-9/Pb/List: $27.99

Disc.: $22.39

Now in Paperback!

Fallacies in MathematicsE. A. MaxwellQueens’ College, Cambridge

“Enjoyment as well as enlightenment is providedby trying to detect the fallacies, or at least byreading the solutions given by the author of thislovely little work.”

Science

Contents:Preface; 1. The mistake, the howler and thefallacy; 2. Four geometrical fallacies enunci-ated; 3. Digression on elementary geometry;4. The ‘Isosceles Triangle’ fallacy analysed; 5.The other geometrical fallacies analysed; 6.Some fallacies in algebra and trigonometry;7. Fallacies in differentiation; 8. Fallacies inintegration; 9. Fallacy by the circular pointsat infinity; 10. Some ‘Limit’ fallacies; 11.Some miscellaneous howlers.

2006/96 pp.02640-7/Pb/List: $19.99

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BOOKS

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___ 848873 Anderson/Automata ............................Hb $99.00 $79.20

___ 613248 Anderson/Automata .............................Pb $45.00 $36.00

___ 780780 Armitage/Elliptic...................................Hb $90.00* $72.00*

___ 785634 Armitage/Elliptic ...................................Pb $42.99* $34.39*

___ 859794 Asaro/Mechanics..................................Hb $125.00 $100.00

___ 58423X Assem/Represent v1.............................Hb $90.00 $72.00

___ 586313 Assem/Represent v1 .............................Pb $45.00 $36.00

___ 847613 Bastianelli/Path Integral ........................Hb $120.00 $96.00

___ 814510 Bengtsson/Quantum ............................Hb $95.00 $76.00

___ 853109 Bennett/Lagrangian..............................Hb $95.00 $76.00

___ 853877 Benson/Music ......................................Hb $90.00* $72.00*

___ 619998 Benson/Music .......................................Pb $42.99* $34.39*

___ 867282 Bertoin/Random...................................Hb $65.00* $52.00*

___ 849306 Bokowski/Matroids ..............................Hb $75.00 $60.00

___ 849918 Bovier/Disordered ................................Hb $60.00 $48.00

___ 864399 Brannan/Analysis..................................Hb $90.00* $72.00*

___ 684242 Brannan/Analysis ..................................Pb $50.00* $40.00*

___ 865654 Brualdi/Matrix ......................................Hb $110.00* $88.00*

___ 615585 Canary/Manifolds .................................Pb $70.00* $56.00*

___ 851386 Carter/Lie Algebras ..............................Hb $80.00 $64.00

___ 853680 Chavel/Riemannian 2ed .......................Hb $95.00 $76.00

___ 619548 Chavel/Riemannian 2ed ........................Pb $45.00 $36.00

___ 853370 Cohn/Free Ideal....................................Hb $140.00 $112.00

___ 861977 Doyle/Mechanics..................................Hb $95.00 $76.00

___ 681626 Drazin/Navier-Stokes.............................Pb $50.00 $40.00

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Qty. List Disc.

___ 68207X Edelsbrunner/Mesh Generation.............Pb $29.99 $23.99

___ 860687 Fathi/Dynamical ...................................Hb $110.00 $88.00

___ 846226 Feller/LÈvy ............................................Hb $70.00 $56.00

___ 826055 Gallagher/Gender ................................Hb $70.00 $56.00

___ 533449 Gallagher/Gender .................................Pb $27.99 $22.39

___ 866804 Gardner/Tomography 2ed ....................Hb $140.00 $112.00

___ 684935 Gardner/Tomography 2ed.....................Pb $70.00 $56.00

___ 861039 Gille/Cohomology ................................Hb $75.00* $60.00*

___ 837715 Goldfeld/Automorph............................Hb $85.00* $68.00*

___ 826780 Gregory/Classical ................................Hb $110.00* $88.00*

___ 534097 Gregory/Classical .................................Pb $50.00* $40.00*

___ 864704 Gubner/Probability ...............................Hb $80.00* $64.00*

___ 810957 Harkleroad/Behind Music .....................Hb $65.00* $52.00*

___ 009359 Harkleroad/Behind Music......................Pb $24.00*$192.00*

___ 829518 Hobson/Relativity .................................Hb $70.00 $56.00

___ 780292 Hoggar/Digital ....................................Hb $75.00* $60.00*

___ 817501 Hoyle/Pattern ......................................Hb $80.00 $64.00

___ 688604 Huneke/Ideals.......................................Pb $60.00* $48.00*

___ 850681 Hunt/MATLAB 2ed ...............................Hb $110.00* $88.00*

___ 615658 Hunt/MATLAB 2ed................................Pb $50.00* $40.00*

___ 818338 Ionin/Combinatorics.............................Hb $130.00 $104.00

___ 687381 Kock/Differential 2ed............................Pb $55.00* $44.00*

___ 862051 LaValle/Planning...................................Hb $60.00 $48.00

___ 851556 Lewis/Assimilation................................Hb $140.00*$112.00*

___ 82740X Loepp/Protecting..................................Hb $85.00* $68.00*

___ 534763 Loepp/Protecting ..................................Pb $30.00* $24.00*

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Qty. List Disc.

___ 834414 Majda/Nonlinear ..................................Hb $90.00 $72.00

___ 863007 Marcus/Markov....................................Hb $90.00* $72.00*

___ 865549 Martin/Multiple....................................Hb $130.00*$104.00*

___ 026407 Maxwell/Fallacies ..................................Pb $19.99 $15.99

___ 866251 Michler/Finite .......................................Hb $150.00*$120.00*

___ 617979 Minsky/Kleinian ....................................Pb $70.00 $56.00

___ 849039 Montgomery/Multiplicative I ................Hb $80.00* $64.00*

___ 613051 Moore/Foliated 2ed ..............................Pb $39.99 $31.99

___ 681618 Pardo/Santander 05..............................Pb $75.00* $60.00*

___ 685087 Percival/Wavelet....................................Pb $50.00 $40.00

___ 683092 Pfister/Singularities ...............................Pb $75.00 $60.00

___ 847648 Prosperetti/Computational ...................Hb $90.00* $72.00*

___ 68160X Ranicki/Noncommutative ......................Pb $60.00 $48.00

___ 861535 Riley/Methods 3ed ...............................Hb $160.00 $128.00

___ 679710 Riley/Methods 3ed................................Pb $80.00 $64.00

___ 685079 Sapiro/Geometric..................................Pb $39.99 $31.99

___ 023947 Segal/Polycyclic.....................................Pb $43.00 $34.4.00

___ 836263 Shaw/Mathematica ..............................Hb $75.00 $60.00

___ 833604 Shlapentokh/Hilbert’s ...........................Hb $99.00 $79.20

___ 852315 Talbot/Cryptography ............................Hb $95.00 $76.00

___ 617715 Talbot/Cryptography .............................Pb $50.00 $40.00

___ 689473 Topping/Ricci ........................................Pb $39.99* $31.99*

___ 868424 Wichura/Coord-Free.............................Hb $50.00* $40.00*

___ 855357 Zong/Convex .......................................Hb $70.00 $56.00

O R D E R F O R M

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