Recent Developments in the Theory of Hamiltonian Systems · Recent Developments in the Theory of...

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Recent Developments in the Theory of Hamiltonian Systems Author(s): Jurgen Moser Source: SIAM Review, Vol. 28, No. 4 (Dec., 1986), pp. 459-485 Published by: Society for Industrial and Applied Mathematics Stable URL: http://www.jstor.org/stable/2031099 Accessed: 17/05/2010 19:17 Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/action/showPublisher?publisherCode=siam. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Society for Industrial and Applied Mathematics is collaborating with JSTOR to digitize, preserve and extend access to SIAM Review. http://www.jstor.org

Transcript of Recent Developments in the Theory of Hamiltonian Systems · Recent Developments in the Theory of...

  • Recent Developments in the Theory of Hamiltonian SystemsAuthor(s): Jurgen MoserSource: SIAM Review, Vol. 28, No. 4 (Dec., 1986), pp. 459-485Published by: Society for Industrial and Applied MathematicsStable URL: http://www.jstor.org/stable/2031099Accessed: 17/05/2010 19:17

    Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available athttp://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unlessyou have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and youmay use content in the JSTOR archive only for your personal, non-commercial use.

    Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained athttp://www.jstor.org/action/showPublisher?publisherCode=siam.

    Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printedpage of such transmission.

    JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range ofcontent in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new formsof scholarship. For more information about JSTOR, please contact [email protected].

    Society for Industrial and Applied Mathematics is collaborating with JSTOR to digitize, preserve and extendaccess to SIAM Review.

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    Issue Table of ContentsSIAM Review, Vol. 28, No. 4 (Dec., 1986), pp. 459-620Volume InformationFront MatterRecent Developments in the Theory of Hamiltonian Systems [pp. 459 - 485]Convergence Properties of Algorithms for Nonlinear Optimization [pp. 487 - 500]Conjugate Gradient Methods Less Dependent on Conjugacy [pp. 501 - 511]On a General Class of Models for Interaction [pp. 513 - 527]Numerical Linear Algebra Aspects of Globally Convergent Homotopy Methods [pp. 529 - 545]Classroom NotesA Complete Russel's Method for the Transportation Problem [pp. 547 - 549]Financial Planning in an Inflationary Economy [pp. 551 - 564]

    ProblemsMaximum Stability: Problem 86-16 [p. 565]Sign Pattern of Terms of a Maclaurin Series: Problem 86-17 [p. 565]A Nonlinear Difference Equation: Problem 86-18 [pp. 566 - 567]A Conjectured Minimum Degree Determinantal Polynomial: Problem 86-19 [p. 567]An OC Curve Inequality: Problem 86-20 [p. 568]

    SolutionsA Conjectured Definite Integral: Problem 85-16 [pp. 568 - 569]An Integral Identity: Problem 85-17 [p. 570]Radius of Convergence of a Power Series: Problem 85-18 [pp. 570 - 572]A Hypergeometric Function Integral: Problem 85-19 [pp. 572 - 573]An Inequality: Problem 85-20 [pp. 573 - 574]Basic Hypergeometric Extensions of Some Integrals: Problem 85-21 [pp. 574 - 575]A Moment Generating Function: Problem 85-22 [pp. 575 - 576]An Identity for Double Hypergeometric Series: Problem 85-24 [pp. 576 - 578]Series Involving Bessel Functions: Problem 85-25 [pp. 578 - 579]Inequality for a Simplex: Problem 85-26 [pp. 579 - 580]

    Book Reviewsuntitled [pp. 581 - 582]untitled [pp. 583 - 584]untitled [pp. 584 - 586]untitled [p. 586]untitled [pp. 586 - 587]untitled [pp. 587 - 588]untitled [pp. 588 - 589]untitled [pp. 590 - 592]untitled [pp. 592 - 593]untitled [pp. 593 - 594]untitled [pp. 594 - 595]untitled [pp. 595 - 597]untitled [pp. 597 - 599]untitled [pp. 600 - 601]untitled [p. 601]untitled [pp. 602 - 603]Other Books Received [pp. 604 - 612]

    Chronicle [pp. 613 - 620]Back Matter