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Essentials of Hamiltonian Dynamics

$64.00 (Z)

  • Date Published: March 2012
  • availability: In stock
  • format: Hardback
  • isbn: 9781107005204

$64.00 (Z)

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About the Authors
  • Classical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in dynamics based on Hamiltonian methods. Readers are introduced to the impressive advances in the field during the second half of the twentieth-century, including KAM theory and deterministic chaos. Essential to these developments are some exciting ideas from modern mathematics, which are introduced carefully and selectively. Core concepts and techniques are discussed, together with numerous concrete examples to illustrate key principles. A special feature of the book is the use of computer software to investigate complex dynamical systems, both analytically and numerically. This text is ideal for graduate students and advanced undergraduates who are already familiar with the Newtonian and Lagrangian treatments of classical mechanics. The book is well suited to a one-semester course, but is easily adapted to a more concentrated format of one-quarter or a trimester. A solutions manual and introduction to Mathematica® are available online at

    • Covers all the topics essential to a graduate-level course in dynamics based on Hamiltonian methods, including an introduction to KAM theory and deterministic chaos
    • Numerous concrete examples to illustrate key principles and methods
    • A special feature of the book is the use of Mathematica® (or equivalent software) to help students investigate complex dynamical systems, both analytically and numerically
    • Well suited to a one-semester course, but is easily adapted to a more concentrated format of one quarter or trimester
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    Reviews & endorsements

    "Lowenstein's book is a short but far-reaching introduction to nonlinear dynamics that will particularly appeal to physicists. The cleverly chosen examples are a particular feature. An appendix includes some Mathematica code fragments that would enable most students' quick access to numerical investigations, something that is absolutely essential in a nonlinear dynamics course."
    Gerard Milburn for Contemporary Physics

    "This book provides a shortcut to many amazing and useful applications of this fascinating subject. I have no doubt that many instructors and students will benefit from this text."
    Anton Gorodetski, University of California, Irvine for Physics Today

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    Product details

    • Date Published: March 2012
    • format: Hardback
    • isbn: 9781107005204
    • length: 212 pages
    • dimensions: 253 x 180 x 15 mm
    • weight: 0.56kg
    • contains: 96 b/w illus. 70 exercises
    • availability: In stock
  • Table of Contents

    1. Fundamentals of classical dynamics
    2. Hamiltonian formalism
    3. Integrable systems
    4. Canonical perturbation theory
    5. Order and chaos in Hamiltonian systems
    6. The swing-spring
    Appendix: Mathematica® samples

  • general resources

    instructor resources

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    Group Section Name Type Size Sort Order filter vars
    General ResourcesComplementary MaterialBeginner's guide to Mathematicapdf791KB0complementary material general resources complementary material general resourcescomplementary material
    General ResourcesErrataErrata file for "Essentials of Hamiltonian Dynamics"pdf53KB1errata general resources errata general resourceserrata
    Instructor ResourcesSolutionsSolutions manual for the exercises in "Essentials of Hamiltonian Dynamics"pdf23031KB0solutions instructor resources solutions instructor resourcessolutions

    This title has a locked file and access is given only to instructors adopting the textbook for their class. We need to strictly enforce this so that solutions are not made available to students. To gain access to locked resources you need to first log in with your Cambridge account details and then return to this page to submit details of your course so you can be authenticated as an instructor. Click here to log in. If you do not have a Cambridge account you will first need to click here to create an account and then return to this page to be authenticated.

    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

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  • Author

    John H. Lowenstein, New York University
    John H. Lowenstein is Professor Emeritus of Physics at New York University and has been conducting research in nonlinear dynamics for more than 20 years. Prior to that, his research focus was in quantum field theory with an emphasis on soluble models and renormalized perturbation theory.

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