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Essentials of Hamiltonian Dynamics

John H. Lowenstein (New York University)

$76.95

Hardback

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English
Cambridge University Press
19 January 2012
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 www.cambridge.org/Lowenstein.

By:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 253mm,  Width: 180mm,  Spine: 15mm
Weight:   560g
ISBN:   9781107005204
ISBN 10:   1107005205
Pages:   212
Publication Date:  
Audience:   Professional and scholarly ,  College/higher education ,  Undergraduate ,  Primary
Format:   Hardback
Publisher's Status:   Active

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.

Reviews for Essentials of Hamiltonian Dynamics

'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, Physics Today '... [this] book reminds us that the pursuit of science gives us the joy to wonder about and find answers to the mysteries of the universe, but also provides us with the tools needed to address future societal challenges ... an excellent and inspiring read.' Physics Today 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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