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Title

Essentials of Hamiltonian Dynamics
Author

John H. Lowenstein
Book information

Publisher: Cambridge (Cambridge)
Copyright year: 2012
ISBN: 9781107005204
Medium: Hardcover
Pages: 188
Out of print?: N
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Book cover image
Contents

Fundamentals of classical dynamics | Hamiltonian formalism | Integrable systems | Canonical perturbation theory | Order and chaos in Hamiltonian systems | The swing-spring | Appendix: Mathematica samples
Description

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.
Subjects

*Applied Mathematics
*Education
*Education > College
*Education > Graduate
*Mathematics
*Science > Biology
*Science > Chemistry
*Science > Physics
Keywords

Classical mechanics, Integrable systems, swing-spring
URL

http://www.cambridge.org/us/knowledge/isbn/item6621374/?site_locale=en_US&display=genresources