Overview
- Accessible introduction to Hamiltonian dynamics
- Contains KAM theory
- Many exercises with solutions
Part of the book series: UNITEXT (UNITEXT, volume 109)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
Keywords
About this book
As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics.
The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.
Authors and Affiliations
About the author
Andreas Knauf is a professor of mathematics at the Friedrich-Alexander Universität Erlangen-Nürnberg. His research interests include classical, quantum and statistical mechanics.
He is the author, with Markus Klein, of the book ‚Classical Planar Scattering by Coulombic Potentials‘ and, with Yakov Sinai, of the book ‚Classical Nonintegrability, Quantum Chaos‘.
Bibliographic Information
Book Title: Mathematical Physics: Classical Mechanics
Authors: Andreas Knauf
Translated by: Jochen Denzler
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-3-662-55774-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag GmbH Germany 2018
Softcover ISBN: 978-3-662-55772-3Published: 07 March 2018
eBook ISBN: 978-3-662-55774-7Published: 24 February 2018
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 1
Number of Pages: XIV, 683
Number of Illustrations: 39 b/w illustrations, 53 illustrations in colour
Topics: Mathematical Physics, Theoretical, Mathematical and Computational Physics