Mathematical Physics: Classical Mechanics

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.

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‘.

Summary

Accessible introduction to Hamiltonian dynamics
Contains KAM theory

Many exercises with solutions

Product details

• Authors: Andreas Knauf
• Assisted by: Jochen Denzler (Translation)
• Publisher: Springer, Berlin
• Content: Book
• Product form: Paperback / Softback
• Publication date: 01.01.2018
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics
• EAN: 9783662557723
• ISBN: 978-3-662-55772-3
• Pages: 683
• Illustrations: XIV, 683 p. 92 illus., 53 illus. in color.
• Dimensions (packing): 15.8 x 23.6 x 4 cm
• Weight (packing): 1,066 g
• Series: UNITEXT /La Matematica per il 3+2 > 109, UNITEXT > .109, La Matematica per il 3+2, UNITEXT, La Matematica per il 3+2, UNITEXT /La Matematica per il 3+2 > 109
• Subjects: B, Mathematics and Statistics, Theoretical, Mathematical and Computational Physics, Mathematical physics, symplectic geometry, Hamiltonian dynamics, special relativity theory