Mathematical Physics: Classical Mechanics by Andreas Knauf

Mathematical Physics: Classical Mechanics by Andreas Knauf

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.

Andreas Knauf is a mathematics professor at Erlangen-Nürnberg's Friedrich-Alexander Universität. Classical, quantum, and statistical mechanics are among his research interests. He co-authored the book 'Classical Planar Scattering by Coulombic Potentials' with Markus Klein and the book 'Classical Nonintegrability, Quantum Chaos' with Yakov Sinai.