Mathematical Physics: Classical Mechanics
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Beschreibung
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.
Accessible introduction to Hamiltonian dynamics
Contains KAM theory
Many exercises with solutions
Accessible introduction to Hamiltonian dynamics Contains KAM theory Many exercises with solutions
Autor*in
Andreas Knauf
Themen in »Mathematical Physics: Classical Mechanics«
dynamical systems ergodic theory classical mechanics special relativity theory symplectic geometry Hamiltonian dynamics