Mathematical Physics: Classical Mechanics

Classical dynamics, as a limit theory of quantum mechanics, encompasses a range of phenomena from computable to chaotic behavior. This book presents the KAM theory and asymptotic completeness in classical scattering, with examples in physics and a self-contained presentation suitable for graduate and senior undergraduate students in mathematics and physics.

Format: Paperback / softback
Length: 683 pages
Publication date: 07 March 2018
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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.

Weight: 1066g
Dimension: 166 x 237 x 39 (mm)
ISBN-13: 9783662557723
Edition number: 1st ed. 2018