Mathematical Physics: Classical Mechanics

• Κύριος συγγραφέας: Knauf, Andreas (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: La Matematica per il 3+2, 109
• Θέματα: Mathematical physics.; Mathematical Physics.; Theoretical, Mathematical and Computational Physics.
• Φυσική περιγραφή: XIV, 683 p. 92 illus., 53 illus. in color. online resource.
• ISBN: 9783662557747
• ISSN: 2038-5722 ;
• DOI: 10.1007/978-3-662-55774-7

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.