Mathematical Physics: Classical Mechanics
Autoren: Knauf, Andreas
- Accessible introduction to Hamiltonian dynamics
- Contains KAM theory
- Many exercises with solutions
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- Über dieses Lehrbuch
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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.
- Über die Autor*innen
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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‘.
- Inhaltsverzeichnis (17 Kapitel)
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Introduction
Seiten 1-10
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Dynamical Systems
Seiten 11-29
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Ordinary Differential Equations
Seiten 31-60
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Linear Dynamics
Seiten 61-78
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Classification of Linear Flows
Seiten 79-95
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Inhaltsverzeichnis (17 Kapitel)
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Bibliografische Information
- Bibliographic Information
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- Buchtitel
- Mathematical Physics: Classical Mechanics
- Autoren
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- Andreas Knauf
- Übersetzt von
- Denzler, J.
- Titel der Buchreihe
- La Matematica per il 3+2
- Buchreihen Band
- 109
- Copyright
- 2018
- Verlag
- Springer-Verlag Berlin Heidelberg
- Copyright Inhaber
- Springer-Verlag GmbH Germany
- eBook ISBN
- 978-3-662-55774-7
- DOI
- 10.1007/978-3-662-55774-7
- Softcover ISBN
- 978-3-662-55772-3
- Buchreihen ISSN
- 2038-5722
- Auflage
- 1
- Seitenzahl
- XIV, 683
- Anzahl der Bilder
- 39 schwarz-weiß Abbildungen, 53 Abbildungen in Farbe
- Themen
