La Matematica per il 3+2

Mathematical Physics: Classical Mechanics

Authors: Knauf, Andreas

  • Accessible introduction to Hamiltonian dynamics
  • Contains KAM theory
  • Many exercises with solutions
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eBook $69.99
price for USA in USD (gross)
  • ISBN 978-3-662-55774-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA in USD
  • ISBN 978-3-662-55772-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

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‘.

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Table of contents (17 chapters)

  • Introduction

    Knauf, Andreas

    Pages 1-10

  • Dynamical Systems

    Knauf, Andreas

    Pages 11-29

  • Ordinary Differential Equations

    Knauf, Andreas

    Pages 31-60

  • Linear Dynamics

    Knauf, Andreas

    Pages 61-78

  • Classification of Linear Flows

    Knauf, Andreas

    Pages 79-95

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-3-662-55774-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA in USD
  • ISBN 978-3-662-55772-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Physics: Classical Mechanics
Authors
Translated by
Denzler, J.
Series Title
La Matematica per il 3+2
Series Volume
109
Copyright
2018
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
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
Series ISSN
2038-5722
Edition Number
1
Number of Pages
XIV, 683
Number of Illustrations and Tables
39 b/w illustrations, 53 illustrations in colour
Topics