Mathematical aspects of classical and celestial mechanics / Vladimir I. Arnold, Valery V. Kozlov, Anatoly I. Neishtadt.

"In this book we describe the basic principles, problems, and methods of cl- sical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are e...

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Bibliographic Details
Main Authors: Arnolʹd, V. I. 1937-2010, Kozlov, V. V. (Author)
Other Authors: Neĭshtadt, A. I.
Format: Ebook
Language:English
Russian
Published: Berlin ; New York : Springer, 2006.
Edition:3rd revised and exp. edition.
Series:Dinamicheskie sistemy. 3.
Encyclopaedia of mathematical sciences ; v. 3.
Subjects:
Online Access:Springer eBooks
Contributor biographical information
Table of Contents:
  • Basic Principles of Classical Mechanics
  • The n-Body Problem
  • Symmetry Groups and Order Reduction
  • Variational Principles and Methods
  • Integrable Systems and Integration Methods
  • Perturbation Theory for Integrable Systems
  • Non-Integrable Systems
  • Theory of Small Oscillations
  • Tensor Invariants of Equations of Dynamics.
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