Mathematical Aspects of Classical and Celestial Mechanics

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 explore...

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Main Authors: Arnold, Vladimir I., Kozlov, Valery V. (Author), Neishtadt, Anatoly I. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2006, 2006
Edition:3rd ed. 2006
Series:Encyclopaedia of Mathematical Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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