Mathematical Aspects of Classical and Celestial Mechanics Third Edition /

• Main Authors: Arnold, Vladimir I. (Author), Kozlov, Valery V. (Author), Neishtadt, Anatoly I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Encyclopaedia of Mathematical Sciences, 3
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Partial differential equations.; Physics.; Dynamical Systems and Ergodic Theory.; Theoretical, Mathematical and Computational Physics.; Ordinary Differential Equations.; Partial Differential Equations.

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...

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.