Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
ISBN-10
1441930876
ISBN-13
9781441930873
Category
Mathematics
Pages
520
Language
English
Published
2010-12-01
Publisher
Springer
Author
V.I. Arnol'd

Description

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

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