Mathematical Methods of Classical Mechanics by A. Weinstein, K. Vogtmann, V.I. Arnol'd

Mathematical Methods of Classical Mechanics



Download Mathematical Methods of Classical Mechanics




Mathematical Methods of Classical Mechanics A. Weinstein, K. Vogtmann, V.I. Arnol'd
Language: English
Page: 536
Format: djvu
ISBN: 1441930876, 9781441930873
Publisher: Springer

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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