Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)

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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics) image
ISBN-10:

1441930876

ISBN-13:

9781441930873

Author(s): Arnolʹd, V. I
Released: Dec 01, 2010
Publisher: Springer
Format: Paperback, 536 pages

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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