Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) (Graduate Texts in Mathematics, 60)

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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) (Graduate Texts in Mathematics, 60) image
ISBN-10:

0387968903

ISBN-13:

9780387968902

Author(s): V. I. Arnold
Edition: 2nd
Released: May 16, 1989
Publisher: Springer
Format: Hardcover, 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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