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

Type

Book

Authors

V. I. Arnold

ISBN 10

0387968903

ISBN 13

9780387968902

Tags

Civil & Environmental, Mechanical, Applied, Mathematical Analysis, Mathematical Physics, Mechanics, Mechanical Engineering, Mathematics, Physics

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. - from Amzon

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