Mathematical Methods of Classical Mechanics

2nd ed. 1989

by V.I. Arnol'd

Book Details

Format Hardback or Cased Book

Book Series Graduate Texts in Mathematics

ISBN-10 0387968903

ISBN-13 9780387968902

Edition 2nd ed. 1989

Publisher Springer-Verlag New York Inc.

Imprint Springer-Verlag New York Inc.

Country of Manufacture GB

Country of Publication GB

Publication Date May 16th, 1989

Print length 520 Pages

Weight 956 grams

Dimensions 23.70 x 16.20 x 3.50 cms

Product Classification: Classical mechanics

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In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism.

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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