Mathematical Methods of Classical Mechanics

By:

V.I. Arnol'd

Format:

Hardback

Series:

Graduate Texts in Mathematics,

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Description

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 modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

Release date NZ

May 16th, 1989

Author

V.I. Arnol'd

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Contributors

Translated by A. Weinstein
Translated by K. Vogtmann

Edition

2nd ed. 1989

Illustrations

XVI, 520 p.

Pages

520

Series

Graduate Texts in Mathematics,

Dimensions

156x234x30

ISBN-13

9780387968902

Product ID

2043025

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