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Title: Mathematical Methods of Classical Mechanics Condition: New EAN: 9780387968902 ISBN: 9780387968902 Edition: 2nd ed. 1989 Publisher: Springer-Verlag New York Inc. Format: Hardback Release Date: 16/05/1989 Item Height: 235mm Item Length: 155mm Author: V.I. Arnol'd Translator: K. Vogtmann, A. Weinstein Contributor: K. Vogtmann (Translated by), A. Weinstein (Translated by) Language: English 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. Country/Region of Manufacture: US Genre: Science Nature & Math Book Series: Graduate Texts in Mathematics Release Year: 1989
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