Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)

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9783540968900: Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)
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Title: Mathematical Methods of Classical Mechanics <>Binding: Hardcover <>Author: V I Arnold <>Publisher: Springer

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Second Edition

V.I. Arnol’d

Mathematical Methods of Classical Mechanics

"The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview."

―AMERICAN MATHEMATICAL MONTHLY

Synopsis:

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.

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Other Popular Editions of the Same Title

9780387968902: Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)

Featured Edition

ISBN 10:  0387968903 ISBN 13:  9780387968902
Publisher: Springer, 1997
Hardcover

9781441930873: Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)

Springer, 2010
Softcover