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

V. I. Arnold

ISBN 10: 0387968903 / ISBN 13: 9780387968902

Published by Springer, 1989

Page block firm and clean, binding unblemished, boards straight, without markings of any kind. Fine, like new condition. Supporting Bay Area Friends of the Library since 2010. Well packaged and promptly shipped. Seller Inventory # 1LAUHV002Z92

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.

Review:

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

Bibliographic Details

Title: Mathematical Methods of Classical Mechanics ...
Publisher: Springer
Publication Date: 1989
Binding: Hardcover
Condition: LikeNew
Edition: 2nd Edition