Mathematical Methods of Classical Mechanics

Arnold, V. I.; Weinstein, A. & K. Vogtmann

ISBN 10: 0387968903 / ISBN 13: 9780387968902

Published by Springer, 1989

Glossy hardback covers in very good condition. ; Graduate Texts in Mathematics, Vol. 60; 1.1 x 9.29 x 6.3 Inches; 525 pages. Seller Inventory # 15936

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.

Language Notes: Text: English (translation)
Original Language: Russian

Bibliographic Details

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