Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)

Arnold, V. I./ Vogtmann, K./ Weinstein, A.

ISBN 10: 0387968903 / ISBN 13: 9780387968902

Published by Springer Verlag, 1989

About this Item

2nd sub edition. 525 pages. 9.75x6.50x1.25 inches. In Stock.

Seller Inventory # x-0387968903

Bibliographic Details

• Title: Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)
• Publisher: Springer Verlag
• Publication Date: 1989
• Language: English
• ISBN 10: 0387968903
• ISBN 13: 9780387968902
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: Brand New
• Weight: 0.91 kilograms

About this title

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