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

V. I. Arnold

ISBN 10: 0387968903 / ISBN 13: 9780387968902

Published by Springer, 1989

About this Item

Seller Inventory # I-9780387968902

Bibliographic Details

• Title: Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)
• Publisher: Springer
• Publication Date: 1989
• Language: English
• ISBN 10: 0387968903
• ISBN 13: 9780387968902
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: New

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