ENGLISH

Mathematical Methods Of Classical Mechanics

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

Book information

Publisher
Springer
Year
1989
ISBN
9780387968902, 0-387-96890-3, 3-540-96890-3
LCC
QA805 .A6813 1989
Open Library ID
OL15275862M
Language
english
Format
PDF
Filesize
21 MB (21896981 bytes)
Series
Graduate Texts in Mathematics
Edition
2nd
Pages
536\536
Library
Springer
Time added
2009-08-06 07:02:15

Description

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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