ENGLISH

Mathematical Methods of Classical Mechanics

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

Book information

Publisher
Springer, Berlin
Year
1989
ISBN
0387968903, 9780387968902
LCC
QA805 .A6813 1989
Open Library ID
OL2060461M
Language
english
Format
DJVU
Filesize
5 MB (5742368 bytes)
Series
Graduate Texts in Mathematics
Edition
2 Sub
Pages
536\536
Time added
2011-01-08 23:22:23

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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