ENGLISH

Mathematical methods of classical mechanics

By V. I. Arnold (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1989
ISBN
9781441930873
DOI
10.1007/978-1-4757-2063-1
Language
english
Format
DJVU
Filesize
5 MB (4946880 bytes)
Series
Graduate Texts in Mathematics 60
Edition
2
Pages
520\529
Library
kolxoz
DPI
600
Time added
2014-05-08 09:00:00
Analysis;TheoreticalMathematical and Computational Physics

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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