Mathematical Methods of Classical Mechanics
Second edition
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Author
Publication
1989 - Springer-Verlag, Berlin, Germany
Language
English
Translation of: Matematicheskie metody klassicheskoi mekhaniki
Word Count
127,000 words, Guess
Page Count
508 pages
Identifiers
- Internet Archivemathematicalmeth00arno_565
- ISBN-103540968903
- ISBN-139783540968900
- ISSN0072-5285
- Goodreads6884217
and 1 more
- Open LibraryOL15275862M
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.
Subjects
Topics
Series Statement
- Graduate Texts in Mathematics, Volume 60
Other Editions
- Mathematical Methods of Classical Mechanics
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