Mathematical Methods of Classical Mechanics by Vladimir I. Arnold - PDF and EPUB eBook
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the...
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Details of Mathematical Methods of Classical Mechanics
- Exact title of the book
- Mathematical Methods of Classical Mechanics
- Book author
- Vladimir I. Arnold
- Book edition
- Number of pages
- 462 pages
- November 5th 1978 by Springer
- File size (in PDF)
- 1848 kB
Some brief overview of book
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.