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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Vol. 60)

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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Vol. 60) image
ISBN-10:

3540968903

ISBN-13:

9783540968900

Author(s): Arnold, V.I.
Released: Oct 01, 2000
Publisher: Springer-Verlag Berlin Heidelberg
Format: Hardcover, 0 pages
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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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