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Foundations of mechanics

Author: Ralph Abraham; Jerrold E Marsden
Publisher: Providence, R.I. : AMS Chelsea Pub./American Mathematical Society, 2008.
Series: AMS Chelsea publishing
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

A reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics. It offers a treatment of geometric mechanics. It is also suitable as a textbook for the  Read more...

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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ralph Abraham; Jerrold E Marsden
ISBN: 9780821844380 0821844385
OCLC Number: 191847156
Notes: Originally published: Reading, Mass. : Benjamin/Cummings Pub., 1978.
Description: xxiv, 826 pages : illustrations ; 26 cm.
Contents: pt. I. Preliminaries. Differential theory --
Calculus on manifolds --
pt. II. Analytical dynamics. Hamiltonian and Lagrangian systems --
Hamiltonian systems with symmetry --
Hamilton-Jacobi theory and mathematical physics --
pt. III. An outline of qualitative dynamics. Topological dynamics --
Differentiable dynamics --
Hamiltonian dynamics --
pt. IV. Celestial mechanics. The two-body problem --
The three-body problem.
Series Title: AMS Chelsea publishing
Responsibility: Ralph Abraham, Jerrold E. Marsden, with the assistance of Tudor Ratiu and Richard Cushman.

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