Foundations of Mechanics

Foundations of Mechanics

Hardback

By (author) Ralph Abraham, By (author) Jerrold E. Marsden

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  • Publisher: American Mathematical Society
  • Format: Hardback | 806 pages
  • Dimensions: 182mm x 262mm x 44mm | 1,642g
  • Publication date: 4 June 2008
  • Publication City/Country: Providence
  • ISBN 10: 0821844385
  • ISBN 13: 9780821844380
  • Edition: 2
  • Edition statement: New ed of 2nd revised ed
  • Sales rank: 285,007

Product description

Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics.

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Table of contents

Preliminaries: Differential theory Calculus on manifolds Analytical dynamics: Hamiltonian and Lagrangian systems Hamiltonian systems with symmetry Hamilton-Jacobi theory and mathematical physics An outline of qualitative dynamics: Topological dynamics Differentiable dynamics Hamiltonian dynamics Celestial mechanics: The two-body problem The three-body problem The general theory of dynamical systems and classical mechanics by A. N. Kolmogorov Bibliography Index Glossary of symbols Errata.