Foundations of mechanics /
Abraham, Ralph
Foundations of mechanics / Ralph Abraham, Jerrold E. Marsden. - Second edition - xxiv, 826 pages : illustrations ; 26 cm.
Originally published: Reading, Mass. : Benjamin/Cummings Pub., 1978. Includes index.
Includes bibliographical references (p. 759-789).
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.
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 foundations of differentiable and Hamiltonian dynamics.
9780821844380 (hbk. : alk. paper) 0821844385 (hbk. : alk. paper)
2008005206
Mechanics, Analytic
Differential geometry
Celestial mechanics.
QA805 / .A2 2008
531.0151
Foundations of mechanics / Ralph Abraham, Jerrold E. Marsden. - Second edition - xxiv, 826 pages : illustrations ; 26 cm.
Originally published: Reading, Mass. : Benjamin/Cummings Pub., 1978. Includes index.
Includes bibliographical references (p. 759-789).
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.
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 foundations of differentiable and Hamiltonian dynamics.
9780821844380 (hbk. : alk. paper) 0821844385 (hbk. : alk. paper)
2008005206
Mechanics, Analytic
Differential geometry
Celestial mechanics.
QA805 / .A2 2008
531.0151