Foundations of mechanics

By: Abraham,RalphContributor(s): Marsden, Jerrold EMaterial type: TextTextSeries: AMS Chelsea publishingPublication details: Massacsusetts: The Benjamin/Cummings Publishing Company, 1978Edition: 2nd edDescription: xxii, 806 pages : illustrationsISBN: 9780821844380 ; 0821844385; 9780805301021 ; 080530102XSubject(s): Mechanics, AnalyticDDC classification: 530
Contents:
Differential theory --Calculus on manifolds -- Hamiltonian and Lagrangian systems -- Hamiltonian systems with symmetry -- Hamilton-Jacobi theory and mathematical physics -- Topological dynamics -- Differentiable dynamics -- Hamiltonian dynamics -- The two-body problem -- The three-body problem.
Summary: Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics.-Zentralblatt für Mathematik For many years, this book has been viewed as a classic treatment of geometric mechanics. It is known for its broad exposition of the subject, with many features that cannot be found elsewhere. The book is recommended as a textbook and as a basic reference work for the foundations of differentiable and Hamiltonian dynamics.
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Includes Bibliography & Index

Differential theory --Calculus on manifolds --
Hamiltonian and Lagrangian systems --
Hamiltonian systems with symmetry --
Hamilton-Jacobi theory and mathematical physics --
Topological dynamics --
Differentiable dynamics --
Hamiltonian dynamics --
The two-body problem --
The three-body problem.


Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics.-Zentralblatt für Mathematik For many years, this book has been viewed as a classic treatment of geometric mechanics. It is known for its broad exposition of the subject, with many features that cannot be found elsewhere. The book is recommended as a textbook and as a basic reference work for the foundations of differentiable and Hamiltonian dynamics.

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