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An Introduction to Hamiltonian Mechanics (Birkhäuser Advanced Texts Basler Lehrbücher)

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An Introduction to Hamiltonian Mechanics (Birkhäuser Advanced Texts Basler Lehrbücher) image
ISBN-10:

3030069974

ISBN-13:

9783030069971

Author(s): Torres del Castillo, Gerardo F.
Edition: Softcover reprint of the original 1st ed. 2018
Released: Jan 03, 2019
Publisher: Birkhauser
Format: Paperback, 376 pages
Related ISBN: 9783319952246
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Description:

This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises.

For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton-Jacobi equation, and the Liouville Theorem on solutions of the Hamilton-Jacobi equation. 

Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text.

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