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An Introduction to Hamiltonian Mechanics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Introduction to Hamiltonian Mechanics/ by Gerardo F. Torres del Castillo.
作者:	Torres del Castillo, Gerardo F.
面頁冊數:	X, 366 p. 42 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Dynamics. -
電子資源:	https://doi.org/10.1007/978-3-319-95225-3
ISBN:	9783319952253

An Introduction to Hamiltonian Mechanics
Torres del Castillo, Gerardo F.

An Introduction to Hamiltonian Mechanics[electronic resource] /by Gerardo F. Torres del Castillo. - 1st ed. 2018. - X, 366 p. 42 illus.online resource. - Birkhäuser Advanced Texts Basler Lehrbücher,1019-6242. - Birkhäuser Advanced Texts Basler Lehrbücher,.

Preface -- The Lagrangian Formalism -- Some Applications of the Lagrangian Formalism -- Rigid Bodies -- The Hamiltonian Formalism -- Canonical Transformations -- The Hamilton–Jacobi Formalism -- Solutions -- References -- Index.

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.

ISBN: 9783319952253

Standard No.: 10.1007/978-3-319-95225-3doiSubjects--Topical Terms:

592238
Dynamics.

LC Class. No.: QA313

Dewey Class. No.: 515.39

An Introduction to Hamiltonian Mechanics
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