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An introduction to Hamiltonian mechanics

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An introduction to Hamiltonian mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to Hamiltonian mechanicsby Gerardo F. Torres del Castillo.
Author:	Torres del Castillo, Gerardo F.
Published:	Cham :Springer International Publishing :2018.
Description:	x, 366 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Hamiltonian systems.
Online resource:	http://dx.doi.org/10.1007/978-3-319-95225-3
ISBN:	9783319952253$q(electronic bk.)

An introduction to Hamiltonian mechanics
Torres del Castillo, Gerardo F.

An introduction to Hamiltonian mechanics[electronic resource] /by Gerardo F. Torres del Castillo. - Cham :Springer International Publishing :2018. - x, 366 p. :ill., digital ;24 cm. - Birkhauser advanced texts basler lehrbucher,1019-6242. - Birkhauser advanced texts basler lehrbucher..

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$q(electronic bk.)

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

207807
Hamiltonian systems.

LC Class. No.: QA614.83 / .T677 2018

Dewey Class. No.: 515.39

An introduction to Hamiltonian mechanics
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520 $a 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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