Synopsis
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 textassumes 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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Gerardo F. Torres del Castillo is a professor of physics and mathematics at the Universidad Autónoma de Puebla, where he has taught since 1979. He is the author or coauthor of more than 30 papers on classical mechanics. His other published books are Differentiable Manifolds; 3-D Spinors, Spin-Weighted Functions and their Applications; and Spinors in Four-Dimensional Spaces.
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An Introduction to Hamiltonian Mechanics
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Springer International Publishing Sep 2018, 2018
ISBN 10 : 3319952242
ISBN 13 : 9783319952246
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 376 pp. Englisch. N° de réf. du vendeur 9783319952246
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An Introduction to Hamiltonian Mechanics
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An Introduction to Hamiltonian Mechanics (Birkhäuser Advanced Texts Basler Lehrbücher)
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An Introduction to Hamiltonian Mechanics
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Springer International Publishing, 2018
ISBN 10 : 3319952242
ISBN 13 : 9783319952246
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Couverture rigide
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An Introduction to Hamiltonian Mechanics
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 376 pp. Englisch. N° de réf. du vendeur 9783319952246
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An Introduction to Hamiltonian Mechanics (Birkhäuser Advanced Texts Basler Lehrbücher)
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An Introduction to Hamiltonian Mechanics
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ISBN 10 : 3319952242
ISBN 13 : 9783319952246
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Buch. Etat : Neu. An Introduction to Hamiltonian Mechanics | Gerardo F. Torres del Castillo | Buch | x | Englisch | 2018 | Springer International Publishing | EAN 9783319952246 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 113908884
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An Introduction to Hamiltonian Mechanics
ISBN 10 : 3319952242
ISBN 13 : 9783319952246
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 textassumes 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. N° de réf. du vendeur 9783319952246
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