An Introduction to Hamiltonian Mechanics

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mechanics
Cover of the book An Introduction to Hamiltonian Mechanics by Gerardo F. Torres del Castillo, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Gerardo F. Torres del Castillo ISBN: 9783319952253
Publisher: Springer International Publishing Publication: September 8, 2018
Imprint: Birkhäuser Language: English
Author: Gerardo F. Torres del Castillo
ISBN: 9783319952253
Publisher: Springer International Publishing
Publication: September 8, 2018
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Advances in Information Retrieval by Gerardo F. Torres del Castillo
Cover of the book Applications and Usability of Interactive TV by Gerardo F. Torres del Castillo
Cover of the book Practical Boundary Surveying by Gerardo F. Torres del Castillo
Cover of the book Sustainability Engineering by Gerardo F. Torres del Castillo
Cover of the book Foundations and Practice of Security by Gerardo F. Torres del Castillo
Cover of the book (En)Gendering Taiwan by Gerardo F. Torres del Castillo
Cover of the book General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions by Gerardo F. Torres del Castillo
Cover of the book TRIZ. Theory of Inventive Problem Solving by Gerardo F. Torres del Castillo
Cover of the book Shakespeare and Conceptual Blending by Gerardo F. Torres del Castillo
Cover of the book Theory and Practice in the Bioarchaeology of Care by Gerardo F. Torres del Castillo
Cover of the book Darwin, Geodynamics and Extreme Waves by Gerardo F. Torres del Castillo
Cover of the book Secularization Revisited - Teaching of Religion and the State of Denmark by Gerardo F. Torres del Castillo
Cover of the book Advances in Global Marketing by Gerardo F. Torres del Castillo
Cover of the book Fuzzy Logic for Image Processing by Gerardo F. Torres del Castillo
Cover of the book Wundt and the Philosophical Foundations of Psychology by Gerardo F. Torres del Castillo
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy