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 Atrial Fibrillation and Percutaneous Coronary Intervention by Gerardo F. Torres del Castillo
Cover of the book Cerebrospinal Fluid in Clinical Neurology by Gerardo F. Torres del Castillo
Cover of the book The Unstable Elbow by Gerardo F. Torres del Castillo
Cover of the book Tillich and the Abyss by Gerardo F. Torres del Castillo
Cover of the book The Factors Effecting Student Achievement by Gerardo F. Torres del Castillo
Cover of the book Cyber Security by Gerardo F. Torres del Castillo
Cover of the book Cinematic Philosophy by Gerardo F. Torres del Castillo
Cover of the book Machine Learning for Text by Gerardo F. Torres del Castillo
Cover of the book The Logical Legacy of Nikolai Vasiliev and Modern Logic by Gerardo F. Torres del Castillo
Cover of the book Clinical Cases in Coronary Rotational Atherectomy by Gerardo F. Torres del Castillo
Cover of the book Social Return on Investment Analysis by Gerardo F. Torres del Castillo
Cover of the book Multidisciplinary Treatment of Colorectal Cancer by Gerardo F. Torres del Castillo
Cover of the book Drug Discovery from Mother Nature by Gerardo F. Torres del Castillo
Cover of the book Data Science and Big Data Computing by Gerardo F. Torres del Castillo
Cover of the book Achieving Competitive Advantage through Quality Management 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