An Introduction to Hamiltonian Mechanics Paperback / softback
by Gerardo F. Torres del Castillo
Part of the Birkhauser Advanced Texts / Basler Lehrbucher series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:366 pages, 42 Illustrations, black and white; X, 366 p. 42 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:03/01/2019
- Category:
- ISBN:9783030069971
Information
-
Out of stock
- Format:Paperback / softback
- Pages:366 pages, 42 Illustrations, black and white; X, 366 p. 42 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:03/01/2019
- Category:
- ISBN:9783030069971
