An Introduction to Hamiltonian Mechanics

• Main Author: Torres del Castillo, Gerardo F. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Birkhäuser Advanced Texts Basler Lehrbücher,
• Subjects: Dynamics.; Ergodic theory.; Mechanics.; Mathematical physics.; Dynamical Systems and Ergodic Theory.; Classical Mechanics.; Mathematical Physics.

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 cou...

Table of Contents:

• Preface
• The Lagrangian Formalism
• Some Applications of the Lagrangian Formalism
• Rigid Bodies
• The Hamiltonian Formalism
• Canonical Transformations
• The Hamilton-Jacobi Formalism
• Solutions
• References
• Index.