An Introduction to Hamiltonian Mechanics (repost)
An Introduction to Hamiltonian Mechanics by Gerardo F. Torres del Castillo
English | 2018 | 371 Pages | ISBN : 3319952242 | PDF | 5 MB
English | 2018 | 371 Pages | ISBN : 3319952242 | PDF | 5 MB
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.