Elementary Symplectic Topology and Mechanics


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This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hormander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, ...

Elementary Symplectic Topology and Mechanics 2014, Springer

ISBN-13: 9783319110257

2015 edition

Trade paperback