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The Geometry of Ordinary Variational Equations (Lecture Notes in Mathematics)
Posted on 2010-04-13
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Author: Olga Krupkova
Publisher: Springer (1997) Binding: Paperback, 251 pages pricer: $50.00 ISBN-10: 3540638326 editorialreviews The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, etc., for any Lagrangian system of any order are presented. The key idea - to build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations. checked
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