Item description for The Geometry of Ordinary Variational Equations (Lecture Notes in Mathematics) by Olga Krupkova...
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.
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Est. Packaging Dimensions: Length: 9" Width: 6.1" Height: 0.7" Weight: 0.8 lbs.
Release Date Dec 9, 1997
ISBN 3540638326 ISBN13 9783540638322
Availability 131 units. Availability accurate as of May 26, 2017 10:56.
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