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The Geometry of Ordinary Variational Equations

The Geometry of Ordinary Variational Equations - Lecture Notes in Mathematics

1997

Paperback (27 Nov 1997)

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Publisher's Synopsis

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.

Book information

ISBN: 9783540638322
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 1997
DEWEY: 515.353
DEWEY edition: 21
Language: English
Number of pages: 251
Weight: 830g
Height: 234mm
Width: 156mm
Spine width: 14mm