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The Geometry of Ordinary Variational Equations by Olga Krupkova
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The Geometry of Ordinary Variational Equations

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Description

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.
Release date Australia
November 27th, 1997
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
CCLXIV, 254 p.
Pages
254
Dimensions
156x234x14
ISBN-13
9783540638322
Product ID
2807023

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Books >
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