The Geometry of Ordinary Variational Equations

Released on by Olga Krupkova
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  • The Geometry of Ordinary Variational Equations Book Detail

  • Author : Olga Krupkova
  • Release Date : 2006-11-14
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 261
  • ISBN 13 : 3540696571
  • File Size : 77,77 MB
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The Geometry of Ordinary Variational Equations by Olga Krupkova PDF Summary

Book 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.

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