The Geometry of Ordinary Variational Equations

Paperback Engels 1997 1997e druk 9783540638322
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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.

Specificaties

ISBN13:9783540638322
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:254
Uitgever:Springer Berlin Heidelberg
Druk:1997

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          The Geometry of Ordinary Variational Equations