The Geometry of Ordinary Variational Equations (Lecture Notes in Mathematics, 1678, Band 1678) - Softcover

Krupková, Olga

 
9783540638322: The Geometry of Ordinary Variational Equations (Lecture Notes in Mathematics, 1678, Band 1678)
Softcover
ISBN 10: 3540638326 ISBN 13: 9783540638322
Verlag: Springer, 2009

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540638326
ISBN 13 
9783540638322
Einband
Taschenbuch
Anzahl der Seiten
264
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