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The Geometry of Ordinary Variational Equations

Posted on 2010-03-16




Name:The Geometry of Ordinary Variational Equations
ASIN/ISBN:3540638326
Language:English
File size:10.2 Mb
Publisher: Springer
ISBN: 3540638326
Publish Date: edition 1997
File Type: PDF
Pages: 251 pages
File Size: 10,2 mb
   The Geometry of Ordinary Variational Equations

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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.

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The Geometry of Ordinary Variational Equations (Repost)

The Geometry of Ordinary Variational Equations (Repost)

The Geometry of Ordinary Variational Equations Publisher: Springer | ISBN: 3540638326 | edition 1997 | PDF | 251 pages | 10,2 mbThe book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-or ...

The Geometry of Ordinary Variational Equations (Lecture Notes in Mathematics)

The Geometry of Ordinary Variational Equations (Lecture Notes in Mathematics)

Author: Olga KrupkovaPublisher: Springer (1997)Binding: Paperback, 251 pagespricer: $50.00ISBN-10: 3540638326editorialreviewsThe book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order ...

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