The Geometry of Ordinary Variational Equations

The Geometry of Ordinary Variational Equations
Author :
Publisher : Springer
Total Pages : 261
Release :
ISBN-10 : 9783540696575
ISBN-13 : 3540696571
Rating : 4/5 (571 Downloads)

Book Synopsis The Geometry of Ordinary Variational Equations by : Olga Krupkova

Download or read book The Geometry of Ordinary Variational Equations written by Olga Krupkova and published by Springer. This book was released on 2006-11-14 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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