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Lecture Notes in Mathematics

The Geometry of Ordinary Variational Equations

Authors: Krupkova, Olga

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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-540-69657-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-540-63832-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Geometry of Ordinary Variational Equations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1678
Copyright
1997
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69657-5
DOI
10.1007/BFb0093438
Softcover ISBN
978-3-540-63832-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
CCLXIV, 254
Topics

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