9783540638322
The Geometry Of Ordinary Variational Equations (Lecture Notes In Mathematics) - Olga Krupkova
Springer (1997)
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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.

Product Details
LoC Classification QA3.L28 no. 1678
Dewey 515.353
Format Paperback
Cover Price 59,55 €
No. of Pages 251
Height x Width 229 x 155 mm
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