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Beschreibung
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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 27. November 1997 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 406 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540638322 |
| Seiten | 254 |
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