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.
Produkteigenschaften
- Artikelnummer: 9783540638322
- Medium: Buch
- ISBN: 978-3-540-63832-2
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 27.11.1997
- Sprache(n): Englisch
- Auflage: 1997
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 406 g
- Seiten: 254
- Format (B x H x T): 155 x 235 x 15 mm
- Ausgabetyp: Kein, Unbekannt