The Geometry of Ordinary Variational Equations

von Olga Krupkova

254 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540638322
• Sprache: Englisch
• Erscheinungsdatum: 27.11.1997
• Genre: Mathematik/Analysis
• Verlag: Springer Berlin