The Geometry of Ordinary Variational Equations [electronic resource] /

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.

Bibliographic Details

Main Authors:	Krupková, Olga. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997
Subjects:	Mathematics., Mathematical analysis., Analysis (Mathematics)., Global analysis (Mathematics)., Manifolds (Mathematics)., Differential geometry., Mechanics., Mechanics, Applied., Analysis., Differential Geometry., Global Analysis and Analysis on Manifolds., Theoretical and Applied Mechanics.,
Online Access:	http://dx.doi.org/10.1007/BFb0093438
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