The Geometry of Ordinary Variational Equations is popular PDF and ePub book, written by Olga Krupkova in 2006-11-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Geometry of Ordinary Variational Equations can be Read Online from any device for your convenience.
The Geometry of Ordinary Variational Equations Book PDF Summary
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.
Detail Book of The Geometry of Ordinary Variational Equations PDF
- Author : Olga Krupkova
- Release : 14 November 2006
- Publisher : Springer
- ISBN : 9783540696575
- Genre : Mathematics
- Total Page : 261 pages
- Language : English
- PDF File Size : 13,6 Mb
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