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The geometry of ordinary variational equations / Olga Krupkova
- 作者： Krupkova Olga.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： Berlin ;New York : Springer-Verlag c1997
- 叢書名： Lecture notes in mathematics ;1678
- 主題： Calculus of variations. , Differential equations , Hamiltonian systems.
- ISBN： 9783540638322 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005166741 | 機讀編目格式
館藏資訊
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.
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