| 书目名称 | The Geometry of Ordinary Variational Equations |
| 编辑 | Olga Krupková |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 1997 |
| 关键词 | Hamilton-Jacobi theory; Hamiltonian mechanics; Lagrangian mechanics; calculus; differential equation; dif |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0093438 |
| isbn_softcover | 978-3-540-63832-2 |
| isbn_ebook | 978-3-540-69657-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1997 |
发表于 2025-3-21 19:02:28
