書目名稱 | The Geometry of Ordinary Variational Equations |
編輯 | Olga Krupková |
視頻video | http://file.papertrans.cn/911/910539/910539.mp4 |
叢書名稱 | Lecture Notes in Mathematics |
圖書封面 |  |
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 |
關(guān)鍵詞 | 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 |