| 书目名称 | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |
| 编辑 | Kenneth R. Meyer,Glen R. Hall |
| 视频video | |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | The theory of Hamiltonian systems is a vast subject which can be studied from many different viewpoints. This book develops the basic theory of Hamiltonian differential equations from a dynamical systems point of view. That is, the solutions of the differential equations are thought of as curves in a phase space and it is the geometry of these curves that is the important object of study. The analytic underpinnings of the subject are developed in detail. The last chapter on twist maps has a more geometric flavor. It was written by Glen R. Hall. The main example developed in the text is the classical N-body problem, i.e., the Hamiltonian system of differential equations which describe the motion of N point masses moving under the influence of their mutual gravitational attraction. Many of the general concepts are applied to this example. But this is not a book about the N-body problem for its own sake. The N-body problem is a subject in its own right which would require a sizable volume of its own. Very few of the special results which only apply to the N-body problem are given. |
| 出版日期 | Book 19921st edition |
| 关键词 | Dynamical; Hamiltonian; Mathematics; N-Body Problem; differential equation |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4757-4073-8 |
| isbn_ebook | 978-1-4757-4073-8Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer Science+Business Media New York 1992 |
发表于 2025-3-21 19:27:58
