| 书目名称 | Symmetry and Integration Methods for Differential Equations |
| 编辑 | George W. Bluman,Stephen C. Anco |
| 视频video | |
| 概述 | Bluman was the first modern mathematician in the West to seriously investigate the applications of Lie Groups to differential equations and remains a well-recognized authority on the subject.Includes |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; reprinted with corrections, 1996), by George W. Bluman and Sukeyuki Kumei. Since 1989 there have been considerable developments in symmetry methods (group methods) for differential equations as evidenced by the number of research papers, books, and new symbolic manipulation software devoted to the subject. This is, no doubt, due to the inherent applicability of the methods to nonlinear differential equations. Symmetry methods for differential equations, originally developed by Sophus Lie in the latter half of the nineteenth century, are highly algorithmic and hence amenable to symbolic computation. These methods systematically unify and extend well-known ad hoc techniques to construct explicit solutions for differential equations, especially for nonlinear differential equations. Often ingenious tricks for solving particular differential equations arise transparently from the symmetry point of view, and thus it remains somewhat surprising that symmetry methods are not more widely known. Nowadays it is essential to learn the methods presented in this book to understand existin |
| 出版日期 | Book 2002Latest edition |
| 关键词 | Potential; algorithms; calculus; differential equation; differential equations; lie groups; ordinary diffe |
| 版次 | 2 |
| doi | https://doi.org/10.1007/b97380 |
| isbn_softcover | 978-1-4419-3147-4 |
| isbn_ebook | 978-0-387-21649-2Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer Science+Business Media New York 2002 |
发表于 2025-3-21 17:40:08
