| 书目名称 | Symmetries and Differential Equations |
| 编辑 | George W. Bluman,Sukeyuki Kumei |
| 视频video | |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | A major portion of this book discusses work which has appeared since the publication of the book .Similarity . .Methods for Differential Equations., Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7. |
| 出版日期 | Book 19891st edition |
| 关键词 | calculus; differential equation; differential equations; lie groups; ordinary differential equation; part |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4757-4307-4 |
| isbn_ebook | 978-1-4757-4307-4Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer Science+Business Media New York 1989 |
发表于 2025-3-21 16:04:16
