| 书目名称 | Ordinary Differential Equations: Basics and Beyond |
| 编辑 | David G. Schaeffer,John W. Cain |
| 视频video | |
| 概述 | Includes ample commentary on exercises to help explain their significance and provide a deeper understanding of content.Detailed appendices gives readers self-study opportunities.Supports practical us |
| 丛书名称 | Texts in Applied Mathematics |
| 图书封面 |  |
| 描述 | This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. .A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting thetext (www.math.duke.edu/ode-book). .Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate f |
| 出版日期 | Textbook 2016 |
| 关键词 | Ordinary Differential Equations; Dynamical Sysems; Bifurcation Theory; Linear Systems; Nonlinear Systems |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4939-6389-8 |
| isbn_softcover | 978-1-4939-8184-7 |
| isbn_ebook | 978-1-4939-6389-8Series ISSN 0939-2475 Series E-ISSN 2196-9949 |
| issn_series | 0939-2475 |
| copyright | Springer Science+Business Media New York 2016 |
发表于 2025-3-21 19:52:48
