发帖
雷达卡
Authors: David G. Schaeffer, John W. Cain
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 uses of subject matter and broader scientific awareness
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 the text.
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 for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).
Table of contents
Front Matter
Pages i-xxx
Introduction
Pages 1-39
Linear Systems with Constant Coefficients
Pages 41-78
Nonlinear Systems: Local Theory
Pages 79-109
Nonlinear Systems: Global Theory
Pages 111-160
Nondimensionalization and Scaling
Pages 161-194
Trajectories Near Equilibria
Pages 195-258
Oscillations in ODEs
Pages 259-325
Bifurcation from Equilibria
Pages 327-401
Examples of Global Bifurcation
Pages 403-450
Epilogue
Pages 451-486
Back Matter
Pages 487-542
原版 PDF + EPUB:
本帖隐藏的内容
原版 PDF:
Ordinary Differential Equations_Basics and Beyond.pdf
(10.8 MB, 需要: 20 个论坛币)
EPUB:
Ordinary Differential Equations_Basics and Beyond.epub
(6.15 MB, 需要: 20 个论坛币)
PDF + EPUB 压缩包：
Ordinary Differential Equations_Basics and Beyond.zip
(12.66 MB, 需要: 40 个论坛币)
本附件包括：- Ordinary Differential Equations_Basics and Beyond.pdf
- Ordinary Differential Equations_Basics and Beyond.epub
如果你喜欢我分享的书籍，请关注我：https://bbs.pinggu.org/z_guanzhu.php?action=add&fuid=5975757
订阅我的文库：【金融 + 经济 + 商学 + 国际政治】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3257
【数学 + 统计 + 计算机编程】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3258
【历史 + 心理学 + 社会自然科学】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3259
京公网安备 11010802022788号
