Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Texts in Applied Mathematics (TAM, volume 65)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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 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).
Authors and Affiliations
About the authors
John W. Cain is Professor of Mathematics at Harvard University. His background is in application-oriented mathematics with interest in applications to medicine, biology, and biochemistry.
Bibliographic Information
Book Title: Ordinary Differential Equations: Basics and Beyond
Authors: David G. Schaeffer, John W. Cain
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-1-4939-6389-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2016
Hardcover ISBN: 978-1-4939-6387-4Published: 12 November 2016
Softcover ISBN: 978-1-4939-8184-7Published: 23 June 2018
eBook ISBN: 978-1-4939-6389-8Published: 10 November 2016
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XXX, 542
Number of Illustrations: 78 b/w illustrations, 61 illustrations in colour
Topics: Ordinary Differential Equations, Theoretical, Mathematical and Computational Physics, Dynamical Systems and Ergodic Theory