Ordinary differential equations : basics and beyond /

Ordinary differential equations : basics and beyond /

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Bibliographic Details
Author / Creator:	Schaeffer, David G., author.
Imprint:	New York, NY : Springer, 2016.
Description:	1 online resource (xxx, 542 pages) : illustrations (some color)
Language:	English
Series:	Texts in applied mathematics, 0939-2475 ; volume 65 Texts in applied mathematics ; v. 65.
Subject:	Differential equations. Differential equations.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11269208

Hidden Bibliographic Details
Other authors / contributors:	Cain, John W., author.
ISBN:	9781493963898 1493963899 1493963872 9781493963874
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed November 21, 2016).
Summary:	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).
Other form:	Print version: 9781493963874
Standard no.:	10.1007/978-1-4939-6389-8

Description
Summary:	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. <br> 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). <br> 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). <br>
Physical Description:	1 online resource (xxx, 542 pages) : illustrations (some color)
Bibliography:	Includes bibliographical references and index.
ISBN:	9781493963898 1493963899 1493963872 9781493963874
ISSN:	0939-2475 ;