Overview
- Effectively organizes the subject into easily manageable sections in the form of 42 class-tested lectures
- Provides a theoretical treatment by organizing the material around theorems and proofs
- Uses detailed examples to drive the presentation
- Includes numerous exercise sets that encourage pursuing extensions of the material, each with an "answers or hints" section
- Covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics
- Provides excellent grounding and inspiration for future research contributions to the field of ODEs and related areas
Part of the book series: Universitext (UTX)
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Table of contents (42 chapters)
Reviews
From the reviews:
"Presents a thorough treatment of the classical material traditionally covered in an advanced book on ordinary differential equations, including a number of interesting historical notes. … The authors also discuss Lyapunov functions, Green’s functions comparison and separation theorems, maximum principle, Sturm-Liouville problems, Fredholm alternative, and Floquet theory. In addition, the book addresses results by Perron, Kamke, Osgood, Nagumo, Krasnoselski-Krein, and Van Kampen which are not found in some similar works. … Summing Up: Recommended. Upper-division undergraduates, graduate students, researchers, and faculty." (J. D. Fehribach, Choice, Vol. 46 (8), April, 2009)
"The textbook is devoted to a systematic and rigorous introduction to the theory of ordinary differential equations. … the practical part include numerous exercises with answers or hints. Written by two prolific leaders in the field of ordinary differential equations and nonlinear analysis, the textbook provides a very clear, well-organized and lucid introduction to ordinary differential equations, with an implicit orientation towards the most recent research topics and methods in the field and related areas." (Radu Precup, Zentralblatt MATH, Vol. 1158, 2009)
“This text book provides an excellent introduction to the subject accessible to second-year undergraduate or graduate-level students. Its structure in the form of a succession of 42 class-tested lectures makes it not only an inspiring source for self-study but gives also a good framework for the organization of course material. … a highly recommendable book for students in mathematics, sciences, or engineering as well as for teachers on college and university level.” (G. Hörmann, Monatshefte für Mathematik, Vol. 159 (4), March, 2010)
Authors and Affiliations
Bibliographic Information
Book Title: An Introduction to Ordinary Differential Equations
Authors: Ravi P. Agarwal, Donal O'Regan
Series Title: Universitext
DOI: https://doi.org/10.1007/978-0-387-71276-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Softcover ISBN: 978-0-387-71275-8Published: 29 July 2008
eBook ISBN: 978-0-387-71276-5Published: 10 December 2008
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XII, 322
Number of Illustrations: 8 b/w illustrations
Topics: Ordinary Differential Equations, Partial Differential Equations, Mathematical and Computational Engineering