Overview
- Focuses on key tools to understand delay equations
- Begins with a survey of mathematical models involving delay equations
- Wealth of examples, exercises and illustrations
- Includes supplementary material: sn.pub/extras
Part of the book series: Texts in Applied Mathematics (TAM, volume 57)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly.
The author has used preliminary notes in teaching such a course at Arizona State University over the past two years.
This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.
Similar content being viewed by others
Keywords
Table of contents (8 chapters)
Reviews
From the reviews:
“This text is designed to be an introduction to the theory of differential equations with delay for advanced undergraduates and beginning graduate students.” (William J. Satzer, The Mathematical Association of America, November, 2010)
“This textbook would serve as an excellent reference text to help a mathematics faculty develop an introductory mathematics course on DDEs … . This textbook clearly places the study of DDEs firmly within the standard curriculum of a graduate program in mathematics and well within the scope of a strong final-year undergraduate mathematics major. … this text will have a positive impact on biomathematics education and be a welcome addition. We certainly find it so.” (John G. Milton and Michael C. Mackey, Mathematical Reviews, Issue 2011 k)
“This book gives a first introduction to delay differential equations that is intended for mathematics students. Thanks to the emphasis on applications to life sciences, it can be recommended also to scientists from this discipline that wish to get a deeper understanding of the theoretical aspects for this widely used class of models.” (Matthias Wolfrum, Zentralblatt MATH, Vol. 1227, 2012)
Authors and Affiliations
About the author
Hal Smith is a Professor at the School of Mathematical and Statistical Sciences at Arizona State University.
Bibliographic Information
Book Title: An Introduction to Delay Differential Equations with Applications to the Life Sciences
Authors: Hal Smith
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-1-4419-7646-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4419-7645-1Published: 06 October 2010
Softcover ISBN: 978-1-4614-2697-4Published: 01 December 2012
eBook ISBN: 978-1-4419-7646-8Published: 29 September 2010
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XI, 172
Topics: Partial Differential Equations, Mathematical and Computational Biology, Applications of Mathematics