Overview
- Presents a thorough treatment of the standard topics in an accessible, easy-to-read, format
- Illuminates mathematical theory with a wide variety of applications, appealing to students in physics, engineering, the biosciences, economics and mathematics
- Provides many more exercises and worked examples in third edition
- Review with practice problems and Matlab(R) supplement included as Appendices
- Solutions to even-numbered exercises available on springer.com
- Includes supplementary material: sn.pub/extras
- Request lecturer material: sn.pub/lecturer-material
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (6 chapters)
Keywords
About this book
The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject.
This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB® supplement that gives basic codes and commands for solving differential equations. MATLAB® is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com.
Authors and Affiliations
About the author
J. David Logan is Willa Cather Professor of Mathematics at the University of Nebraska Lincoln. He received his PhD from The Ohio State University and has served on the faculties at the University of Arizona, Kansas State University, and Rensselaer Polytechnic Institute. For many years he served as a visiting scientist at Los Alamos and Lawrence Livermore National Laboratories. He has published widely in differential equations, mathematical physics, fluid and gas dynamics, hydrogeology, and mathematical biology. Dr. Logan has authored 7 books, among them Applied Partial Differential Equations, now in its 3rd edition, published by Springer.
Bibliographic Information
Book Title: A First Course in Differential Equations
Authors: J. David Logan
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-3-319-17852-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2015
Hardcover ISBN: 978-3-319-17851-6Published: 16 July 2015
Softcover ISBN: 978-3-319-33075-4Published: 15 October 2016
eBook ISBN: 978-3-319-17852-3Published: 01 July 2015
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 3
Number of Pages: XIII, 369
Number of Illustrations: 88 b/w illustrations, 13 illustrations in colour
Topics: Ordinary Differential Equations, Mathematical Modeling and Industrial Mathematics, Applications of Mathematics