Authors:
- Concise treatment of elementary differential equations, based on a course taught by the author at University of Nebraska, Lincoln
- Encourages the use of computer algebra systems - includes Maple, Mathematica, and Matlab codes
- Includes numerous examples and exercises, along with solutions to selected exercises
- Includes supplementary material: sn.pub/extras
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"Logan has produced a well-crafted text, densely packed with interesting applications from diverse fields. The chapters cover (ordinary) differential equations, analytical solutions and approximations, second-order differential equations, Laplace transforms, linear and nonlinear systems. The material is well presented and introduces new concepts … . The text will certainly provide a good mental workout." (Christopher Howls, The Times Higher Education Supplement, November, 2006)
"This is a textbook for those who … want to learn some methods and techniques to handle mathematical models described by ordinary differential equations. … the book contains topics which are not included in other similar texts. … In addition, four appendices are added to complete the presentation … . The book is written in a pleasant and friendly style. It provides the reader with enough knowledge to engage with more advanced topics of differential equations … ." (Gheorghe Morosanu, Zentralblatt MATH, Vol. 1088 (14), 2006)
“This text book provides an introduction into ordinary differential equations on a post-calculus level. Its primary goal is a brief and concise … treatment of the basic ideas, models and solution methods. This goal is reached by a clever selection of the core material. The main text is written in an colloquial and friendly style and supplemented with many exercises and some appendices which among other things cover the use of computer algebra systems as well as solutions to selected exercises.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 154 (1), May, 2008)
Authors and Affiliations
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Department of Mathematics, University of Nebraska, Lincoln, USA
J. David Logan
About the author
J. David Logan is Professor of Mathematics at the University of Nebraska, Lincoln. He is the author of another recent undergraduate textbook, Applied Partial Differential Equations, 2nd Edition (Springer 2004).
Bibliographic Information
Book Title: A First Course in Differential Equations
Authors: J. David Logan
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/0-387-29930-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2006
Softcover ISBN: 978-0-387-25964-2Published: 13 August 2005
eBook ISBN: 978-0-387-29930-3Published: 20 May 2006
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 1
Number of Pages: XV, 290
Topics: Ordinary Differential Equations, Linear and Multilinear Algebras, Matrix Theory, Partial Differential Equations