A First Course in Differential Equations / Edition 1

A First Course in Differential Equations / Edition 1

by David Logan
     
 

"This text is designed for the standard post-calculus course in elementary differential equations. It is a brief one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches and is written… See more details below

Overview

"This text is designed for the standard post-calculus course in elementary differential equations. It is a brief one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics." Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is provided, and an appendix contains templates of Maple and MATLAB commands and programs that are useful in differential equations.

Product Details

ISBN-13:
9780387259642
Publisher:
Springer New York
Publication date:
12/28/2005
Series:
Undergraduate Texts in Mathematics Series
Edition description:
2006
Pages:
290
Product dimensions:
6.90(w) x 9.10(h) x 0.60(d)

Meet the Author

J. David Logan is Willa Cather Professor of Mathematics at the University of Nebraska Lincoln. His extensive research is in the areas of theoretical ecology, hydrogeology, combustion, mathematical physics, and partial differential equations. He is the author of six textbooks on applied mathematics and its applications, including Applied Partial Differential Equations, 2nd edition (Springer 2004) and Transport Modeling in Hydrogeochemical Systems (Springer 2001).

Table of Contents

1Differential equations and models1
2Analytic solutions and approximations55
3Second-order differential equations83
4Laplace transforms133
5Linear systems159
6Nonlinear systems209

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