A First Course in Differential Equations

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Cengage Learning, May 14, 2008 - Mathematics - 432 pages
6 Reviews
A First Course in Differential Equations with Modeling Applications, 9th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.
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Text is extremely compact, great if you already have a general knowledge of what your learning.. except this is the introductory text. Would've been nice to have a few worked out problems in context in the initial chapter.

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The best quality of this book is the way it progresses from section to section; each section connects to the next in a very intuitively satisfying way. The down side of the book is that some of the concepts and example problems really are more difficult to follow than you would expect from a book titled "A First Course in Differential Equations." Overall I think that this book presents topics in such a way that you actually want to read over the material in the next section before putting the book down, which is really impressive for a mathematics text. I began to read this book (an earlier edition) before even taking a differential equations course and fell in love with the mathematics, but I am a bit of a nerd. 

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Contents

INTRODUCTION TO DIFFERENTIAL EQUATIONS
1
FIRSTORDER DIFFERENTIAL EQUATIONS
34
MODELING WITH FIRSTORDER DIFFERENTIAL EQUATIONS
82
HIGHERORDER DIFFERENTIAL EQUATIONS
117
MODELING WITH HIGHERORDER DIFFERENTIAL EQUATIONS
181
SERIES SOLUTIONS OF LINEAR EQUATIONS
219
THE LAPLACE TRANSFORM
255
SYSTEMS OF LINEAR FIRSTORDER DIFFERENTIAL EQUATIONS
303
NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
339
GAMMA FUNCTION
363
MATRICES
365
LAPLACE TRANSFORMS
383
ANSWERS FOR SELECTED ODDNUMBERED PROBLEMS
387
INDEX
403
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About the author (2008)

Dennis G. Zill is professor of mathematics at Loyola Marymount University. His interests are in applied mathematics, special functions, and integral transforms. Dr. Zill received his Ph.D. in applied mathematics and his M.S. from Iowa State University in 1967 and 1964, respectively. He received his B.A. from St. Mary's in Winona, Minnesota, in 1962. Dr. Zill also is former chair of the Mathematics Department at Loyola Marymount University. He is the author or co-author of 13 mathematics texts.

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