Elementary Differential Equations / Edition 10

by Boyce

Overview

Retaining the same general organizational structure as its popular predecessors, this edition combines a sound and accurate exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation which have proved useful in a wide variety of applications. This updated text includes nearly 300 new problems, many of which assume the availability of computers; an expanded discussion of error control and stability; numerous new and revised problems and examples that investigate the manner in which a solution depends on one or more parameters; and greater emphasis on visualization.

Product Details

ISBN-13:	2900470458326
Publisher:	Wiley
Publication date:	10/02/2012
Edition description:	New Edition
Pages:	672
Product dimensions:	8.30(w) x 10.10(h) x 1.00(d)

About the Author

Dr. Boyce received his B.A. degree in Mathematics from Rhodes College, and his M.S. and Ph.D. degrees in Mathematics from Carnegie-Mellon University. He is a member of the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. He is currently the Edward P. Hamilton Distinguished Professor Emeritus of Science Education (Department of Mathematical Sciences) at Rensselaer. He is the author of numerous technical papers in boundary value problems and random differential equations and their applications. He is the author of several textbooks including two differential equations texts. In 1991 he received the William H.Wiley Distinguished Faculty Award given by Rensselaer.

Table of Contents

First Order Differential Equations.
Second Order Linear Equations.
Higher Order Linear Equations.
Series Solutions of Second Order Linear Equations.
The Laplace Transform.
Systems of First Order Linear Equations.
Numerical Methods.
Nonlinear Differential Equations and Stability.
Answers to Problems.
Index.

Editorial Reviews

To accommodate the changing learning environment, this edition takes a more visual, quantitative, project, and example-oriented approach for undergraduate students in mathematics, science, or engineering whose interest in differential equations ranges from the totally theoretical to the diehard practical. Other changes include an introduction to mathematical modeling, direction fields, the basic ideas of stability and instability, and Euler's method of numerical approximation. Coverage includes first-, second-, and higher-order linear and nonlinear equations; the Laplace transform; and numerical methods. Includes chapter problems and appended answers. Boyce is professor emeritus, and DiPrima is a professor, respectively, in the department of mathematical sciences at Rensselaer Polytechnic Institute in Troy, New York. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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