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Differential Equations: An Introduction to Modern Methods and Applications / Edition 1

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Overview

Written by one of the most well known names in mathematics, this book provides readers with a more modern approach to differential equations. It is streamlined for easier readability while incorporating the latest topics and technologies. The modeling- and technology-intensive format allows readers who may normally struggle with learning the subject to feel confident. It also incorporates numerous exercises that have been developed and tested over decades.
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Product Details

  • ISBN-13: 9780471651413
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 12/6/2006
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 704
  • Product dimensions: 8.10 (w) x 10.00 (h) x 1.20 (d)

Meet the Author

William E. 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, and is the coauthor (with M.H. Holmes, J.G. Ecker, andW.L. Siegmann) of a text on using Maple to explore Calculus. He is also coauthor (with R.L. Borrelli and C.S. Coleman) of Differential Equations LaboratoryWorkbook (Wiley 1992), which received the EDUCOMBest Mathematics Curricular InnovationAward in 1993. Professor Boyce was a member of the NSF-sponsored CODEE (Consortium for Ordinary Differential Equations Experiments) that led to the widely-acclaimed ODE Architect. He has also been active in curriculum innovation and reform. Among other things, he was the initiator of the "Computers in Calculus" project at Rensselaer, partially supported by the NSF. In 1991 he received the William H.Wiley Distinguished FacultyAward given by Rensselaer.
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Table of Contents

Chapter 1: Introduction

Chapter 2: First Order Differential Equations

Chapter 3: Systems of Two First Order Equations

Chapter 4: Second Order Linear Equations

Chapter 5: The LaPlace Transform

Chapter 6: Systems of First Order Linear Equations

Chapter 7: Nonlinear Differential Equations and Stability

Chapter 8: Numerical methods

Chapter 9: Series Solutions of Second order Equations

Chapter 10: Orthogonal Functions, Fourier Series and Boundary-Value Problems

Chapter 11: Elementary Partial Differential Equations

A: Matrices and Linear Algebra

B: Complex Variables

Answers to Selected Problems

References

Index

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  • Anonymous

    Posted September 7, 2007

    Easy transition to Differential Equations.

    This is a great text for anyone majoring in the sciences, engineering, or math. It's lucidly written, and it can be used before taking linear algebra... even though usually you're asked to take linear algebra before taking a differential equations course. There are projects at the end of the chapter, hence 'Modern Methods & Applications', which are a bit challenging. But hey, it's only going to prepare you for your field once you're out in the work force. Overall I highly recommend this fine written textbook.

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  • Anonymous

    Posted May 19, 2010

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