The Sixth Edition of this widely adopted book remains the same classic differential equations text it's always been, but has been polished and sharpened to serve both instructors and students even more effectively. Edwards and Penney teach students to first solve those differential equations that have the most frequent and interesting applications. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques.
Features
1.Proven chapter and section structure of the book is unchanged
2.A solid numerical emphasis
3.Wide range of choices regarding breadth and depth of coverage
4. Computer-generated figures
5.Application Modules
6.Instructor's Solutions Manual
7.Student Solutions Manual
About the Author
C. Henry Edwards is emeritus professor of mathematics at the University of Georgia. He earned his Ph.D. at the University of Tennessee in 1960, and recently retired after 40 years of classroom teaching at the universities of Tennessee, Wisconsin, and Georgia, with a brief interlude at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. He has received numerous teaching awards.David E. Penney, University of Georgia, completed his Ph.D. at Tulane University in 1965 (under the direction of Prof. L. Bruce Treybig) while teaching at the University of New Orleans. Earlier he had worked in experimental biophysics at Tulane University and the Veteran's Administration Hospital in New Orleans under the direction of Robert Dixon McAfee, where Dr. McAfee's research team's primary focus was on the active transport of sodium ions by biological membranes.
Table of Contents:
1 First-Order Differential Equations
2 Linear Equations of Higher Order
3 Power Series Methods
4 Laplace Transform Methods
5 Linear Systems of Differential Equations
6 Numerical Methods
7 Nonlinear Systems and Phenomena
8 Fourier Series Methods
9 Eigenvalues and Boundary Value Problems
References for Further Study
Appendix: Existence and Uniqueness of Solutions
Answers to Selected Problems
Index I-1
