"...this book is the most attractive, motivated, and well-written work of its kind known to me...The mathematical
content of the book is sufficiently rigorous and diverse to satisfy the needs of aspiring mathematicians, scientists,
and engineers. The book may have an important impact on the teaching of differential equations at the introductory
level."
--American Scientist
Random House, Inc. Web Site, January, 2004
Summary
The 4th edition of this text distinguishes itself from other differential equation texts by incorporating recent
developments and offering applications to fascinating events such as the Tacoma Narrows Bridge disaster, why the
catch of predator fish in Fiume, Italy rose dramatically during World War I, and proof that the painting "Disciples
at Emmaus" was a modern forgery. An introduction to bifurcation theory, computer programs in C, Pascal, and
Fortran, and many examples and problems (with odd numbered ones answered) are included.
Table of Contents
Chapter 1 First-order differential equations
Chapter 2 Second-order linear differential equations
Chapter 3 Systems of differential equations
Chapter 4 Qualitative theory of differential equations
Chapter 5 Separation of variables and Fourier series
Chapter 6 Sturm-Liouville boundary value problems
Appendix A Some simple facts concerning functions of several variables
Appendix B Sequences and series
Appendix C C Programs
Answers to odd-numbered exercises
Index
