Differential Equations and Their Applications

There are two major changes in the Fourth Edition of Differential Equations and Their Applications. The first concerns the computer programs in this text. In keeping with recent trends in computer science, we have replaced all the APL programs with Pascal and C programs. The Pascal programs appear in the text in place of the APL programs, where they are followed by the Fortran programs, while the C programs appear in Appendix C. 

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM).  

The development of new courses is a natural consequence of a high Ievel of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research Ievel monographs. 

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

About the author

Martin Braun is Professor of Differential Equations at Queen’s College, The City University of New York, USA.