Differential Equations and Their Applications: An Introduction to Applied Mathematics / Edition 4

by Martin Braun

Overview

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 frontieras 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.

Product Details

ISBN-13:	2900387978948
Publisher:	Springer New York
Publication date:	12/05/1992
Series:	Texts in Applied Mathematics
Edition description:	4th ed. 1993
Pages:	578
Product dimensions:	9.21(w) x 6.14(h) x 1.38(d)

About the Author

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

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

Editorial Reviews

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. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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