Differential Equations and Their Applications - Martin Braun

Differential Equations and Their Applications

An Introduction to Applied Mathematics

(Autor)

Buch | Softcover
578 Seiten
1994 | Softcover reprint of the original 4th ed. 1993
Springer-Verlag New York Inc.
978-0-387-94330-5 (ISBN)
64,19 inkl. MwSt
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. 

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

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

Erscheinungsdatum
Reihe/Serie Texts in Applied Mathematics ; 11
Zusatzinfo XVI, 578 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte Bifurcation • Boundary value problem • Calculus • differential equation • Dynamical Systems • Fourier series
ISBN-10 0-387-94330-7 / 0387943307
ISBN-13 978-0-387-94330-5 / 9780387943305
Zustand Neuware
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