Differential Equations and Their Applications
An Introduction to Applied Mathematics
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ISBN-13:
9780387978949
Veröffentl:
1992
Einband:
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Erscheinungsdatum:
05.12.1992
Seiten:
602
Autor:
Martin Braun
Gewicht:
1060 g
Format:
241x160x38 mm
Serie:
11, Texts in Applied Mathematics
Sprache:
Englisch
Beschreibung:
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).
This is a best-selling introduction to differential equations, used in undergraduate classrooms across the country. Fully understandable to readers who have had one year of calculus, this book differentiates itself from other differential equations texts through its application of the subject matter to interesting scenarios. Highlights also include material on bifurcation theory, Sturm-Liouville boundary value problems and computer programs in C, Pascal and Fortran.
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
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