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Differential Equations and Their Applications
An Introduction to Applied Mathematics
Buch von Martin Braun
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Martin Braun is Professor of Differential Equations at Queen's College, The City University of New York, USA.
Zusammenfassung
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.
Inhaltsverzeichnis
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
Details
Erscheinungsjahr: 1992
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 602
Reihe: Texts in Applied Mathematics
Inhalt: xvi
578 S.
68 s/w Illustr.
68 s/w Zeichng.
ISBN-13: 9780387978949
ISBN-10: 0387978941
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Braun, Martin
Auflage: 4th ed. 1993
Hersteller: Springer US
Springer New York
Texts in Applied Mathematics
Maße: 241 x 160 x 38 mm
Von/Mit: Martin Braun
Erscheinungsdatum: 05.12.1992
Gewicht: 1,06 kg
preigu-id: 101266550
Über den Autor
Martin Braun is Professor of Differential Equations at Queen's College, The City University of New York, USA.
Zusammenfassung
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.
Inhaltsverzeichnis
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
Details
Erscheinungsjahr: 1992
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 602
Reihe: Texts in Applied Mathematics
Inhalt: xvi
578 S.
68 s/w Illustr.
68 s/w Zeichng.
ISBN-13: 9780387978949
ISBN-10: 0387978941
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Braun, Martin
Auflage: 4th ed. 1993
Hersteller: Springer US
Springer New York
Texts in Applied Mathematics
Maße: 241 x 160 x 38 mm
Von/Mit: Martin Braun
Erscheinungsdatum: 05.12.1992
Gewicht: 1,06 kg
preigu-id: 101266550
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