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Differential Equations and Their Applications

An Introduction to Applied Mathematics

  • Textbook
  • © 1993

Overview

Authors:
  1. Martin Braun

    1. Department of Mathematics, Queens College, City University of New York, Flushing, USA

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Part of the book series: Texts in Applied Mathematics (TAM, volume 11)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xvi
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  2. First-order differential equations

    • Martin Braun
    Pages 1-126

  3. Second-order linear differential equations

    • Martin Braun
    Pages 127-263

  4. Systems of differential equations

    • Martin Braun
    Pages 264-371

  5. Qualitative theory of differential equations

    • Martin Braun
    Pages 372-475

  6. Separation of variables and Fourier series

    • Martin Braun
    Pages 476-513

  7. Sturm-Liouville boundary value problems

    • Martin Braun
    Pages 514-544

  8. Back Matter

    Pages 545-579
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Keywords

About this book

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. 



Authors and Affiliations

  • Department of Mathematics, Queens College, City University of New York, Flushing, USA

    Martin Braun

About the author

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

Bibliographic Information

  • Book Title: Differential Equations and Their Applications

  • Book Subtitle: An Introduction to Applied Mathematics

  • Authors: Martin Braun

  • Series Title: Texts in Applied Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4360-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 1993

  • Hardcover ISBN: 978-0-387-97894-9Published: 05 December 1992

  • Softcover ISBN: 978-0-387-94330-5Published: 03 June 1994

  • eBook ISBN: 978-1-4612-4360-1Published: 27 November 2013

  • Series ISSN: 0939-2475

  • Series E-ISSN: 2196-9949

  • Edition Number: 4

  • Number of Pages: XVI, 578

  • Additional Information: Originally published as volume 15 of the series: Applied Mathematical Sciences

  • Topics: Analysis

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