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Differential Equations and Their Applications

An Introduction to Applied Mathematics

  • Textbook
  • © 1975

Overview

Authors:
  1. Martin Braun

    1. Division of Applied Mathematics, Brown University, Providence, USA

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Part of the book series: Applied Mathematical Sciences (AMS, volume 15)

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Table of contents (5 chapters)

  1. Front Matter

    Pages N2-xiv
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  2. First Order Differential Equations

    • Martin Braun
    Pages 1-177

  3. Second Order Linear Differential Equations

    • Martin Braun
    Pages 178-350

  4. Systems of Differential Equations

    • Martin Braun
    Pages 351-492

  5. Qualitative Theory of Differential Equations

    • Martin Braun
    Pages 493-637

  6. Separation of Variables and Fourier Series

    • Martin Braun
    Pages 638-691

  7. Back Matter

    Pages 692-719
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Keywords

About this book

For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac­ tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap­ plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli­ cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen­ tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.

Authors and Affiliations

  • Division of Applied Mathematics, Brown University, Providence, USA

    Martin Braun

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