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Differential Equations and Their Applications

An Introduction to Applied Mathematics

  • Martin Braun

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

Table of contents

  1. Front Matter
    Pages N2-xiv
  2. Martin Braun
    Pages 1-177
  3. Martin Braun
    Pages 178-350
  4. Martin Braun
    Pages 351-492
  5. Martin Braun
    Pages 638-691
  6. Back Matter
    Pages 692-719

About this book

Introduction

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.

Keywords

Calc Division Equations Fourier series addition applied mathematics biology boundary element method calculus differential equation equation geology linear differential equation mathematics university

Authors and affiliations

  • Martin Braun
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4969-4
  • Copyright Information Springer-Verlag New York 1975
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90114-5
  • Online ISBN 978-1-4757-4969-4
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site
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