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Differential Equation Models

  • Martin Braun
  • Courtney S. Coleman
  • Donald A. Drew

Part of the Modules in Applied Mathematics book series

Table of contents

  1. Front Matter
    Pages i-xix
  2. Differential Equations, Models, and What to do with Them

  3. Growth and Decay Models: First-Order Differential Equations

    1. Front Matter
      Pages 69-69
    2. Martin Braun
      Pages 71-80
    3. Martin Braun
      Pages 81-90
    4. Martin Braun
      Pages 91-97
  4. Higher Order Linear Models

    1. Front Matter
      Pages 99-99
    2. Martin Braun
      Pages 101-108
    3. Courtney S. Coleman
      Pages 109-131
  5. Traffic Models

    1. Front Matter
      Pages 155-155
    2. Donald A. Drew
      Pages 157-161
    3. Robert L. Baker Jr.
      Pages 168-197
    4. Donald A. Drew
      Pages 198-206
    5. Donald A. Drew
      Pages 207-217
  6. Interacting Species: Steady States of Nonlinear Systems

  7. Models Leading to Partial Differential Equations

    1. Front Matter
      Pages 299-299
    2. Donald A. Drew
      Pages 301-309
    3. Robert L. Borrelli
      Pages 310-329
    4. Gunter H. Meyer
      Pages 330-351
    5. T. A. Porsching
      Pages 352-380

About this book

Introduction

The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modem mathematics is actually employed to solve relevant contemporary problems. Although these independent chapters were prepared primarily for teachers in the general mathematical sciences, they should prove valuable to students, teachers, and research scientists in many of the fields of application as well. Prerequisites for each chapter and suggestions for the teacher are provided. Several of these chapters have been tested in a variety of classroom settings, and all have undergone extensive peer review and revision. Illustrations and exercises are included in most chapters. Some units can be covered in one class, whereas others provide sufficient material for a few weeks of class time. Volume 1 contains 23 chapters and deals with differential equations and, in the last four chapters, problems leading to partial differential equations. Applications are taken from medicine, biology, traffic systems and several other fields. The 14 chapters in Volume 2 are devoted mostly to problems arising in political science, but they also address questions appearing in sociology and ecology. Topics covered include voting systems, weighted voting, proportional representation, coalitional values, and committees. The 14 chapters in Volume 3 emphasize discrete mathematical methods such as those which arise in graph theory, combinatorics, and networks.

Keywords

Differentialgleichung Mathematics Modules calculus differential equation

Editors and affiliations

  • Martin Braun
    • 1
  • Courtney S. Coleman
    • 2
  • Donald A. Drew
    • 3
  1. 1.Department of MathematicsQueens CollegeFlushingUSA
  2. 2.Department of MathematicsHarvey Mudd CollegeClaremontUSA
  3. 3.Department of Mathematical SciencesRensselaer Polytechnic InstituteTroyUSA

Bibliographic information