© 1983

Discrete and System Models

  • William F. Lucas
  • Fred S. Roberts
  • Robert M. Thrall

Part of the Modules in Applied Mathematics book series

Table of contents

  1. Front Matter
    Pages i-xx
  2. James C. Frauenthal, Thomas L. Saaty
    Pages 1-22
  3. Robert L. Baker
    Pages 23-38
  4. Osvaldo Marrero
    Pages 39-45
  5. Donald Greenspan
    Pages 46-55
  6. A. C. Tucker, L. Bodin
    Pages 76-111
  7. Ronald E. Prather
    Pages 112-139
  8. Elmor L. Peterson
    Pages 165-203
  9. Robert J. Weber
    Pages 254-278

About this book


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 be covered in one class, are included in most chapters. Some units can 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.


Combinatorics Mathematica Volume class differential equation equation graph mathematics network networks partial differential equation presentation review system time

Editors and affiliations

  • William F. Lucas
    • 1
  • Fred S. Roberts
    • 2
  • Robert M. Thrall
    • 3
  1. 1.School of Operations ResearchCornell UniversityIthacaUSA
  2. 2.Department of MathematicsRutgers UniversityNew BrunswickUSA
  3. 3.Department of Mathematical SciencesRice UniversityHoustonUSA

Bibliographic information