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Political and Related Models

  • Steven J. Brams
  • William F. Lucas
  • Philip D. StraffinJr.

Part of the Modules in Applied Mathematics book series (MAM)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Maynard Thompson
    Pages 1-18
  3. Edward Bolger
    Pages 19-31
  4. Steven J. Brams
    Pages 32-65
  5. William F. Lucas, Louis J. Billera
    Pages 66-97
  6. James P. Heaney
    Pages 98-108
  7. Robert M. Thrall, E. L. Perry
    Pages 109-136
  8. William F. Lucas
    Pages 183-238
  9. Philip D. Straffin Jr.
    Pages 256-321
  10. Peter Rice
    Pages 322-339
  11. William F. Lucas
    Pages 358-396

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 modern 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

Applied Mathematics Gruppenentscheidung Wahl algebra calculus decision making equation game theory mathematics modeling statistics theorem

Editors and affiliations

  • Steven J. Brams
    • 1
  • William F. Lucas
    • 2
  • Philip D. StraffinJr.
    • 3
  1. 1.Department of PoliticsNew York UniversityNew YorkUSA
  2. 2.School of Operations ResearchCornell UniversityIthacaUSA
  3. 3.Department of MathematicsBeloit CollegeBeloitUSA

Bibliographic information