Book description
The goal of this book is to encourage the teaching and learning of mathematical model building relatively early in the undergraduate program. The text introduces the student to a number of important mathematical topics and to a variety of models in the social sciences, life sciences, and humanities.
Table of contents
- Cover Page
- Title Page
- Dedication
- Copyright
- Contents
- Preface
- Acknowledgements
- CHAPTER 1: Mathematical Models
- CHAPTER 2: Stable and Unstable Arms Races
- CHAPTER 3: Ecological Models: Single Species
- CHAPTER 4: Ecological Models: Interacting Species
- CHAPTER 5: Tumor Growth Models
-
CHAPTER 6: Social Choice and Voting Procedures
- I. Three Voting Situations
- II. Two Voting Mechanisms
- III. An Axiomatic Approach
- IV. Arrow's Impossibility Theorem
- V. The Liberal Paradox and the Theorem of the Gloomy Alternatives
- VI. Instant Runoff Voting
- VII. Approval Voting
- VIII. Topological Social Choice
- IX. Historical and Biographical Notes
- EXERCISES
- SUGGESTED PROJECTS
- CHAPTER 7: Foundations of Measurement Theory
- CHAPTER 8: Introduction to Utility Theory
- CHAPTER 9: Equilibrium in an Exchange Economy
- CHAPTER 10: Elementary Probability
- CHAPTER 11: Markov Processes
- CHAPTER 12: Two Models of Cultural Stability
- CHAPTER 13: Paired-Associate Learning
- CHAPTER 14: Epidemics
- CHAPTER 15: Roulette Wheels and Hospital Beds: A Computer Simulation of Operating and Recovery Room Usage
- CHAPTER 16: Game Theory
- APPENDIX I: Sets
- APPENDIX II: Matrices
- APPENDIX III: Solving Systems of Equations
- APPENDIX IV: Functions of Two Variables
- APPENDIX V: Differential Equations
- Index
Product information
- Title: Mathematical Modeling in the Social and Life Sciences
- Author(s):
- Release date: May 2014
- Publisher(s): Wiley
- ISBN: 9781118642696
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