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More copies of this ISBNIntroduction to Mathematical Sociologyby Phillip Bonacich
Synopses & ReviewsPublisher Comments:Mathematical models and computer simulations of complex social systems have become everyday tools in sociology. Yet until now, students had no uptodate textbook from which to learn these techniques. Introduction to Mathematical Sociology fills this gap, providing undergraduates with a comprehensive, selfcontained primer on the mathematical tools and applications that sociologists use to understand social behavior.
Phillip Bonacich and Philip Lu cover all the essential mathematics, including linear algebra, graph theory, set theory, game theory, and probability. They show how to apply these mathematical tools to demography; patterns of power, influence, and friendship in social networks; Markov chains; the evolution and stability of cooperation in human groups; chaotic and complex systems; and more.
Introduction to Mathematical Sociology also features numerous exercises throughout, and is accompanied by easytouse Mathematicabased computer simulations that students can use to examine the effects of changing parameters on model behavior.
Synopsis:"A firstrate introduction. The coverage is exemplary, starting with basic math techniques and progressing to models that incorporate a number of these techniques. Chapters on evolutionary game theory, cooperative games, and chaos are significantly innovative, as is the incorporation of simulations. This book brings mathematics to life for students who may entertain doubts about the role of math in sociology."Peter Abell, professor emeritus, London School of Economics and Political Science
"This book provides a concise and uptodate introduction to mathematical sociology and social network analysis. It presents a solid platform for engaging undergraduates in mathematical approaches to sociological inquiry, and includes Mathematica modules with which students can explore the properties and implications of a variety of formal models. I plan on using it in my courses on social networks."Noah E. Friedkin, coauthor of Social Influence Network Theory: A Sociological Examination of Small Group Dynamics Synopsis:Mathematical models and computer simulations of complex social systems have become everyday tools in sociology. Yet until now, students had no uptodate textbook from which to learn these techniques. Introduction to Mathematical Sociology fills this gap, providing undergraduates with a comprehensive, selfcontained primer on the mathematical tools and applications that sociologists use to understand social behavior.
Phillip Bonacich and Philip Lu cover all the essential mathematics, including linear algebra, graph theory, set theory, game theory, and probability. They show how to apply these mathematical tools to demography; patterns of power, influence, and friendship in social networks; Markov chains; the evolution and stability of cooperation in human groups; chaotic and complex systems; and more. Introduction to Mathematical Sociology also features numerous exercises throughout, and is accompanied by easytouse Mathematicabased computer simulations that students can use to examine the effects of changing parameters on model behavior.
About the AuthorPhillip Bonacich is professor emeritus of sociology at the University of California, Los Angeles. Philip Lu is a PhD candidate in sociology at UCLA.
Table of ContentsList of Figures ix
List of Tables xiii Preface xv Chapter 1. Introduction 1 Chapter 2. Set Theory and Mathematical Truth 12 Chapter 3. Probability: Pure and Applied 25 Chapter 4. Relations and Functions 38 Chapter 5. Networks and Graphs 53 Chapter 6. Weak Ties 61 Chapter 7. Vectors and Matrices 67 Chapter 8. Adding and Multiplying Matrices 74 Chapter 9. Cliques and Other Groups 84 Chapter 10. Centrality 89 Chapter 11. SmallWorld Networks 102 Chapter 12. ScaleFree Networks 117 Chapter 13. Balance Theory 137 Chapter 15. Demography 161 Chapter 16. Evolutionary Game Theory 180 Chapter 17. Power and Cooperative Games 190 Chapter 18. Complexity and Chaos 202 Afterword: "Resistance Is Futile" 213 What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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