Introduction to Mathematical Sociology /
Bonacich, Phillip
Introduction to Mathematical Sociology / Phillip Bonacich, Philip Lu. - 1 online resource (240 p.) : 25 halftones. 58 line illus. 30 tables.
Frontmatter -- CONTENTS -- List of Figures -- List of Tables -- Preface -- 1. Introduction -- 2. Set Theory and Mathematical Truth -- 3. Probability: Pure and Applied -- 4. Relations and Functions -- 5. Networks and Graphs -- 6. Weak Ties -- 7. Vectors and Matrices -- 8. Adding and Multiplying Matrices -- 9. Cliques and Other Groups -- 10. Centrality -- 11. Small-World Networks -- 12. Scale-Free Networks -- 13. Balance Theory -- 14. Markov Chains -- 15. Demography -- 16. Evolutionary Game Theory -- 17. Power and Cooperative Games -- 18. Complexity and Chaos -- Afterword: “Resistance Is Futile” -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec
A comprehensive textbook on the tools of mathematical sociology and their applicationsMathematical models and computer simulations of complex social systems have become everyday tools in sociology. Yet until now, students had no up-to-date textbook from which to learn these techniques. Introduction to Mathematical Sociology fills this gap, providing undergraduates with a comprehensive, self-contained 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 easy-to-use Mathematica-based computer simulations that students can use to examine the effects of changing parameters on model behavior.Provides an up-to-date and self-contained introduction to mathematical sociologyExplains essential mathematical tools and their applicationsIncludes numerous exercises throughoutFeatures easy-to-use computer simulations to help students master concepts
Mode of access: Internet via World Wide Web.
In English.
9781400842452
10.1515/9781400842452 doi
Mathematical sociology.
SOCIAL SCIENCE / Methodology.
Addition. Adjacency matrix. Advertising. Balance theory. Betweenness centrality. Binomial distribution. Boolean algebra (structure). Calculation. Centrality. Circle graph. Coefficient. Community structure. Complex network. Complexity. Computer simulation. Cooperative game. Demography. Diagram (category theory). Directed graph. Emergence. Employment agency. Epidemiology. Equivalence relation. Expected value. Finding. Graph theory. Grid network. Income. Investor. Life expectancy. Main diagonal. Markov chain. Markov property. Mathematical sociology. Mathematician. Mathematics. Matrix multiplication. Mutual exclusivity. Nash equilibrium. Natural number. Negative relationship. Normal distribution. Pareto distribution. Percentage. Power law. Power set. Preferential attachment. Prisoner's dilemma. Probability. Proportionality (mathematics). Quantity. Questionnaire. Random graph. Rational choice theory. Result. Sampling (statistics). Scale-free network. Set theory. Small-world network. Social science. Sociology. Standard deviation. Statistic. Subset. Summation. Symmetric relation. Venn diagram. Website. Wiring (development platform). Woman.
HM529 .B66 2012
302.301/513 302.301513
Introduction to Mathematical Sociology / Phillip Bonacich, Philip Lu. - 1 online resource (240 p.) : 25 halftones. 58 line illus. 30 tables.
Frontmatter -- CONTENTS -- List of Figures -- List of Tables -- Preface -- 1. Introduction -- 2. Set Theory and Mathematical Truth -- 3. Probability: Pure and Applied -- 4. Relations and Functions -- 5. Networks and Graphs -- 6. Weak Ties -- 7. Vectors and Matrices -- 8. Adding and Multiplying Matrices -- 9. Cliques and Other Groups -- 10. Centrality -- 11. Small-World Networks -- 12. Scale-Free Networks -- 13. Balance Theory -- 14. Markov Chains -- 15. Demography -- 16. Evolutionary Game Theory -- 17. Power and Cooperative Games -- 18. Complexity and Chaos -- Afterword: “Resistance Is Futile” -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec
A comprehensive textbook on the tools of mathematical sociology and their applicationsMathematical models and computer simulations of complex social systems have become everyday tools in sociology. Yet until now, students had no up-to-date textbook from which to learn these techniques. Introduction to Mathematical Sociology fills this gap, providing undergraduates with a comprehensive, self-contained 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 easy-to-use Mathematica-based computer simulations that students can use to examine the effects of changing parameters on model behavior.Provides an up-to-date and self-contained introduction to mathematical sociologyExplains essential mathematical tools and their applicationsIncludes numerous exercises throughoutFeatures easy-to-use computer simulations to help students master concepts
Mode of access: Internet via World Wide Web.
In English.
9781400842452
10.1515/9781400842452 doi
Mathematical sociology.
SOCIAL SCIENCE / Methodology.
Addition. Adjacency matrix. Advertising. Balance theory. Betweenness centrality. Binomial distribution. Boolean algebra (structure). Calculation. Centrality. Circle graph. Coefficient. Community structure. Complex network. Complexity. Computer simulation. Cooperative game. Demography. Diagram (category theory). Directed graph. Emergence. Employment agency. Epidemiology. Equivalence relation. Expected value. Finding. Graph theory. Grid network. Income. Investor. Life expectancy. Main diagonal. Markov chain. Markov property. Mathematical sociology. Mathematician. Mathematics. Matrix multiplication. Mutual exclusivity. Nash equilibrium. Natural number. Negative relationship. Normal distribution. Pareto distribution. Percentage. Power law. Power set. Preferential attachment. Prisoner's dilemma. Probability. Proportionality (mathematics). Quantity. Questionnaire. Random graph. Rational choice theory. Result. Sampling (statistics). Scale-free network. Set theory. Small-world network. Social science. Sociology. Standard deviation. Statistic. Subset. Summation. Symmetric relation. Venn diagram. Website. Wiring (development platform). Woman.
HM529 .B66 2012
302.301/513 302.301513