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Mathematical 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 th

Mathematical sociology. --- Addition. --- Adjacency matrix. --- Advertising. --- Algorithm. --- Antisymmetric relation. --- Average path length. --- Balance theory. --- Betweenness centrality. --- Binomial distribution. --- Boolean algebra (structure). --- Calculation. --- Centrality. --- Circle graph. --- Clustering coefficient. --- Coefficient. --- Combination. --- Community structure. --- Complex network. --- Complexity. --- Computer simulation. --- Cooperative game. --- Defection. --- Demography. --- Diagram (category theory). --- Directed graph. --- Emergence. --- Employment agency. --- Employment. --- Epidemiology. --- Equivalence class. --- Equivalence relation. --- Expected value. --- Exponential distribution. --- Finding. --- General Social Survey. --- Graph theory. --- Grid network. --- Income. --- Independence (probability theory). --- Inequality (mathematics). --- Initial condition. --- Investor. --- Life expectancy. --- Main diagonal. --- Markov chain. --- Markov process. --- Markov property. --- Mathematica. --- Mathematical sociology. --- Mathematician. --- Mathematics. --- Matrix multiplication. --- Mutual exclusivity. --- Nash equilibrium. --- Natural number. --- Negative relationship. --- Normal distribution. --- PageRank. --- Parameter. --- Pareto distribution. --- Parity (mathematics). --- Percentage. --- Power law. --- Power set. --- Prediction. --- Preferential attachment. --- Prisoner's dilemma. --- Probability of success. --- Probability. --- Proportionality (mathematics). --- Quantity. --- Questionnaire. --- Random graph. --- Rational choice theory. --- Result. --- Sampling (statistics). --- Scale-free network. --- Scientist. --- Set theory. --- Simulation. --- Small-world network. --- Social class. --- Social movement. --- Social psychology. --- Social science. --- Sociology. --- Standard deviation. --- Statistic. --- Stochastic process. --- Subset. --- Summation. --- Symmetric matrix. --- Symmetric relation. --- Variable (mathematics). --- Venn diagram. --- Website. --- Wiring (development platform). --- Woman. --- Year. --- Zipf's law.