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These lectures develop simple models of complex social processes using nonlinear dynamics and mathematical biology. Dynamical analogies between seemingly disparate social and biological phenomena--revolutions and epidemics, arms races, and ecosystem dynamics--are revealed and exploited. Nonlinear Dynamics, Mathematical Biology, and Social Science invites social scientists to relax--in some cases abandon--the predominant assumption of perfectly informed utility maximization and explore social dynamics from such perspectives as epidemiology and predator-prey theory. The volume includes a concentrated course on nonlinear dynamical systems.