Aiming to bridge the gap between mathematical models and the social experience of reality, this study examines the recent developments in dynamical systems theory. It explores the tools - chaos, linear systems theory, evolutionary game theory - and introduces new areas.
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An account of the syntax and semantics of the language in which these reality rules are written--the language of mathematics. Coverage includes a discussion of computation and complexity running the gamut from Godel's Incompleteness Theorem and its connection to work in artificial intelligence to the problem of NP-completeness and the complexity of numerical algorithms to the relation between chaos and stock-price fluctuations. Each chapter contains a significant amount of research problems and ends with discussion questions. Features an extended, annotated bibliography.
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