Reality Rules, The Fundamentals / Edition 1 available in Paperback
"Casti Tours offers the most spectacular vistas of modern appliedmathematics" NatureMathematical modeling is about rulesthe rules of reality.Reality Rules explores the syntax and semantics of the language inwhich these rules are written, the language of mathematics.Characterized by the clarity and vision typical of the author'sprevious books, Reality Rules is a window onto the competingdialects of this languagein the form of mathematical modelsof real-world phenomenathat researchers use today to frametheir views of reality. Moving from the irreducible basics of modeling to the upper reachesof scientific and philosophical speculation, Volumes 1 and 2, TheFundamentals and The Frontier, are ideal complements, equallymatched in difficulty, yet unique in their coverage of issuescentral to the contemporary modeling of complex systems. Engagingly written and handsomely illustrated, Reality Rules is afascinating journey into the conceptual underpinnings of realityitself, one that examines the major themes in dynamical systemtheory and modeling and the issues related to mathematical modelsin the broader contexts of science and philosophy. Far-reaching andfar-sighted, Reality Rules is destined to shape the insight andwork of students, researchers, and scholars in mathematics,science, and the social sciences for generations to come. Of related interest . . . ALTERNATE REALITIES Mathematical Models of Nature and Man John L. Casti A thoroughly modern account of the theory and practice ofmathematical modeling with a treatment focusing on system-theoreticconcepts such as complexity, self-organization, adaptation,bifurcation, resilience, surprise and uncertainty, and themathematical structures needed to employ these in a formalsystem.An Instructor's Manual presenting detailed solutions to all theproblems in the book is available from the Wiley editorialdepartment.
About the Author
John L. Casti is a member of the faculty of the Santa Fe Institute and a professor at the Technical University of Vienna. He is the author of Alternate Realities, Paradigms Lost, Searching for Certainty, Complexification, and Five Golden Rules. Dr. Casti is the executive editor of Complexity, a journal published by John Wiley.
Table of Contents
The Ways of Modelmaking: Natural Systems and Formal MathematicalRepresentations.Catastrophes, Dynamics and Life: The Singularities of Ecologicaland Natural Resource Systems.Pattern and the Emergence of Living Forms: Cellular Automata andDiscrete Dynamics.Order in Chaos: Variety and Pattern in the Flow of Fluids,Populations and Money.Index.