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Reality Rules, Picturing the World in Mathematics, Volume 2, The Frontier

ISBN: 978-0-471-18436-2 March 1997 448 Pages


"Casti Tours offers the most spectacular vistas of modern appliedmathematics."-- Nature

Mathematical modeling is about rules--the rules of reality. RealityRules explores the syntax and semantics of the language in whichthese rules are written, the language of mathematics. Characterizedby the clarity and vision typical of the author's previous books,Reality Rules is a window onto the competing dialects of thislanguage--in the form of mathematical models of real-worldphenomena--that researchers use today to frame their views ofreality.

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 . . .


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.

1989 0-471-61842-X 493pp.

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The Analytical Engine: A System-Theoretic View of Brains, Minds andMechanisms.

Taming Nature and Man: Control, Anticipation and Adaptation inSocial and Biological Processes.

The Geometry of Human Affairs: Connective Structure in Art,Literature and Games of Chance.

The Mystique of Mechanism: Computation, Complexity and the Limitsto Reason.

How Do We Know?: Myths, Models and Paradigms in the Creation ofBeliefs.