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Reality Rules: Picturing the World in Mathematics The Fundamentals: v.1 - Hardcover

 
9780471570219: Reality Rules: Picturing the World in Mathematics The Fundamentals: v.1

Synopsis

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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From the Back Cover

"Casti Tours offers the most spectacular vistas of modern applied mathematics" Nature

Mathematical modeling is about rules the rules of reality. Reality Rules explores the syntax and semantics of the language in which these rules are written, the language of mathematics. Characterized by the clarity and vision typical of the author′s previous books, Reality Rules is a window onto the competing dialects of this language in the form of mathematical models of real–world phenomena that researchers use today to frame their views of reality.

Moving from the irreducible basics of modeling to the upper reaches of scientific and philosophical speculation, Volumes 1 and 2, The Fundamentals and The Frontier, are ideal complements, equally matched in difficulty, yet unique in their coverage of issues central to the contemporary modeling of complex systems.

Engagingly written and handsomely illustrated, Reality Rules is a fascinating journey into the conceptual underpinnings of reality itself, one that examines the major themes in dynamical system theory and modeling and the issues related to mathematical models in the broader contexts of science and philosophy. Far–reaching and far–sighted, Reality Rules is destined to shape the insight and work 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 of mathematical modeling with a treatment focusing on system–theoretic concepts such as complexity, self–organization, adaptation, bifurcation, resilience, surprise and uncertainty, and the mathematical structures needed to employ these in a formal system.

1989 0–471–61842–X 493pp.

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.

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  • PublisherWiley–Blackwell
  • Publication date1992
  • ISBN 10 0471570214
  • ISBN 13 9780471570219
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages416

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9780471184355: Reality Rules V1 P: Picturing the World in Mathematics : The Fundamentals: 0001 (Reality Rules (Volume 1))

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Half Leather. An update of Casti's "Alternate Realities": new chapter and sections, drill exercises, many new examples, new discussion questions, and a solutions manual. This is Part 1 only, 388 pages.; 7 1/4 x 10 1/4 " Near Fine in Near Fine dust jacket. Seller Inventory # 101387

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