Alternate Realities: Mathematical Models of Nature and Man / Edition 1

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Overview

Praise for Alternate Realities Mathematical Models of Nature and Man "…covers the major topics completely and accurately within the context of current knowledge. Indeed, to my knowledge, there is no book which does so nearly as completely and well." —George Leitmann, University of California, Berkeley "Surveys an extensive amount of modern mathematics…introduces and outlines some of these basic modern ideas for the non-specialist." —Donald G. Saari, Northwestern University "A sophisticated and modern text on mathematical modelling…much more comprehensive than any of its competitors currently on the market." —George Klir, State University of New York at Binghamton "Casti’s approach is fearless in constructing conceptual mappings between reality and mathematical notions. The book is pioneering in nature." —Myron B. Allen, University of Wyoming

Contents: Chapter 1. The Ways of Modelmaking: Natural Systems and Formal Mathematical Representations; 2. Pattern and the Emergence of Living Forms: Cellular Automata and Discrete Dynamics; 3. The Analytical Engine: A Newtonian View of Brains, Minds and Mechanisms; 4. Catastrophes and Life: The Singularities of Ecological and Natural Resource Systems; 5. Order in Chaos: Turbulence and Pattern in the Flow of Fluids, Populations and Money; 6. Strategies for Survival: Competition, Games and the Theory of Evolution; 7. Taming Nature and Man: Control, Anticipation and Adaptation in Social and Biological Processes; 8. The Geometry of Human Affairs: Connective Structure in Art, Literature and Games of Chance; 9. How Do We Know?: Myths, Models and Paradigms in the Creation of Beliefs.

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Editorial Reviews

Booknews
Textbook for undergraduate students covers a broad spectrum of fields and topics, including biology, cognitive processes, ecological and natural resource systems, fluid flow, evolution, artistic forms and games of chance and relates them to the newest mathematical theories of chaos, bifurcation, complexity. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780471618423
  • Publisher: Wiley
  • Publication date: 2/28/1989
  • Edition number: 1
  • Pages: 493
  • Product dimensions: 7.28 (w) x 10.24 (h) x 1.22 (d)

Meet the Author

About the author John L. Casti is a Professor at the Institute for Econometrics, Operations Research, and System Theory at the Technical University of Vienna, Austria. He is the author or editor of nine books, including, most recently, Linear Dynamical Systems and Paradigms Lost: Conflicting Visions of Reality in Modern Science, a science book for the general reader. In addition, he has published over 70 research papers. Professor Casti received his PhD in mathematics from the University of Southern California, Los Angeles, in 1970.

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Table of Contents

The Ways of Modelmaking: Natural Systems and Formal Mathematical Representations.

Pattern and the Emergence of Living Forms: Cellular Automata and Discrete Dynamics.

The Analytical Engine: A Newtonian View of Brains, Minds and Mechanisms.

Catastrophes and Life: The Singularities of Ecological and Natural Resource Systems.

Order in Chaos: Turbulence and Pattern in the Flow of Fluids, Populations and Money.

Strategies for Survival: Competition, Games and the Theory of Evolution.

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

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

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

Discussion Questions.

Problems and Exercises.

Notes and References.

Index.

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