The frontier
著者
書誌事項
The frontier
（Reality rules : picturing the world in mathematics / John L. Casti, 2）
J. Wiley, c1992
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注記
"A Wiley-Interscience publication."
Includes bibliographical references and index
内容説明・目次
内容説明
Advance acclaim for Reality Rules "A first rate text, up-to-date and provocative, written by a master modeler, expositor and critic of the methodology of modeling." - Philip J. Davis Coauthor, The Mathematical Experience "Along with a fascinating variety of models and mathematics, Casti has added a generous supply of workable exercises, making Reality Rules a realistic classroom text as well as a great read." - Reuben Hersh Professor of Mathematics University of New Mexico 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. Includes extensive problem sets and discussion questions. "Surveys an extensive amount of modern mathematics introduces and outlines some of these basic modern ideas for the nonspecialist." - Donald G.
Saari Northwestern University "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 1989 (0 471-61842-X) 493 pp.
目次
Strategies for Survival: Competition, Games and the Theory of Evolution. The Analytical Engine: A System--Theoretic View of Brains, Minds and Mechanisms. 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. The Mystique of Mechanism: Computation, Complexity and the Limits to Reason. How Do We Know?: Myths, Models and Paradigms in the Creation of Beliefs. Index.
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