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From the Publisher
"Casti Tours offers the most spectacular vistas of modern applied
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
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 . . .
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
1989 0-471-61842-X 493pp.