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 . . .
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.
Catastrophes, Dynamics and Life: The Singularities of Ecological and Natural Resource Systems.
Pattern and the Emergence of Living Forms: Cellular Automata and Discrete Dynamics.
Order in Chaos: Variety and Pattern in the Flow of Fluids, Populations and Money.