Providing a modern account of the theory and practice of mathematical modelling, this treatment stresses system-theoretic concepts such as complexity, self-organization, adaptation, bifurcation, resiliance, surprise, uncertainty and the structures needed to employ these in a formal system.

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

The ways of modelmaking: natural systems and formal mathematical representations
patterns 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.