## Alternate realities: mathematical models of nature and manPraise for Alternate Realities Mathematical Models of Nature and Man "â¦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." âGeorge Leitmann, University of California, Berkeley "Surveys an extensive amount of modern mathematicsâ¦introduces and outlines some of these basic modern ideas for the non-specialist." âDonald G. Saari, Northwestern University "A sophisticated and modern text on mathematical modellingâ¦much more comprehensive than any of its competitors currently on the market." âGeorge Klir, State University of New York at Binghamton "Castiâs approach is fearless in constructing conceptual mappings between reality and mathematical notions. The book is pioneering in nature." âMyron B. Allen, University of Wyoming An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Natural Systems and Formal Mathematical Representations 1 A Theory of Models | 1 |

States Observables and Natural Systems | 4 |

Equations of State | 6 |

Copyright | |

133 other sections not shown

### Common terms and phrases

assume attractor automaton basic behavior bifurcation brain catastrophe theory cell cellular automata chaos chaotic chapter characteristic values classical codimension complex components consider corresponding critical point cusp cycle defined discussion dynamical system elements encoding equation equilibrium equivalent evolution evolutionary example finite fixed point foregoing function gene genetic genotype geometry given global idea incidence matrix initial configuration input input/output interaction involving language linear system Lyapunov exponents manifold mathematical metabolic mixed strategy Moore neighborhood neighborhood nonzero notion observables one-dimensional optimal output parameters pattern payoff matrix phenotype physical players polynomial population possible problem properties quadratic question random reachable relation repair map replicator dynamics replicator systems represent result rule scientific sequence Show singularity theory situation smooth smooth functions Splitting Lemma stable state-space strategy structure vector subsystem Theorem time-steps tion trajectories variables