## Five golden rules: great theories of 20th-century mathematics and why they matterPraise for Five Golden Rules "Casti is one of the great science writers of the 1990s. . . . If you'd like to have fun while giving your brain a first-class workout, then check this book out."-Keay Davidson in the San Francisco Examiner. "Five Golden Rules is caviar for the inquiring reader. . . . There is joy here in watching the unfolding of these intricate and beautiful techniques. Casti's gift is to be able to let the nonmathematical reader share in his understanding of the beauty of a good theory." -Christian Science Monitor. "Merely knowing about the existence of some of these golden rules may spark new, interesting-maybe revolutionary-ideas in your mind." -Robert Matthews in New Scientist (United Kingdom). "This book has meat! It is solid fare, food for thought. Five Golden Rules makes math less forbidding and much more interesting." -Ben Bova in the Hartford Courant "With this groundbreaking work, John Casti shows himself to be a great mathematics writer. Five Golden Rules is a feast of rare new delights all made perfectly comprehensible." -Rudy Rucker, author of The Fourth Dimension. "With the lucid informality for which he has become known, John Casti has written an engaging and articulate examination of five great mathematical theorems and their myriad applications." -John Allen Paulos, author of A Mathematician Reads the Newspaper. |

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#### Five golden rules: great theories of 20th-century mathematics and why they matter

User Review - Not Available - Book VerdictMost people have a very poor idea of what mathematicians do, since in school they are exposed only to centuries-old material. Casti (Complexification, HarperCollins, 1994) has written an excellent ... Read full review

### Contents

Deadly Games Games of Strategy TwoPerson ZeroSum | 40 |

Morses Theorem Singularity Theory | 85 |

Thats the Way the Paper Crumples A Taylors Tale Tugging | 128 |

Copyright | |

2 other sections not shown

### Common terms and phrases

action algorithm arithmetic B-III behavior Brouwer Fixed-Point Theorem Busy Beaver called catastrophe theory chapter choice closed surfaces codimension computation constraints continuous transformation cooperative corank criterion function cross-cap curve degenerate critical point equations equilibrium example exist fact finite number fixed point fixed-point property formal system game theory geometry given Godel Halting Problem Hilbert's idea input integer involving Kenney kind labeled logical look mathematical mathematicians means minimal Minimax Theorem mixed strategy Mobius band Morse function Morse's Theorem node non-Morse function nondegenerate critical point notion number of steps objects optimal mixed strategy original parameters payoff matrix plane play player possible Prisoner's Dilemma provable pure strategies rational reader real numbers result rules saddle point shown in Figure shows simple singularity theory situation smooth functions solution solve sphere square statement string Suppose symbols topological space topologically equivalent turns types values variables what's