## Bridges to infinity: the human side of mathematicsExplains important mathematical concepts, such as probability and statistics, set theory, paradoxes, symmetries, dimensions, game theory, randomness, and irrational numbers |

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#### LibraryThing Review

User Review - dangraves - LibraryThingTo a mathematician this book may not be thrilling, may even seem mistaken in places, but as a layman with just enough math to pass first semester calculus, I found this book exciting and have read it ... Read full review

#### LibraryThing Review

User Review - jmattas - LibraryThingI don't know how a layman would come to appreciate abstract mathematical ideas by reading these essays, but for those more familiar with math, such as myself, the characterizations seem a bit awkward ... Read full review

### Contents

BETWEEN CHECKERS AND CHESS | 7 |

A CERTAIN TREASURE | 11 |

IRRATIONAL THINKING | 31 |

Copyright | |

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### Common terms and phrases

abstract According actually algebraic equations algebraists arithmetic asymptotic limit behave behavior believe black hole Bolyai calculate Cantor Carl Friedrich Gauss catastrophe theory century certainty common sense concept deductive reasoning definition described digits dimension discovery earth electron ematicians ematics Euclid's geometry Euclidean Euclidean geometry example existence fine-structure constant fractions Frege game theory Gauss Georg Cantor German mathematician Godel's Greeks group theory human hypothesis imaginary numbers imagination infinite set infinitely long infinity instance invented irrational number Leonhard Euler logic Mandelbrodt math mathematical mathematicians matrices means miles multiplied natural numbers natural world negative numbers nothingness null set object optimal strategy paradox physical plane players polygon positive number possible postulate predict principle problem proved rational number line reason Related Essays result Riemann's Russell's paradox scientists sequence space species speed starfish stars straight line subsets surface symmetry theorems things topological transfinite number traveling salesman problem universe whole numbers width zero