## The Gentle Art of MathematicsThis lighthearted work uses a variety of practical applications and puzzles to take a look at today's mathematical trends. In nine chapters, Professor Pedoe covers mathematical games; chance and choice; where does it end; automatic thinking; two-way stretch; rules of play; an accountant's nightmare; and double talk. Practical examples and problems are featured throughout. |

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### Contents

Cnarran | 9 |

CHAPTER II | 35 |

CHAPTER III | 56 |

CHAPTER IV | 65 |

universal class and null class some laws are unsatisfactory | 74 |

CHAPTER V | 77 |

CHAPTER VI | 90 |

CHAPTER VIII | 128 |

CHAPTER IX | 136 |

### Common terms and phrases

absolutely convergent algebra Augustus De Morgan axiom of choice axioms binary decimal binary scale called cards chances Chapter circle coin colours column consider contains convergent decimal expansion deﬁned deﬁnition denote division E. A. Wallis Budge element equation example false ﬁfteen ﬁgure ﬁlled ﬁnal ﬁnd ﬁnite number ﬁrst ﬁrst throw ﬁxed geometric series give given GUSTAV STICKLEY heads Hence illustrations inﬁnite class inﬁnite decimal inﬁnite number inﬁnite series integers large number logic mathe mathematicians Moebius multiplication natural numbers obtain one-to-one correspondence paradox Pascal Petersburg paradox photographs plane player polyhedron prime probability of throwing problem proof proposition proved rational number reader real numbers recurring decimal reﬂection representing the class result rotation satisﬁed simple simply-connected six dice statement strategic position surface symbol symmetry tails ternary decimal theorem theory toss transﬁnite number true weighing write