## A Mathematics Sampler: Topics for the Liberal ArtsNow in its fifth edition, A Mathematics Sampler presents mathematics as both science and art, focusing on the historical role of mathematics in our culture. It uses selected topics from modern mathematics including computers, perfect numbers, and four-dimensional geometry to exemplify the distinctive features of mathematics as an intellectual endeavor, a problem-solving tool, and a way of thinking about the rapidly changing world in which we live. A Mathematics Sampler also includes unique LINK sections throughout the book, each of which connects mathematical concepts with areas of interest throughout the humanities. The original course on which this text is based was cited as an innovative approach to liberal arts mathematics in Lynne Cheney's report, "50 HOURS: A Core Curriculum for College Students," published by the National Endowment for the Humanities. |

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### Contents

Number Theory | 19 |

Geometries | 67 |

Probability and Statistics | 125 |

Copyright | |

9 other sections not shown

### Other editions - View all

A Mathematics Sampler: Topics for the Liberal Arts, Manual William P. Berlinghoff,Kerry E. Grant,Dale John Skrien No preview available - 2001 |

### Common terms and phrases

1-1 correspondence 4-space algebra algorithm angles axiom system bers cardinal number chapter circle cities construct contains coordinate cosets cross section crossing curve cube data set decimal defined definition described digits divisors edge path equal Euclidean Euclidean geometry exactly example F F F false Figure five-number summary formula geometry given graph theory Hamilton graph hypersphere idea identity element integers intersection inverse Lagrange's Theorem length line segment logical mathematicians mathematics mean ment Mersenne primes natural numbers non-Euclidean geometries notation NP-complete number of elements operation ordered pair outcomes pattern perfect number plane possible prime factorization prime number probability problem proof prove radius rational numbers represent sample space Selection Sort set-builder notation shortest tour solution solve square statement steps subgroup subset Table taxicab tesseract Theorem tion Traveling Salesman Problem triangle true vertex path vertices WRITING EXERCISES xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx