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## Details

Genre/Form: | History |
---|---|

Document Type: | Book |

All Authors / Contributors: |
William P Berlinghoff; Fernando Q Gouvêa |

ISBN: | 9781881929543 188192954X |

OCLC Number: | 892760134 |

Notes: | Errata slip inserted. |

Description: | x, 262 pages : illustrations ; 23 cm |

Contents: | Preface to the second edition -- Preface to the first edition -- History in the mathematics classroom -- The history of mathematics in a large nutshell. Beginnings -- Greek mathematics -- Meanwhile, in India -- Arabic mathematics -- Medieval Europe -- The 15th and 16th centuries -- Algebra comes of age -- Calculus and applied mathematics -- Rigor and professionalism -- Abstraction, computers, and new applications -- Mathematics today -- Sketches. Keeping count : writing whole numbers -- Reading and writing arithmetic : the basic symbols -- Nothing becomes a number : the story of zero -- Broken numbers : writing fractions -- Less than nothing? : negative numbers -- By tens and tenths : metric measurement -- Measuring the circle : the story of pi -- The Cossic art : writing algebra with symbols -- Linear thinking : solving first degree equations -- A square and things : quadratic equations -- Intrigue in Renaissance Italy : solving cubic equations -- A cheerful fact : the Pythagorean theorem -- A marvelous proof : Fermat's last theorem -- On beauty bare : Euclid's plane geometry -- In perfect shape : the Platonic solids -- Shapes by the numbers : coordinate geometry -- Impossible, imaginary, useful : complex numbers -- Half is better : sine and cosine -- Strange new worlds : the non-Euclidean geometries -- In the eye of the beholder : projective geometry -- What's in a game? : the start of probability theory -- Making sense of data : statistics becomes a science -- Machines that think? : electronic computers -- The arithmetic of reasoning : Boolean algebra -- Beyond counting : infinity and the theory of sets -- Out of the shadows : the tangent function -- Counting ratios : logarithms -- Any way you slice it : conic sections -- Beyond the pale : irrational numbers -- Barely touching : from tangents to derivatives -- What to read next. The reference shelf -- Twelve historical books you ought to read -- History Online -- When they lived. |

Responsibility: | William P. Berlinghoff, Fernando Q. Gouvêa, Colby College. |

### Abstract:

"Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind pi? ...negative numbers? ...the metric system? ...quadratic equations? ...sine and cosine? ...logs? The 30 independent sketches and 58-page historical overview in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas."--Page 4 of cover.

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