## Great Moments in Mathematics Before 1650Great Moments in Mathematics: Before 1650 is the product of a series of lectures on the history of mathematics given by Howard Eves. He presents here, in chronological order, 20 ``great moments in mathematics before 1650'', which can be appreciated by anyone who enjoys mathematics. These wonderful lectures could be used as the basis of a course on the history of mathematics but can also serve as enrichment to any mathematics course. Included are lectures on the Pythagorean Theorem, Euclid's Elements, Archimedes (on the sphere), Diophantus, Omar Khayyam, and Fibonacci. |

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### Contents

8 | |

16 | |

Lecture 4 The first great theorem | 26 |

Lecture 5 Precipitation of the first crisis | 43 |

Lecture 6 Resolution of the crisis | 53 |

Lecture 7 First step in organizing mathematic | 62 |

Lecture 8 The mathematicians bible | 70 |

Lecture 9 The thinker and the thug | 83 |

Lecture 14 The poetmathematician of khorasan | 148 |

Lecture 15 The blockhead | 160 |

Lecture 16 An extraordinary and bizarre story | 172 |

Lecture 17 Doubling the life of the astronomer | 182 |

Lecture 18 The stimulating of science | 194 |

Lecture 19 Slicing it thin | 206 |

Lecture 20 The transformsolveinvert technique | 215 |

Hints of the solution of some of the exercises | 229 |

Lecture 10 A boost from astronomy | 96 |

Lecture 11 the first great number theorist | 110 |

Lecture 12 The syncopation of algebra | 126 |

Lecture 13 Two early computing inventions | 135 |

Index | 261 |

Back cover | 271 |

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