## Mathematical Thought From Ancient to Modern Times : Volume 1, Volume 1 (Google eBook) |

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#### Review: Mathematical Thought from Ancient to Modern Times: Vol 1

User Review - Victor Davis - GoodreadsDefinitely reading part 2. A very riveting account of exactly the title. All the anecdotes, the myths, the stories, the hard facts, personalities, rivalries, everything. Oh, and math! It's refreshing ... Read full review

#### Review: Mathematical Thought from Ancient to Modern Times: Vol 1

User Review - Al - GoodreadsAfter Descartes comes math. I'm reading this from the library without really paying too much attention, and vaguely pretending it will solve my coding problems in xna. A helper text for Manuel DeLanda. Read full review

### Contents

3The Creation of Classical Greek Mathematics | |

4Euclid and Apollonius | |

Geometry and Trigonometry | 4-35 |

The Reemergence of Arithmetic and Algebra | 4-81 |

7The Greek Rationalization of Nature | 4-102 |

11The Renaissance | 4-207 |

12Mathematical Contributions in the Renaissance | 4-230 |

13Arithmetic and Algebra in the Sixteenth and Seventeenth Centuries | 4-259 |

14The Beginnings of Projective Geometry | 4-309 |

15Coordinate Geometry | 4-333 |

16The Mathematization of Science | 15-16 |

17The Creation of the Calculus | 15-41 |

Abbreviations | 15-114 |

8The Demise of the Greek World | 4-141 |

9The Mathematics of the Hindus and Arabs | 4-158 |

10The Medieval Period in Europe | 4-184 |

Name Index | 24 |

55 | |

### Common terms and phrases

Alexandrian Greek angle Apollonius Arabs Archimedes Aristotle Aristotle’s arithmetic and algebra astronomy axioms Babylonians became bodies Book calculus called Cardan Chap chord circle classical concept cone conic sections construction coordinate geometry cube curves deductive definition Desargues Descartes Descartes’s diameter Diophantus Dover reprint earth Egyptian ellipse equal equations Euclid Euclid’s Elements Euclidean geometry Eudoxus example fact Fermat Figure fractions functions Galileo given Greek mathematics Hence Hindus Hipparchus History of Mathematics hyperbola ideas infinite integral irrational numbers Kepler knowledge Leibniz length magnitudes mathematicians mechanics method method of exhaustion motion nature negative numbers Newton notation numbers obtained Pappus parabola Pascal philosophy physical plane Plato positional notation principles problems Proclus proof Proposition proved Ptolemy Ptolemy’s Pythagoreans quadratic quantities ratio rectangle roots says sides solve sphere spherical square straight line symbols tangent theorem theory of numbers triangle trigonometry velocity Vieta volumes whole numbers