## A Short Account of the History of MathematicsThis text remains one of the clearest, most authoritative and most accurate works in the field. The standard history treats hundreds of figures and schools instrumental in the development of mathematics, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann. |

### Contents

III | 1 |

IV | 9 |

V | 11 |

VII | 31 |

VIII | 48 |

IX | 91 |

XI | 114 |

XII | 119 |

XVII | 180 |

XVIII | 197 |

XX | 242 |

XXII | 261 |

XXIII | 266 |

XXIV | 317 |

XXV | 351 |

XXVII | 389 |

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### Common terms and phrases

algebra analysis analytical geometry angle Apollonius Arab Archimedes arithmetic astronomy Athenian school Berlin Bernoulli born Brahmagupta Cambridge Cantor centre century chapter circle conic conic sections contains contemporaries cube cubic equation curve denote Descartes determined died differential calculus Diophantus discoveries discussed earliest edition enunciated equal Euclid Euclid's Elements Euler Fermat fluxions French functions Gauss gave geometricians given Greek Greek mathematics Hipparchus history of mathematics illustrations infinitesimal calculus integral introduced invention investigations John Bernoulli known Lagrange Laplace later lectures Leibnitz Leipzig London mathe mathematicians mechanics memoirs mentioned method modern motion Newton notation obtained papers Paris philosophy plane Principia principles probably problem proof propositions published Pythagoras quadrature quantity ratio Regiomontanus roots shewed solution solved square straight line subsequently symbols tangent text-books theorem theory of numbers tion translation treatise triangle trigonometry Vieta volumes writers written wrote