## The History of the Calculus and Its Conceptual Development: (The Concepts of the Calculus) |

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#### Review: The History of the Calculus and Its Conceptual Development

User Review - Sarita - GoodreadsClassic. Still my go-to resource for most general topics in the history of mathematics, despite how old it is. Very thorough. Not exactly a fun read though. Read full review

#### Review: The History of the Calculus and Its Conceptual Development

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### Contents

1 | |

14 | |

MEDIEVAL CONTRIBUTIONS | 61 |

A CENTURY OF ANTICIPATION | 96 |

NEWTON AND LEIBNIZ | 187 |

THE PERIOD OF INDECISION | 224 |

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### Common terms and phrases

algebra analysis appeared Archimedes Aristotle arithmetic Barrow basis Bernoulli Bolzano Cantor Cauchy Cavalieri century continuous curve Cusa D’Alembert deﬁned deﬁnition demonstration derivative Descartes differential calculus Duhem Etudes sur Léonard Euclid Euler Fermat ﬁgure ﬁnal ﬁnd ﬁnding ﬁnite ﬁrst ﬁxed formal function Galileo geometrical Geschichte given Greek Mathematics Gregory of St History Ibid idea inasmuch indeﬁnitely indivisibles inﬁnite number inﬁnite sequence inﬁnite series inﬁnitesimal inﬂuence instantaneous velocity interpreted intuition John Bernoulli Kepler Lagrange later Leibniz Léonard de Vinci limit concept logical magnitude mathe mathematicians matics metaphysical method of exhaustion method of ﬂuxions Moritz Cantor Newton and Leibniz Nicholas of Cusa notion Opera omnia Oresme parabola Pascal Paul Tannery philosophers polygon problems procedure proposition Pythagorean quadratures regarded result rigorous Roberval Scholastic Schriften scientiﬁc sense signiﬁcance Stevin T. L. Heath tangent theorem theory thought tion Torricelli triangle ultimate ratio Valerio variable Wallis Weierstrass zero

### Popular passages

Page 3 - Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.