## Great Moments in Mathematics (after 1650)Presents a series of lectures on the history of mathematics covering such topics as the birth of mathematical probability, the invention of the differential calculus, and the discovery of non-Euclidean geometry. |

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### Contents

LECTURE TWENTYTWO Moving pictures versus still pictures | 11 |

The invention of the differential calculus 16291680s | 25 |

LECTURE TWENTYFOUR Powerful series | 40 |

Copyright | |

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### Common terms and phrases

acute angle addition and multiplication applied arithmetic axiomatics branch of pure called Cantor cardinal number century complex numbers concept considered consistent constitutes convergence curve defined definition denote denumerable discourse dyadic relation element elementary equal equation equivalent Euclid’s Euclidean geometry example exists Fermat finite number formula Fourier series given Godel number Hausdorff space Howard Eves hypothesis infinite series interpretation invariant inverse lecture text Leibniz Lobachevskian logical lorotation machine mathe mathematicians ment method metric space MOMENTS IN MATHEMATICS natural number system Newton non-Euclidean geometry nonsingular transformations obtain operation ordered pairs parallel postulate Pascal planar polynomial positive integers postulate set postulate system power series primitive terms problem projective geometry proof properties propositional function proved pure mathematics quaternions rational numbers real number system right angles Saccheri sequence set theory Show statements straight line symbol tangent tion transcendental transformation group triangle