## Mathematics, Queen and Servant of ScienceAn integration and amplification of two earlier volumes by the same author: The queen of the sciences, 1931 and The handmaiden of the sciences, 1937, this book presents a history of pure and applied mathematics. |

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### Contents

To the Reader | 1 |

MATHEMATICAL TRUTH | 17 |

Adams J C 18191892 13 | 27 |

Copyright | |

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### Common terms and phrases

abstract abstract algebra algebraic integers algebraic number field algebraic numbers analytic analytic geometry angle applied arithmetic automorphism calculating called Chapter commutative complex numbers continuous coordinates corresponding cosets curve D. H. Lehmer defined definition Descartes described dimensions distance divisor ellipse equal Euclid Euclid's example Fermat's field finite number formula functions Galois theory Gauss geometry given graph ideal imagined infinite infinity integers intersection intuition invariant Kepler least Leibniz logic machines manifold mathe mathematical analysis mathematicians maticians matics matrix means mechanics motion multiplication Newton's Newtonian nineteenth observed operations particle physical physicists plane polynomial postulates prediction prime problem projective geometry proof proved Pythagoras Pythagorean theorem quaternions rational numbers real numbers reasoning ring scientific sense simple space square straight line sufficient surface symbols theorem theory of numbers things tion tonian transformations twentieth century unique unity element variable velocity zero