## Mathematics in the modern world: readings from Scientific American |

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### Contents

Introduction | 2 |

Innovation in Mathematics | 7 |

Mathematical Creation | 14 |

Copyright | |

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### Common terms and phrases

abstract algebra analysis applied arithmetic axiom of choice axioms binary Bourbaki calculation called century chance circle circuit complex numbers concept curvature curve Descartes digits electric electronic Eniac equal equations Euclidean geometry example fact field figure finite fixed-point theorems force formula function game theory Gauss gravitational idea illustration infinite integers intuition James Clerk Maxwell Klein bottle L. E. J. Brouwer Laplace large number logical machine magnetic mathe mathematicians matics Maxwell means mechanics ment method motion move multiplication nature Newton non-Euclidean non-Euclidean geometry operations pairs paradox particles physical physicist plane positive integers possible principle prob probability problem produce projective geometry proof properties proved quaternions question Ramanujan real numbers represented rotation sample sequence set theory solution space sphere square surface symbols theorem tion topology tosses triangle true tube University velocity