## 100 years of mathematics |

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### Contents

INFINITESIMALS | 19 |

CANTOR AND TRANSFINITE NUMBERS | 25 |

FINITE AND INFINITE NUMBERS | 34 |

Copyright | |

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### Common terms and phrases

A. N. Whitehead abstract algebraic numbers analysis arithmetic axiom of choice axioms boundary bounded Brouwer calculus of variations Cantor Cauchy classical coefficients complete complex numbers concept condition consider constructed continuous function coordinates corresponding curve Dedekind defined definition derived set developed differential equations dimensions Dirichlet distribution domain E. T. Whittaker elements Euclidean space existence expressed finite number Fourier Frechet Frege fundamental geometry given harmonic functions Hilbert independent infinite infinitesimal integral intersection interval introduced Kronecker L. C. Young Laurent Schwartz Lebesgue limit linear logic manifold mapping mathematicians mathematics method metric n-dimensional natural numbers neighbourhood open sets ordinal numbers Peano Poincare polynomials positive potential theory principle problem proof properties proposition quaternions rational numbers real numbers relation researches restricted Riemann Russell Section set of points solution subset surface tensor theorem tion topological transfinite transformation values variables vector Weierstrass well-ordering theorem zero