-  Isaac Newton 
 
-  Carl F. Gauss 
 
-  Archimedes 
 
-  Leonhard Euler 
 
-  Euclid 
 
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-  Bernhard Riemann 
 
-  Henri Poincaré 
 
-  David Hilbert 
 
-  Alexander Grothendieck 
 
-  Gottfried W. Leibniz 
 
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-  Joseph-Louis Lagrange 
 
-  Pierre de Fermat 
 
-  Niels Abel 
 
-  Évariste Galois 
 
-  John von Neumann 
 
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    | 
 
-  Srinivasa Ramanujan 
 
-  Karl W. T. Weierstrass 
 
-  Brahmagupta 
 
-  René Déscartes 
 
-  Augustin Cauchy 
 
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-  Hermann K. H. Weyl 
 
-  Leonardo `Fibonacci' 
 
-  Carl G. J. Jacobi 
 
-  Peter G. L. Dirichlet 
 
-  Georg Cantor 
 
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-  Arthur Cayley 
 
-  Emma Noether 
 
-  Pythagoras of Samos 
 
-  Muhammed al-Khowârizmi 
 
-  Kurt Gödel 
 
  | 
    At some point a longer list will become a List of Great Mathematicians rather than a List of Greatest Mathematicians. I've expanded the List to Seventy-five, but you may prefer to leave it at Forty or Thirty or even prune it back to just a Top Twenty or Top Fifteen or Top Ten List.  | 
 
-  Eudoxus of Cnidus 
 
-  Bháscara Áchárya 
 
-  Blaise Pascal 
 
-  Apollonius of Perga 
 
-  Pierre-Simon Laplace 
 
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-  William R. Hamilton 
 
-  Richard Dedekind 
 
-  Charles Hermite 
 
-  André Weil 
 
-  Stefan Banach 
 
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-  Felix Christian Klein 
 
-  Diophantus of Alexandria 
 
-  George Boole 
 
-  Ferdinand Eisenstein 
 
-  François Viète 
 
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    | 
 
-  Girolamo Cardano 
 
-  Christiaan Huygens 
 
-  Pappus of Alexandria 
 
-  Andrey N. Kolmogorov 
 
-  Alhazen ibn al-Haytham 
 
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-  Jean le Rond d'Alembert 
 
-  Gaspard Monge 
 
-  Johannes Kepler 
 
-  Jacques Hadamard 
 
-  Hipparchus of Nicaea 
 
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-  Jean-Victor Poncelet 
 
-  Simeon-Denis Poisson 
 
-  Jacob Bernoulli 
 
-  Albert Einstein 
 
-  John Wallis 
 
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    | 
 
-  Liu Hui 
 
-  Aryabhatta 
 
-  Godfrey H. Hardy 
 
-  Joseph Liouville 
 
-  L.E.J. Brouwer 
 
  |    | 
-  Adrien M. Legendre 
 
-  Joseph Fourier 
 
-  John E. Littlewood 
 
-  James J. Sylvester 
 
-  Johann Bernoulli 
 
  |    | 
-  Jakob Steiner 
 
-  F.E.J. Émile Borel 
 
-  Archytas of Tarentum 
 
-  Omar al-Khayyám 
 
-  Henri Léon Lebesgue 
 
  | 
    I probably should have stopped the List at 60 or 70 names, but it's fun to keep expanding. If I were to grow the list even further here are some of the prime candidates:  | 
 
-  M. E. Camille Jordan 
 
-  Takakazu Seki 
 
-  Julius Plücker 
 
-  Francesco B. Cavalieri 
 
-  Alexis C. Clairaut 
 
  |    | 
-  Pafnuti Chebyshev 
 
-  Aristotle 
 
-  John Napier of Merchiston 
 
-  Simon Stevin 
 
-  Thales of Miletus 
 
  |    | 
-  Hermann G. Grassmann 
 
-  Johann H. Lambert 
 
-  Emil Artin 
 
-  Hermann Minkowski 
 
-  Paul Erdös 
 
  | 
 
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