1901 in Science - Mathematics

Mathematics

  • May/June - Russell's paradox: Bertrand Russell shows that Georg Cantor's naive set theory leads to a contradiction.
  • Élie Cartan develops the exterior derivative.
  • Leonard Eugene Dickson publishes Linear groups with an exposition of the Galois field theory in Leipzig, advancing the classification of finite simple groups and listing almost all non-abelian simple groups having order less than one billion.
  • Aleksandr Lyapunov proves the central limit theorem rigorously using characteristic functions.

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