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# Mathematics

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Mathematics (from Greek mathEma: science, learning) is the study of abstract properties of quantity, structure, and space.

This page reflects one organizational view of mathematics. /Schemes offers other views. The organization and presentation of mathematics on Wikipedia is a hot topic--please see /Talk for a lively discussion.

  Quantity
  Natural numbers -- Rational numbers -- Real numbers -- Complex numbers -- Quaternions -- Octonions -- Sedenions -- Hyperreal numbers -- Surreal numbers -- Ordinal numbers -- [Cardinal numbers]? -- [Integer sequences]? -- Mathematical constants -- Number names -- P-adic numbers

  Change
  Calculus -- Vector Calculus -- Analysis -- Differential equations -- [Dynamical systems and chaos theory]? -- Trigonometric Functions -- [Special functions]?

  Structure
  Abstract algebra -- Number theory -- [Algebraic geometry]? -- Group Theory -- Monoids -- Analysis -- Topology -- Geometry -- Linear Algebra -- Graph theory -- Category Theory --

  Space
  Topology -- Geometry -- Pythagorean Theorem -- Linear Algebra -- Tensors

  Finite Mathematics
  Combinatorics -- Basic Set Theory -- Probability and Statistics -- Theory of Computation -- Discrete math -- Graph theory -- Game theory

  Foundations and Methods
  [Philosophy of mathematics]? -- Mathematical intuitionism -- [Foundations of mathematics]? -- Set theory -- Symbolic logic -- [Model theory]? -- Theorem-proving

  Applied Mathematics
  Mechanics -- Numerical analysis -- Optimization -- Discrete math

  History and Miscellanea
  [History of mathematics]? -- Mathematicians -- Fields Medal -- Fermat's Last Theorem -- [Waring's Problem]? -- The most remarkable formula in the world -- International Mathematical Union -- [K-12 Mathematics]? -- Mathematics Competitions

/Talk

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Last edited August 16, 2001 6:51 pm (diff)
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