Mathematical Sciences Classification System

51-XX - Geometry {For algebraic geometry, see 14-XX}

  • 2
    51-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 162
    51-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 5
    51-02
    Research exposition (monographs, survey articles)
  • 85
    51-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 2
    51-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 20
    51-06
    Proceedings, conferences, collections, etc.
  • 14
    (+22)
    Linear incidence geometry
  • 1
    (+7)
    Nonlinear incidence geometry
  • (+1)
    Ring geometry (Hjelmslev, Barbilian, etc.)
  • 1
    (+1)
    Geometric closure systems
  • 21
    (+28)
    Finite geometry and special incidence structures
  • 5
    (+19)
    Metric geometry
  • Ordered geometries (ordered incidence structures, etc.)
  • 5
    (+5)
    Topological geometry
  • (+1)
    Incidence groups
  • 1
    (+3)
    Distance geometry
  • Geometric order structures
    [See also 53C75]
  • 20
    (+83)
    Real and complex geometry
  • 25
    (+39)
    Analytic and descriptive geometry
  • 3
    (+5)
    Geometry and physics (should also be assigned at least one other classification number from Sections 70–86)

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