Mathematical Sciences Classification System

58-XX - Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see  49Q15}

  • 2
    58-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 77
    58-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 5
    58-02
    Research exposition (monographs, survey articles)
  • 15
    58-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 58-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 173
    58-06
    Proceedings, conferences, collections, etc.
  • 38
    (+54)
    General theory of differentiable manifolds
    [See also 32Cxx]
  • 18
    (+45)
    Infinite-dimensional manifolds
  • 18
    (+22)
    Calculus on manifolds; nonlinear operators
    [See also 46Txx, 47Hxx, 47Jxx]
  • 14
    (+15)
    Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
    [See also 46Txx, 53Cxx]
  • 40
    (+73)
    Variational problems in infinite-dimensional spaces
  • 7
    (+5)
    Pseudogroups, differentiable groupoids and general structures on manifolds
  • 111
    (+168)
    Partial differential equations on manifolds; differential operators
    [See also 32Wxx, 35-XX, 53Cxx]
  • 34
    (+13)
    Theory of singularities and catastrophe theory
    [See also 32Sxx, 37-XX]
  • (+9)
    Applications to physics

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