Activities / Library

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)
• 174
  58-06
  Proceedings, conferences, collections, etc.
• 38
  (+58)
  58Axx
  General theory of differentiable manifolds
  [See also 32Cxx]
• 18
  (+45)
  58Bxx
  Infinite-dimensional manifolds
• 18
  (+22)
  58Cxx
  Calculus on manifolds; nonlinear operators
  [See also 46Txx, 47Hxx, 47Jxx]
• 14
  (+15)
  58Dxx
  Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
  [See also 46Txx, 53Cxx]
• 41
  (+73)
  58Exx
  Variational problems in infinite-dimensional spaces
• 7
  (+6)
  58Hxx
  Pseudogroups, differentiable groupoids and general structures on manifolds
• 111
  (+170)
  58Jxx
  Partial differential equations on manifolds; differential operators
  [See also 32Wxx, 35-XX, 53Cxx]
• 34
  (+14)
  58Kxx
  Theory of singularities and catastrophe theory
  [See also 32Sxx, 37-XX]
• (+9)
  58Zxx
  Applications to physics