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}

  • 58-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 58-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 58-02
    Research exposition (monographs, survey articles)
  • 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)
  • 58-06
    Proceedings, conferences, collections, etc.
  • General theory of differentiable manifolds
    [See also 32Cxx]
  • Infinite-dimensional manifolds
  • Calculus on manifolds; nonlinear operators
    [See also 46Txx, 47Hxx, 47Jxx]
  • Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
    [See also 46Txx, 53Cxx]
  • Variational problems in infinite-dimensional spaces
  • Pseudogroups, differentiable groupoids and general structures on manifolds
  • Partial differential equations on manifolds; differential operators
    [See also 32Wxx, 35-XX, 53Cxx]
  • Theory of singularities and catastrophe theory
    [See also 32Sxx, 37-XX]
  • Applications to physics

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek