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

  • 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.
  • 58Axx General theory of differentiable manifolds [See also 32Cxx]
  • 58Bxx Infinite-dimensional manifolds
  • 58Cxx Calculus on manifolds; nonlinear operators [See also 46Txx, 47Hxx, 47Jxx]
  • 58Dxx Spaces and manifolds of mappings (including nonlinear versions of 46Exx) [See also 46Txx, 53Cxx]
  • 58Exx Variational problems in infinite-dimensional spaces
  • 58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds
  • 58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx]
  • 58Kxx Theory of singularities and catastrophe theory [See also 32Sxx, 37-XX]
  • 58Zxx Applications to physics