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Global analysis, analysis on manifolds
{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.
 
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]
58Z05 Applications to physics