## 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.
- 58Axx General theory of differentiable manifolds [See also 32Cxx] (1)
- 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