58-XX | 57 | Top | 60 |
| 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 |