| 51-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) |
| 51-01 | Instructional exposition (textbooks, tutorial papers, etc.) |
| 51-02 | Research exposition (monographs, survey articles) |
| 51-03 | Historical (must also be assigned at least one classification number from Section 01) |
| 51-04 | Explicit machine computation and programs (not the theory of computation or programming) |
| 51-06 | Proceedings, conferences, collections, etc. |
|
|
| 51Axx | Linear incidence geometry |
| 51Bxx | Nonlinear incidence geometry |
| 51C05 | Ring geometry (Hjelmslev, Barbilian, etc.) |
| 51Dxx | Geometric closure systems |
| 51Exx | Finite geometry and special incidence structures |
| 51Fxx | Metric geometry |
| 51G05 | Ordered geometries (ordered incidence structures, etc.) |
| 51Hxx | Topological geometry |
| 51Jxx | Incidence groups |
| 51Kxx | Distance geometry |
| 51Lxx | Geometric order structures
[See also 53C75] |
| 51Mxx | Real and complex geometry |
| 51Nxx | Analytic and descriptive geometry |
| 51P05 | Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) |
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