| 31-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) |
| 31-01 | Instructional exposition (textbooks, tutorial papers, etc.) |
| 31-02 | Research exposition (monographs, survey articles) |
| 31-03 | Historical (must also be assigned at least one classification number from Section 01) |
| 31-04 | Explicit machine computation and programs (not the theory of computation or programming) |
| 31-06 | Proceedings, conferences, collections, etc. |
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| 31Axx | Two-dimensional theory |
| 31Bxx | Higher-dimensional theory |
| 31Cxx | Other generalizations |
| 31D05 | Axiomatic potential theory |