40-01 Instructional exposition (textbooks, tutorial papers, etc.)

40-02 Research exposition (monographs, survey articles)

40-03 Historical (must also be assigned at least one classification number from Section 01)

40-04 Explicit machine computation and programs (not the theory of computation or programming)

40-06 Proceedings, conferences, collections, etc.

40Axx Convergence and divergence of infinite limiting processes

40A05 Convergence and divergence of series and sequences

40A10 Convergence and divergence of integrals

40A15 Convergence and divergence of continued fractions [See also <a href="#code:30B70">30B70</a>]

40A20 Convergence and divergence of infinite products

40A25 Approximation to limiting values (summation of series, etc.) {For the Euler-Maclaurin summation formula, see <a href="#code:65B15">65B15</a>}

40A30 Convergence and divergence of series and sequences of functions

40A35 Ideal and statistical convergence [See also <a href="#code:40G15">40G15</a>]

40A99 None of the above, but in this section

40B05 Multiple sequences and series (should also be assigned at least one other classification number in this section)

40B99 None of the above, but in this section

40C15 Function-theoretic methods (including power series methods and semicontinuous methods)

40C99 None of the above, but in this section

40D10 Tauberian constants and oscillation limits

40D15 Convergence factors and summability factors

40D20 Summability and bounded fields of methods

40D25 Inclusion and equivalence theorems

40D99 None of the above, but in this section

40E99 None of the above, but in this section

40Fxx Absolute and strong summability (should also be assigned at least one other classification number in Section 40)

40F05 Absolute and strong summability (should also be assigned at least one other classification number in Section 40)

40F99 None of the above, but in this section

40G05 Cesàro, Euler, Nörlund and Hausdorff methods

40G10 Abel, Borel and power series methods

40G15 Summability methods using statistical convergence [See also <a href="#code:40A35">40A35</a>]