# Summation

From Encyclopedia of Mathematics

*of series, sequences, integrals*

The calculation of, respectively, the sums of series, the limits of sequences, and the values of integrals. The term "summation" also signifies the actual definition of the sum of a series (limit of a sequence, value of an integral), where in the usual definition these values do not exist, i.e. the series (sequence, integral) diverges. Such a definition is usually given in the form of a rule, and is called a summation method of series (sequences, integrals), cf. Summation methods.

**How to Cite This Entry:**

Summation. I.I. Volkov (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Summation&oldid=16739

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098