Uintell Mathematics Encyclopedia

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.