## Absolute Convergence

A Series is said to Converge absolutely if the Series Converges, where denotes the Absolute Value. If a Series is absolutely convergent, then the sum is independent of the order in which terms are summed. Furthermore, if the Series is multiplied by another absolutely convergent series, the product series will also converge absolutely.

Bromwich, T. J. I'a and MacRobert, T. M. Absolute Convergence.'' Ch. 4 in An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea, pp. 69-77, 1991.