An article co-authored by Robert Kantrowitz ’82, professor and chair of mathematics, appears in the September 2012 issue of College Mathematics Journal, a publication of the Mathematical Association of America.
In the paper, “Series that converge absolutely but don’t converge,” Kantrowitz and co-author Michael Schramm of LeMoyne College emphasize the necessity of the completeness of the real numbers in the proof of a classical result about infinite series. They provide several examples that illustrate the failure of the theorem in the absence of completeness. In the construction of the examples, other concepts from real analysis emerge, including a cameo appearance by the Cantor set.
