The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

Representation theory was initially dismissed. Today, it’s central to much of mathematics. When representation theory emerged in the late 19th century, many mathematicians questioned its worth. In ...

Motivated by a proof without words for the sum of the alternating harmonic series, this article delves into some interesting questions regarding a series to which the usual convergence tests do not ...