Take on the hardest quadratic equation ever and put your algebra skills to the test. This challenge pushes problem-solving, ...

Using the group consisting of the eight Möbius transformations x, –x, 1/x, –1/x, (x – 1)/(x + 1), (x + 1)/(1 – x), (x + 1)/(x – 1), and (1 – x)/(x + 1), we present an enumerative proof of the ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...