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 ...

We introduce the D-resultant of two polynomials in one variable and show how it can be used to decide if k(f(t), g(t)) = k(t), k[ f(t), g(t)] = k[ t] and to find the singularities of the curve x = f(t ...

Last month, we clarified the definition of a vector and showed you how vectors are added, subtracted, multiplied, and divided. This month, we'll see how to use vectors in defining a complex circuit ...