The generalization of Shanks' $e$-transformation to double series is discussed and a class of nonlinear transformations, the $\lbrack A/S \rbrack_R$ transformations ...

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 ...

Description: Continuation of differentiation, the mean value theorem and applications, the inverse and implicit function theorems, the Riemann integral, the fundamental theorem of calculus, point-wise ...