A scholar from Kenyon College, Professor of Mathematics Carol Schumacher, is coming to Bates to give two back-to-back talks ...

We combine a "global" version of the classical inverse function theorem with Schauder's fixed point theorem to investigate the existence and continuity properties of a function $(F, x) \rightarrow ...

The main goal of the paper is to obtain explicit integral representations of implicit functions whose existence is guaranteed by the implicit function theory. We derive the mentioned representation ...