Lectures on geometric integration and the divergence theorem

Abstract

In these lectures I shall present some geometric aspects of the generalized Riemann integral, defined by Henstock and Kurzweil about thirty years ago. In particular, I shall discuss in considerable detail the develop¬ment of ideas that led to a multidimensional version of the integral, which is coordinate free and provides the divcigence theorem for nonlipschitzian vector fields. No a priori knowledge of the subject is assumed