The journal Rendiconti dell’Istituto di Matematica dell’università di Trieste publishes original articles in all areas of mathematics. Special regard is given to research papers, but attractive expository papers may also be considered for publication.
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(Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 1991)
Pfeffer, Washek F.
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.