Renato Caccioppoli and geometric measure theory
type: Item
instance of: scholarly article
title: Renato Caccioppoli and geometric measure theory
zbMATH Open document ID: 0793.01016
published in: Ricerche di Matematica
publication date: 1994-03-27T00:00:00Z
review text: The author's study represents another contribution to the generous initiative of making better known to the world of science the impressive personality of Renato Caccioppoli. The author makes mention of the Congress of the Italian Mathematical Union, held in Taormina, in 1951, and of the new ideas Caccioppoli put forward on that occasion, regarding a new general theory of a \(k\)-dimensional integration in an \(n\)- dimensional space representing a definite extension of the integral theorems in differential forms (the Gauss-Stoke formulae). Also in Taormina, Caccioppoli criticised the directions along which the development of science was advancing. Interesting considerations are also made on the ideas of De Giorgi, as to Caccioppoli's demonstrations.
reviewed by: Cristina Irimia
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 28-03
zbMATH DE Number: 510081
zbMATH Keywords: de Georgi
zbMATH Keywords: integration
zbMATH Keywords: differential forms
zbMATH Keywords: Gauss-Stoke formulae
author: Mario J. Miranda
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 510081