On the general Stokes formula
type: Item
instance of: scholarly article
title: On the general Stokes formula
zbMATH Open document ID: 0885.58008
author: G. I. Arkhipov
author: V. N. Chubarikov
author: V. A. Sadovnichy
published in: Moscow University Mathematics Bulletin
publication date: 1997-07-13T00:00:00Z
review text: A new proof of the general Stokes formula (gSf) is given. The modern exposition of proofs of various versions of the gSf usually involves applying rather advanced theory of exterior differential forms and integrals of exterior forms over surfaces. This proof of gSf uses essentially the same methods as in the classical proof for dimension three. The main difficulty is constructing the system of necessary concepts (parametrization of a surface, the correlation between the orientations of a surface and its boundary, constructing surfaces by ``glueing'' images of convex sets along the common parts of their boundaries that are oppositely oriented). The proof itself is very simple.
Mathematics Subject Classification ID: 58C35
zbMATH DE Number: 1027893
zbMATH Keywords: general Stokes formula
zbMATH Keywords: elementary proof
reviewed by: G.V.Khmelevskaja-Plotnikova
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1027893