Abstract
Jean Mawhin has proved a version of Stokes' theorem on a cube using a generalized Riemann integral. We give a new, much simpler, and intuitive proof of his theorem using the integral definition of the exterior derivative.
Citation
Alan Macdonald. "Stokesʼ Theorem." Real Anal. Exchange 27 (2) 739 - 748, 2001/2002.
Information
Published: 2001/2002
First available in Project Euclid: 2 June 2008
zbMATH: 1059.26008
MathSciNet: MR1923163
Subjects:
Primary:
28A99
,
58C35
Keywords:
gauge integral
,
generalized Riemann integral
,
Stokes' theorem
Rights: Copyright © 2001 Michigan State University Press