@misc{Maciuk_Arkadiusz_Two_2015,
author={Maciuk, Arkadiusz and Smoluk, Antoni},
identifier={DOI: 10.15611/dm.2015.12.09},
year={2015},
rights={Pewne prawa zastrzeżone na rzecz Autorów i Wydawcy},
publisher={Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu},
description={Didactics of Mathematics, 2015, Nr 12 (16), s. 85-92},
language={eng},
abstract={The paper presents two proofs of Stokes’ theorem that are intuitively simple and clear. A manifold, on which a differential form is defined, is reduced to a three-dimensional cube, as extending to other dimensions is straightforward. The first proof reduces the integral over a manifold to the integral over a boundary, while the second proof extends the integral over a boundary to the integral over a manifold. A new idea consists in the definition of Sacała’s line that inspired the authors to taking a different look at the proof of Stokes’ theorem.},
type={artykuł},
title={Two proofs of Stokes’ theorem in new clothes},
keywords={Stokes’ theorem, Sacała’s column, additivity of integration},
}