- Tytuł:
- Two proofs of Stokes’ theorem in new clothes
- Autorzy:
-
Maciuk, Arkadiusz
Smoluk, Antoni - Powiązania:
- https://bibliotekanauki.pl/articles/421369.pdf
- Data publikacji:
- 2015
- Wydawca:
- Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
- Tematy:
-
Stokes’ theorem
Sacała’s column
additivity of integration - Opis:
- 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.
- Źródło:
-
Didactics of Mathematics; 2015, 12(16); 85-92
1733-7941 - Pojawia się w:
- Didactics of Mathematics
- Dostawca treści:
- Biblioteka Nauki
Artykuł