Geodesic
A Parametric Gauss-Green Theorem in Several Variables
Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 156-165

Voir la notice de l'article provenant de la source Cambridge University Press

We present a short, computational proof of the parametric Gauss-Green theorem for a broad class of closed chains. The proof involves only measure theory and the basic theory of differential forms: in particular, no constructions from topology are used. For completeness, the standard properties of winding numbers are also established by methods from analysis.
DOI : 10.4153/CMB-1989-023-x
Mots-clés : 26B20 
Ortel, M.; Schneider, W. A Parametric Gauss-Green Theorem in Several Variables. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 156-165. doi: 10.4153/CMB-1989-023-x
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