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

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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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     title = {A {Parametric} {Gauss-Green} {Theorem} in {Several} {Variables}},
     journal = {Canadian mathematical bulletin},
     pages = {156--165},
     year = {1989},
     volume = {32},
     number = {2},
     doi = {10.4153/CMB-1989-023-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-023-x/}
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