From Vector Analysis to Differential Forms

Details From Vector Analysis to Differential Forms From Vector Analysis to Differential Forms

2008-11-17

arxiv.org/abs/0811.2660v4

Physics

Mathematical Physics

Scientific paper

In our previous paper [International Journal of Theoretical Physics, 41 (2002), 1165-1190] we have shown, following the tradition of synthetic differential geometry, that div and rot are uniquely determined, so long as we require that the divergence theorem and the Stokes theorem should hold on the infinitesimal level. In this paper we will simplify the discussion considerably in terms of differential forms, leading to the natural derivation of exterior differentiation in the usual form.

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