The fundamental theorem of geometric calculus via a generalized Riemann integral

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dc.creatorMacdonald, Alan
dc.date1998-07-06
dc.date.accessioned2026-07-07T05:25:17Z
dc.date.available2026-07-07T05:25:17Z
dc.descriptionUsing recent advances in integration theory, we give a proof of the fundamental theorem of geometric calculus. We assume only that the tangential derivative $\nabla_VF$ exists and is Lebesgue integrable. We also give sufficient conditions that $\nabla_VF$ exists.
dc.descriptionTo appear in Advances in Applied Clifford Algebras
dc.identifierhttps://arxiv.org/abs/math/9807024
dc.identifierhttp://arxiv.org/abs/math/9807024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77124
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58C35
dc.titleThe fundamental theorem of geometric calculus via a generalized Riemann integral
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