The fundamental theorem of geometric calculus via a generalized Riemann integral
Abstract
Description
Using 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.
To appear in Advances in Applied Clifford Algebras
To appear in Advances in Applied Clifford Algebras