The fundamental theorem of geometric calculus via a generalized Riemann integral
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Using recent advances in integration theory, we give a proof of the fundamental theorem of geometric calculus. We assume only that the tangential derivative exists and is Lebesgue integrable. We also give sufficient conditions that exists.
Keywords
Cite
@article{arxiv.math/9807024,
title = {The fundamental theorem of geometric calculus via a generalized Riemann integral},
author = {Alan Macdonald},
journal= {arXiv preprint arXiv:math/9807024},
year = {2007}
}
Comments
To appear in Advances in Applied Clifford Algebras