English

The Exterior Derivative - A direct approach

General Mathematics 2018-08-30 v1

Abstract

In this note we provide a direct approach to the most basic operator in this theory namely the exterior derivative. The crucial ingredient is a calculus lemma based on determinants. We maintain the view that in a first course at least this direct approach is preferable to the more abstract one based on characterization of the exterior derivative in terms of its properties.

Keywords

Cite

@article{arxiv.1808.09627,
  title  = {The Exterior Derivative - A direct approach},
  author = {Gopala Krishna Srinivasan},
  journal= {arXiv preprint arXiv:1808.09627},
  year   = {2018}
}
R2 v1 2026-06-23T03:47:26.073Z