Exterior Calculus: Theory and Cases


Author(s): Carlos Polanco *

Pp: 73-81 (9)

DOI: 10.2174/9789814998789121010012

* (Excluding Mailing and Handling)


This chapter intends to be a survey on the integration of differential forms. Here, the 0−Form, 1−Form, 2−Form, 3−Form and k−Form integrals are defined. These forms are reviewed using mapping, in particular, the cases that give rise to Simple Riemann integral, Double Riemann integral, Triple Riemann Integral, and the Line and Surface integrals. The latter two are defined in (Chap. 1), using Heaviside-Gibbs algebra.

Keywords: Double Riemann integral case, integral of 2−Form, integral of 3−Form, integration of 0−Form, integration of 1−Form, integration of k−Form, line integral, mapping a 1−Form case, mapping a 2−Form case, mapping a 3−Form case, simple Riemann integral case, surface integral, triple Riemann integral case

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