Advanced Calculus - Fundamentals of Mathematics

Theorems of Differential Forms

Author(s): Carlos Polanco

Pp: 139-148 (10)

DOI: 10.2174/9789811415081119010016

* (Excluding Mailing and Handling)


This chapter reviews the main aspects of the Differential forms and their application to facilitate the resolution of the integrals involved in Green’s theorem, Stokes’ theorem, and Gauss’ theorem.

Keywords: 0-form, 1-form, 2-form, 3-form, , Exterior product, Exterior derivative, Geometric algebra, Grassmann algebra, Gauss’ theorem, Green’s theorem, Differential forms, Differentiation, Line integral, Oriented curve, Stokes’ theorem, Surface integral.

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