Advanced Calculus  Fundamentals of Mathematics

Advanced Calculus Fundamentals of Mathematics

Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and ...
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Theorems of Differential Forms

Pp. 139-148 (10)

Carlos Polanco

Abstract

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.

Affiliation:

Department of Mathematics Faculty of Sciences Universidad Nacional Autónoma de México México City México.