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 Vector Calculus

Pp. 113-123 (11)

Carlos Polanco

Abstract

This chapter reviews the theorems of Vector Calculus: Green’s theorem, Stokes’ theorem, and Gauss’ theorem. The approach will be done using mappings, to show the operative simplification that can be obtained.

Keywords:

Closed counter-clockwise orientation boundary, Counter-clockwise direction, Double integral, Bounded region, Gauss’ theorem, Green’s theorem, integral theorems, Maps, Normal vector, Parameterization of a curve, Stokes’ theorem, Triple integral, Vector valued-function, Volume bounded.

Affiliation:

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