Advanced Calculus - Fundamentals of Mathematics

Theorems of Vector Calculus

Author(s): Carlos Polanco

Pp: 113-123 (11)

DOI: 10.2174/9789811415081119010014

* (Excluding Mailing and Handling)


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.

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