Abstract

This chapter discusses products of vectors and presents the properties of scalar product and vector product, followed by the differentiation of vectors. It also discusses the operators like grad, div, and curl. In addition, solenoidal fields, orthogonal curvilinear coordinates, and vector integral theorems are briefed. Vector integral theorems include Gauss's divergence theorem, Green's theorems, Green's reciprocal theorem, Green's representation theorem, Green's theorem of the arithmetic mean, Poisson's integral in three dimensions, Poisson's integral in two dimensions, Stokes' theorem, and Planar case of Stokes' theorem.

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