Chapter 1

Vector Algebra on R2 and R3

Carlos Polanco*

Abstract

In this chapter, we introduce the main operators of Heaviside-Gibbs algebra: addition, subtraction, norm of vectors, as well as inner and cross product. From the point of view of Vector Calculus, we introduce the line and surface integrals, and the Green’s, Stokes’, and Gauss’ Theorems. The last section discusses the extension of this algebra in n-dimensional space. The examples are in plane and space.

Total Pages: 1-13 (13)

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