We present a tensor description of Euclidean spaces that emphasizes the use of geometric vectors which leads to greater geometric insight and a higher degree of organization in analytical expressions.

This chapter discusses line, surface, and volume integrals, and describes the evaluation of these integrals in a particular coordinate system. It first reviews the concept of indefinite and definite ...

Abstract: Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the planets ...