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 ...

Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and ...

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 ...

Calculus of functions of several variables. Differentiation; partial derivatives of implicit and explicit functions, applications including optimizations. Integration; multiple integrals in various co ...

ABSTRACT: 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 ...