Module 15 :  Vector fields, Gradient, Divergence and Curl
Lecture 44 :  Gradient Divergence and Curl [Section 44.1]
44 .1 Divergence of a vector field
44.1.1 Definition
 

Let be a differentiable vector-field with components Then, the scalar field

defined by

is called the divergence of the vector-field

44.1.2 Example
(i)
 Divergence of an inverse square vector-field:
 

Let

Then,

where

1
2