Terms
Divergence

A property of a vector field that measures its tendency to move away from a
given point.
Curl

A property of a vector field that indicates the amount and direction of
rotational motion in the field.
Formula
The divergence of a vector field


Gauss' Theorem

Mathematical equation relating volume and surface integrals using the
divergence of a given function:
F
·da = div Fdv 
The curl of a vector field
 curl F
=  ,  ,  
Stokes' Theorem

Mathematical equation relating line and surface integrals using the curl of
a given function: F
·ds = curl F
·da 
Equation for the line integral of a closed loop in a magnetic field
 B·ds = 
Equation for the curl of any magnetic field

curl B = 
Equation for the divergence of any magnetic field

div B = 0 