The Inverse of the Complex Squaring Relation
In the case of the squaring function, the inverse relation is the square
root relation z = w1/2, a complicated
surface that appears to intersect itself when it is projected into in
three-space.
The picture we see was first described in the last century by the
mathematician
Bernhard
Riemann,
and it is known today as the Riemann Surface of the Square Root.
