Oh, but there's so much more! Gauss devised Gauss' Theorem
in vector calculus
, which says the integral
of a vector
field over a volume is equal to the integral of the outward flowing normal component of the vector field over the surface area enclosing the volume, it's application to electrostatics
, Gauss' Law
, which says the electric field
normal to the surfaces of an enclosed area is equal to the total charge in that area, the Gaussian Distribution
, which is the 'natural' and easiest to work with probability
distribution, and Gauss' Formula
, which gives a quick formula for summing all of the integer
s in a given interval.
Regarding the latter, by far the most mundane of these discoveries, there is an interesting story. When Gauss was a small boy his mathematics teacher decided to punish him and his rowdy classmates by making them add all the numbers from 1 to 100. A minute later the young Gauss said 'finished!' The teacher was stunned. While all the other students were busy with long columns of addition, Gauss had given the problem some thought and come up with his formula. He was obviously gifted.