Sir, I disagree. You are the one that is extremely kind.
From where I'm at, many years of experience in math, CS and Maple is indistinguishable from astonishing genius.
A bit of magic that blew me away was given to me by Robert Israel. It plots the phase of a complex functions, F(x), that I was interested in. Here is Robert's Matlab:
de := diff(a(x), x) = 180*evalc(Im((diff(F(x), x))/F(x)))/Pi:
DEtools[DEplot](de, a(x), x = -.1 .. 2, [a(1) = 180*argument(F(1))/Pi], linecolour = black, arrows = none, axes = boxed)
I didn't know that what I wanted was a function, a(x), that is the imaginary part of the natural log of F(x). I also had no idea how to get a(x). That is way way cool!
Arthur C. Clark's third law: Any sufficiently advanced technology is indistinguishable from magic.
I will reply to Will to see if he can work some magic.