Just a quick follow-up on this thread: for my numerics class at MIT
<http://math.mit.edu/~stevenj/18.335/>, I put together a little Julia
notebook on the Wilkinson polynomial, along with a little tutorial on how
to define a basic polynomial type (although pointing to Polynomials.jl for
a more serious version) and some fun with root-finding:
http://nbviewer.ipython.org/url/math.mit.edu/~stevenj/18.335/Wilkinson-Polynomial.ipynb
Hopefully it is helpful to someone.
I agree that the Polynomials vs. Polynomial etc. situation needs a bit of
loving care.
