Re: fundamental theorem of algebra

A couple of mistakes. I wrote:

I really doubt those authors were unaware of the topological proof of the fundamental theorem of calculus in 1987.

I meant "fundamental theorem of algebra".

Gauss argues that far from the origin, S and T are smooth curves. Because the leading term of the polynomial dominates the rest, each of these curves intersects any sufficiently large circle transversely at n points.

Should be: any sufficiently large circle centered at the origin. Best, jb