Recommended books that discuss the Fundamental Theorem of Algebra? I've been assigned to do a project on the Fundamental Theorem of Algebra and in particular discuss it's proofs and applications. I was wondering if anyone could recommend books that would aid me in my research? I've searched online and while Wikipedia and other websites are helpful, I feel books would be more helpful in my understanding and research? 
Thanks  
 A: Stein & Shakarchi's Complex Analysis has a proof of the FTA as a consequence of Liouville's Theorem.
A: The book The Fundamental Theorem of Algebra by Fine and Rosenberger contains eight proofs with an exposition of the mathematics needed for each proof. Very nice and instructive.
A: Do watch this 15 minute video. I don't think it is a self standing proof but does offer a somewhat different perspective on things.
https://www.youtube.com/watch?v=shEk8sz1oOw
(P.S. I'd be interested in a reference that does complete a rigorous proof along these lines: I'd anticipate something topological concerning the shrinking of a complex contour).
A: The lovely book Numbers by Ebbinghaus et al. may be of interest to you. It has a chapter dedicated to the fundamental theorem of algebra. Among many other interesting things, the chapter has an appendix giving Laplace's proof that was vilified by Gauss, but is quite acceptable by modern standards.
A: Lang's Algebra book has a nice proof using Galois theory, which he attributes to Artin.
