Proof of The Fundamental Theorem of Algebra (via complex analysis)

Here is a very beautiful proof of The Fundamental Theorem of Algebra (probably one of the most beautiful theorems in all of mathematics), recently written by myself for an analysis course.

The proof utilizes some very famous machinery from complex analysis including: counting integrals (also demonstrated for the case of polynomials), Cauchy’s integral formula, winding numbers, Jordan’s Lemma, et al. .. and is probably one of the more interesting proofs that I’ve ever seen of the very famous theorem.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

w

Connecting to %s