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nhigham.com
| | g-w1.github.io
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| | A proof about roses? Who would have thought!
| | www.jeremykun.com
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| | This proof assumes knowledge of complex analysis, specifically the notions of analytic functions and Liouville's Theorem (which we will state below). The fundamental theorem of algebra has quite a few number of proofs (enough to fill a book!). In fact, it seems a new tool in mathematics can prove its worth by being able to prove the fundamental theorem in a different way. This series of proofs of the fundamental theorem also highlights how in mathematics there are many many ways to prove a single theorem...
| | mattbaker.blog
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| | In my previous post, I presented a proof of the existence portion of the structure theorem for finitely generated modules over a PID based on the Smith Normal Form of a matrix. In this post, I'd like to explain how the uniqueness portion of that theorem is actually a special case of a more general...
| | www.3blue1brown.com
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| What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.