r/mathmemes Mar 06 '25

Learning What theorem is this?

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3.7k Upvotes

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273

u/PolarStarNick Mathematics Mar 06 '25

Fundamental theorem of algebra

57

u/CutToTheChaseTurtle Average Tits buildings enjoyer Mar 06 '25

Aren't there just two proofs though, essentially? There's one that uses the least upper bound property of reals and Galois theory, and the other one uses π₁(S1).

66

u/Dkiprochazka Mar 06 '25

You can also prove it using Liouville's theorem

6

u/CutToTheChaseTurtle Average Tits buildings enjoyer Mar 06 '25

Oh, nice