To celebrate #PiDay we solve the Basel Problem – that the sum of reciprocals of square naturals is pi^2/6 – using techniques from Fourier Analysis, in particular Parseval’s Identity, which is a sort of infinite dimensional analog of Pythagoras.

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0:00 The Basel Problem
1:06 Fourier Series Refresher
3:22 Parseval’s Identity
5:13 Inner Products & Generalized Pythagoras
9:46 The proof that n^2/6=1/1+1/4+1/9…

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►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
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