1/1² + 1/2² + 1/3² + ... = π²/6
~ a fluid dynamics proof ~
The complex function
f(z) = cot(πz)/2z²
gives rise to a fluid flow such that the conservation of mass yields the solution of the Basel problem.
YouTube link
Happy
√(6/1+6/4+6/9+...)
Day!
#PiDay
If you’d like to see more of these surprising connections between mathematics and physics, Mark Levi’s book “The Mathematical Mechanic” is an excellent source.
press.princeton.edu/books/paperbac…
Here’s my YouTube channel where you can watch the maths videos I made.
Future videos will also end up here, so do subscribe if you like what you see.
youtube.com/user/TamasGorbe
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