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.
~ 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
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…
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
Future videos will also end up here, so do subscribe if you like what you see.
youtube.com/user/TamasGorbe
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