The Basel Problem: finding the sum of the reciprocals of the squares
A famous theorem by Leonhard Euler, possibly the greatest, most prolific and creative mathematician ever. In 1735 Euler proved that the sum of the reciprocal squares is π^2/6, a remarkable result that continues to inspire awe. If you remember a smidgen about Taylor series and some basic ideas in precalculus you can follow in Euler's footsteps!
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Euler's real identity NOT e to the i pi = -1
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The Basel Problem: A double integral solution
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Square Root of 2, Newton's method vs Euler's method
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The Basel Problem and Euler's proof
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The Trig Hiding Inside the Factorials (And Harmonic Numbers)
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Has an AI discovered new maths?
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Euler’s Pi Prime Product and Riemann’s Zeta Function
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Cauchy's Proof of the Basel Problem | Pi Squared Over Six (3blue1brown SoME1 Entry)
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The geometric series 1+x+x^2+x^3+...
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We're 99.9% sure this pattern is true, but no one can prove it
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2081681993819799846994786333448627702865224538845305484256394568209274196127380153785256484516 (etc)
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This trick from Euler was ingenious
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Incredible Proof for the BASEL PROBLEM by Greek-American mathematician Tom Apostol
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Ramanujan's favorite coincidence (it's not a coincidence)
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The Basel Problem
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a spectacular solution to 1+1/2^2+1/3^2+... (Basel problem)
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The History of the Natural Logarithm - How was it discovered?
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Euler's brilliant solution to the Basel problem vs Cauchy's cool residue theorem approach
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The Strangest Things that Correlate with IQ
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