Euler's original proof for referencepic.twitter.com/9UZUnYkyVX
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Was playing around with Fourier series, and found an alternative solution to Euler's Basel problem
∑ 1/n² = π²/6pic.twitter.com/tViTmJIXlL
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What is/are the other solution(s)?
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I added the original proof to the thread
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The Fourier series method of proving ∑ 1/n² = π²/6 is a standard way to tell math grad students "Look! Fourier series are good for more than just differential equations!"
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hahah darn! well the pleasure is in the process anyhow.. I believe some hack named Gauss said that
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Did you know about the first 'scratch' proof of Euler?https://twitter.com/74WTungsteno/status/1103394192406003712?s=20 …
Euler's approach to Basel Problem at a glance
#math#science#iteachmath#mtbos#visualization#elearning pic.twitter.com/fnr4uu5wPQ -
indeed I wrote a tweet about it!https://twitter.com/InertialObservr/status/1082487078913433600?s=20 …
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Have you seen Calabi's proof? I demonstrate it in my latest video https://youtu.be/6TmrMhFa4eE You integrate (1-(xy)^2)^(-1) over a box in two different ways!
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All this is, of course, merely the tip of a vast iceberg, which, though glimpsed repeatedly by many intrepid explorers since the days of Fourier himself, took hundreds of years to take clear and illuminating shape; these days, it is called the Langlands program.
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