Basel problem - Wikipedia
https://en.wikipedia.org/wiki/Basel_problem
The Basel problem is a problem in mathematical analysis with relevance to number theory, first ... PI constant.svg ... The problem is named after Basel, hometown of Euler as well as of the Bernoulli family .... Multiplying through both sides of this equation by −π2 gives the sum of the reciprocals of the positive square integers.
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[PDF]∑ 1/k = π 2/6
www.cs.nthu.edu.tw/~wkhon/random/tutorial/pi-squared-over-six.pdf
Mar 28, 2007 - Leonard Euler (1707–1783) gave a “proof” that I = π2/6 in 1734. In fact, he ... term = −1/6. On the other hand, .... Webpage: Pi Squared Over Six.Pi-Squared Over 6 and the Algebraic Genius of Euler - Part I - YouTube
https://www.youtube.com/watch?v=XfGesUai7Fs
Mar 24, 2010 - Uploaded by Dave Marain
This is Part I of a 2-part video demonstrating Euler's derivation of a remarkable formula involving pi. This ...[PDF]How Euler found the sum of reciprocal squares - Purdue Math
https://www.math.purdue.edu/~eremenko/dvi/euler.pdf
Nov 5, 2013 - We know (and Euler knew) that this series converges for all values of z. .... Cn a disc or a square centered at the origin which contains integers ...
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