The Basel Problem: A double integral solution
Joe Breen Math
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The Basel Problem: A double integral solution
28 867 просмотров · 6 л. назад
Joe Breen Math
1,91 тыс. подписчиков
28 867 просмотров · 6 л. назад
The Basel problem is an all-time classic math problem. Among all of its solutions, my favorite is based around the computation of a double integral.
Here is a link to the source of this solution: https://www.researchgate.net/publicat.... In fact, using the same technique from the video, one can evaluate the infinite sum of 1/n^(2k) for any (positive integer) k!
A slightly different double integral solution can be found here: https://analysisofmath.wordpress.com/....
Obviously, more reading about the problem can be found here: https://en.wikipedia.org/wiki/Basel_p...