The Basel Problem: A double integral solution

Joe Breen Math
Joe Breen Math
22.5 هزار بار بازدید - 4 سال پیش - The Basel problem is an
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...
4 سال پیش در تاریخ 1399/02/06 منتشر شده است.
22,528 بـار بازدید شده
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