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Basel problem

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English Etymology Named after Basel, the home town of Euler and of the Bernoulli family who unsuccessfully attacked the problem. Proper noun en mathematics The question as to the value of , the sum of the reciprocals of the squares of the positive integers. en 1999 William Dunham Euler: The Master of Us All Mathematical Association of America 0883853280 55 As noted, some of Euler's contemporaries, while accepting his answer to the Basel Problem, wondered about the validity of the argument that got him there. en 2005 Rajendra Bhatia Fourier Series Mathematical Association of America 0883857405 section 3.10, page 75 Solving the Basel problem was one of the early triumphs of L. Euler (1707–1783)... . en 2007 Charles Edward Sandifer The Early Mathematics of Leonhard Euler 165 Mathematical Association of America 0883855593 And so ends one of Euler's most famous papers. We see that Euler actually solves the Basel problem three times and that he does much more.