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Basel problem

    From Wiktionary, the free dictionary

    English

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    Etymology

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    Named after Basel, the home town of Euler and of the Bernoulli family who unsuccessfully attacked the problem.

    Proper noun

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    Baselproblem

    1. (mathematics) Thequestion as to thevalue ofn=11n2{\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n^{2}}}}, thesum of thereciprocals of thesquares of thepositiveintegers.
      • 1999, William Dunham,Euler: The Master of Us All, Mathematical Association of America,→ISBN, page55:
        As noted, some of Euler's contemporaries, while accepting his answer to theBasel Problem, wondered about the validity of the argument that got him there.
      • 2005, Rajendra Bhatia,Fourier Series, Mathematical Association of America,→ISBN, section 3.10, page 75:
        Solvingthe Basel problem was one of the early triumphs of L. Euler (1707–1783)... .
      • 2007, Charles Edward Sandifer,The Early Mathematics of Leonhard Euler, Mathematical Association of America,→ISBN, page165:
        And so ends one of Euler's most famous papers. We see that Euler actually solves theBasel problem three times and that he does much more.
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