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Words, grammatical forms and meanings linked to the ontology.

Basel problem en · PROPN

Etymology

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

Meanings

  1. The question as to the value of ∑ₙ₌₁ ᪲1/(n²), the sum of the reciprocals of the squares of the positive integers.
    • Solving the Basel problem was one of the early triumphs of L. Euler (1707–1783)... . 2005, Rajendra Bhatia, Fourier Series, Mathematical Association of America, →ISBN, section 3.10, page 75:
    • 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. 1999, William Dunham, Euler: The Master of Us All, Mathematical Association of America, →ISBN, page 55:
    • 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. 2007, Charles Edward Sandifer, The Early Mathematics of Leonhard Euler, Mathematical Association of America, →ISBN, page 165: