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Pi Squared over Six

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Author:Clive Tooth
Description: "This value, (pi^2)/6, seems to crop up quite often in mathematics. I think that most of these occurrences can be traced back to the fact that it is the sum of the reciprocals of the squares of the positive integers...." See the first 500 decimal places of this transcendental number; the first 500 terms in the continued fraction; its relation to the Riemann Zeta Function, hyperspheres, and summations; and other trivia.
Levels: College
Languages: English
Math Topics: Transcendental, Higher-Dimensional Geometry, Sequences and Sets

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