A proof that Euler missed: Evaluating \(\zeta\) (2) the easy way (Q793070)
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scientific article; zbMATH DE number 3855198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A proof that Euler missed: Evaluating \(\zeta\) (2) the easy way |
scientific article; zbMATH DE number 3855198 |
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A proof that Euler missed: Evaluating \(\zeta\) (2) the easy way (English)
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1983
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The author proves Euler's identity \(\sum^{\infty}_{n=1}n^{- 2}=\pi^ 2/6\) by simply evaluating a certain double integral in two different ways. Contrary to the more standard proofs this approach can be presented in a course in elementary calculus.
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zeta (2)
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summation of series
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Euler's identity
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