Euler Solution to the Basel Problem

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SUMMARY

The forum discussion centers on Euler's solution to the Basel Problem, specifically referencing a document available at the Euler Archive. The original document is in Latin, with additional translations in German and French, which poses a barrier for some readers. Ian Bruce has provided a translation and transcription of Euler's work, specifically labeled as "E041," accessible through his page on Mathematical Works of the 17th Century. This translation is crucial for those interested in understanding Euler's proof and its implications.

PREREQUISITES
  • Familiarity with the Basel Problem and its significance in mathematics.
  • Understanding of Euler's contributions to mathematical analysis.
  • Basic knowledge of Latin, German, or French for original document comprehension.
  • Access to online mathematical archives, such as the Euler Archive.
NEXT STEPS
  • Research Euler's original work on the Basel Problem and its historical context.
  • Explore Ian Bruce's translation of Euler's work, specifically "E041."
  • Study the mathematical implications of the Basel Problem in modern analysis.
  • Investigate other translations of historical mathematical documents for broader understanding.
USEFUL FOR

Mathematicians, historians of mathematics, and students interested in classical proofs and their translations will benefit from this discussion.

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I found what looks like an interesting document on a solution to the Basel Problem by Euler.

http://eulerarchive.maa.org/pages/E063.html

What stinks is that the document is in German and French(I think) so I can't read it apart from the math. I can't seem to find a translated copy of this document which stinks even more. I'm not usually a proofy type of person but I'd love to read what this document actually says.
 
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The page you linked to says "Ian Bruce has made both a translation and transcription of E41 available at his page Mathematical Works of the 17th Century", and indeed if you follow the link on that page it does indeed link to a translation of this paper (labelled "E041").

The original is in Latin.
 

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