E71 -- De fractionibus continuis dissertatio
(A dissertation on continued fractions)
Summary:
According to the records, it was presented to the St. Petersburg Academy on March 7, 1737.
Publication:
- Originally published in Commentarii academiae scientiarum Petropolitanae 9, 1744, pp. 98-137
- Opera Omnia: Series 1, Volume 14, pp. 187 - 216
- B. F. Wyman and M. F. Wyman have translated E71 in full. Their translation is published in
Mathematical Systems Theory, No. 18, Vol. 4, 1985.
- According to Eneström, A handwritten French translation of this treatise can be found in the library of the observatory in
Uccle, near Brussels.
Documents Available:
- Original publication: E071
(in the Commentarii)
- B. F. Wyman and M. F. Wyman's translation of E71 is available electronically via the Ohio State University library: E71.
- German translation (Alexander Aycock and Arseny Skryagin): E71
- The Euler Archive attempts to monitor current scholarship for articles and books that may be of interest to Euler Scholars. Selected references we have found that discuss or cite E71 include:
- Calinger R., “Leonhard Euler: The first St Petersburg years (1727-1741).” Historia Mathematica, 23 (2), pp. 121-166 (May 1996).
- Dudley RM., “Some inequalities for continued fractions.” Mathematics of Computation, 49 (180), pp. 585-593 (Oct 1987).
- Sandifer E., "Euler and Pell." How Euler Did It. (Published online
by the MAA.)
- Sandifer E., "Who proved e is irrational?." How Euler Did It. (Published online
by the MAA.)
- Stambul P., “A generalization of Perron's theorem about Hurwitzian numbers.” Acta Arithmetica, 80 (2), pp. 141-148 (1997).
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