E44 -- De infinitis curvis eiusdem generis seu methodus inveniendi aequationes pro infinitis curvis eiusdem generis
(On infinite(ly many) curves of the same type, that is, a method of finding equations for infinite(ly many) curves of the same type)
Summary:
It was probably presented to
the St. Petersburg Academy before July 12, 1734.
Publication:
-
Originally published in Commentarii academiae scientiarum Petropolitanae 7, 1740, pp. 174-189
-
Opera Omnia: Series 1, Volume 22, pp. 36 - 56
- Reprinted in Comment. acad. sc. Petrop. 7, ed. nova, Bononiae 1748, pp. 161-179 [E44a]
Documents Available:
- Original publication: E044 (in the Commentarii)
- Ian Bruce has made both a
translation and transcription of E44 available at his page
Mathematical Works of the 17th Century.
- 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 E44 include:
- Deakin Mab., “Euler invention of integral-transforms.” Archive for History of Exact Sciences, 33 (4), pp. 307-319 (1985).
- Ferraro G., “Differentials and differential coefficients in the Eulerian foundations of the calculus.” Historia Mathematica, 31 (1), pp. 34-61 (Feb 2004).
- Fraser C., “Lagrange, J. L. changing approach to the foundations of the calculus of variations.” Archive for History of Exact Sciences, 32 (2), pp. 151-191 (1985).
- Fraser CG., “The calculus as algebraic analysis - some observations on mathematical-analysis in the 18th-century.” Archive for History of Exact Sciences, 39 (4), pp. 317-335 (1989).
- Greenberg JL., “Fontaine, Alexis Fluxio-differential method and the origins of the calculus of several-variables.” Annals of Science, 38 (3), pp. 251-290 (1981).
- Katz VJ., “The calculus of the trigonometric functions.” Historia Mathematica, 14 (4), pp. 311-324 (Nov 1987).
- Samelson H., “Differential forms, the early days; or the stories of Deahna's theorem and Volterra's theorem.” American Mathematical Monthly, 108 (6), pp. 522-530 (Jun-Jul 2001).
- Sandifer E., "Mixed partial derivatives." How Euler Did It. (Published online
by the MAA.)
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