E580 -- Opuscula analytica. Tomus secundus.
(Brief analytical works, volume 2)
Summary:
Published in 1783, the year of Euler's death, the Opuscula Analytica is a two-volume collection
of 28 previously unpublished works of Euler. (Also see E531, Volume 1.) Note also
that the publication of this second volume was not completed until 1785.
Publication:
-
Originally published in Saint Petersburg in 1785, 346 pages
-
Opera Omnia: See the page of the individual works, below, for their location in the Opera
Omnia.
Documents Available:
- E580 consists of some brief front matter, and then 15 papers of Euler. For a copy of the
original papers, see the individual E-pages by following the links below:
- E580 The front matter.
- E580 figures The figures from the end of the book.
- E586 Considerationes super theoremate Fermatiano de resolutione numerorum in numeros polygonales
- E587 Observation in aliquot theoremata illustrissimi de la Grange
- E588 Investigatio formulae integralis ? (xm-1 dx)/(1+xk)n casu, quo post intagrationem statuitur x = ¥)
- E589 Investigatio valoris integralis ? (xm-1 dx)/(1-2xkcos?+x2k) a termino x = 0 ad x = ¥ extensi
- E590 Theoremata quaedam analytica, quorum demonstratio adhuc desideratur
- E591 De relatione inter ternas pluresve quantitates instituenda
- E592 De resolutione fractionum transcendentium in infinitas fractiones simplices
- E593 De transformatione serierum in fractiones continuas, ubi simul haec theoria non mediocriter amplificatur
- E594 Methodus inveniendi formulas integrales, quae certis casibus datam inter se teneant rationem, ubi sumul methodus traditur fractiones continuas summandi
- E595 Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur
- E596 De summa seriei ex numeris primis formatae 1/3 - 1/5 + 1/7 + 1/11 - 1/13 ... ubi numeri primi formae 4n-1 habent signum positivum, formae autem 4n+1 signum negativum
- E597 De seriebus potestatum reciprocis methodo nova et facillima summandis
- E598 De insigni promotione scientiae numerorum
- E599 Solutio quaestionis ad calculum probabilitatis pertinentis:
- E600 Solutio quarundam quaestionum difficiliorum in calculo probabilium
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