-
series diverges. Bernoulli,
Jacob (1689).
Propositiones arithmeticae de
seriebus infinitis earumque summa finita [Arithmetical
propositions about infinite...
-
Mathematics Archive,
University of St
Andrews Bernoulli, Jacobi. "Tractatus de
Seriebus Infinitis" (PDF). Weisstein, Eric
Wolfgang (ed.). "Bernoulli,
Jakob (1654–1705)"...
- I,
exercise 16, p. 20. ISBN 0-387-96017-1. Euler,
Leonhard (1760). "De
seriebus divergentibus". Novi
Commentarii Academiae Scientiarum Petropolitanae....
-
first published the
inequality in his
treatise "Positiones
Arithmeticae de
Seriebus Infinitis" (Basel, 1689),
where he used the
inequality often. According...
- factorials. In 1730 de
Moivre published his book
Miscellanea Analytica de
Seriebus et
Quadraturis [Analytic
Miscellany of
Series and Integrals],
which included...
- the
series 1 + 2 + 3 + 4 + ⋯ is
mentioned in Euler's 1760
publication De
seriebus divergentibus alongside the
divergent geometric series 1 + 2 + 4 + 8 +...
- Kummer,
Ernst Eduard (1837). "De
integralibus quibusdam definitis et
seriebus infinitis".
Journal für die
reine und
angewandte Mathematik (in Latin)...
-
suturis alte insculptis ;
superficie spirae tota
valide tuberculosa,
seriebus tribus,
alteris postea intercalantibus;
peripheria et basi rotundatis,...
- Bernoulli,
Jakob (1713), Ars conjectandi, opus posthumum.
Accedit Tractatus de
seriebus infinitis, et
epistola gallicé
scripta de ludo
pilae reticularis, Basel:...
- + 4 + 8 + ⋯ 1 − 2 + 3 − 4 + ⋯ 1 − 2 + 4 − 8 + ⋯ Euler, L. (1760). "De
seriebus divergentibus" [On
divergent series]. Novi
Commentarii Academiae Scientiarum...
