-
series diverges. Bernoulli,
Jacob (1689).
Propositiones arithmeticae de
seriebus infinitis earumque summa finita [Arithmetical
propositions about infinite...
- factorials. In 1730 de
Moivre published his book
Miscellanea Analytica de
Seriebus et
Quadraturis [Analytic
Miscellany of
Series and Integrals],
which included...
-
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....
- 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 +...
- cos θ and cos nθ. See: Moivre, A. de (1730).
Miscellanea Analytica de
Seriebus et
Quadraturis (in Latin). London, England: J.
Tonson & J. Watts. p. 1...
-
first published the
inequality in his
treatise "Positiones
Arithmeticae de
Seriebus Infinitis" (Basel, 1689),
where he used the
inequality often. According...
- Kummer,
Ernst Eduard (1837). "De
integralibus quibusdam definitis et
seriebus infinitis".
Journal für die
reine und
angewandte Mathematik (in Latin)...
-
family Polynomial root-finding Bernoulli,
Daniel (1729). "Observations de
Seriebus".
Commentarii Academiae Scientiarum Imperialis Petropolitanae. t.3. Typis...
-
similar series in 1696 in the
third part of his
Positiones arithmeticae de
seriebus infinitis.
Applying Nicholas Mercator's
method for
polynomial long division...
