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Nicolaus Bernoulli (also spelled Nicolas or Nikolas; 20 October [O.S. 10 October] 1687 in Basel – 29 November 1759 in Basel) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family.
Born. 21 October 1687. Basel, Switzerland. Died. 29 November 1759. Basel, Switzerland. Summary. Nicolaus Bernoulli was one of the famous Swiss family of mathematicians. He is most important for his correspondence with other mathematicians including Euler and Leibniz. Biography.
In mathematics: History of analysis. Nikolaus I Bernoulli (1687–1759), the nephew of Johann and Jakob, proved the equality of mixed second-order partial derivatives and made important contributions to differential equations by the construction of orthogonal trajectories to families of curves.
Nicolaus Bernoulli was a prolific correspondent and poser of the St Petersburg Paradox, solved by his cousin Daniel Bernoulli. He was a nephew of Jacob Bernoulli, who supervised his Master's degree in mathematics at U Basel.
- Jakob I and Johann I
- Niklaus I
- Daniel I
- Works by Daniel I
- Works by Jakob I
- Works by Johann I
- Supplementary Bibliography
The first in the line of the Bernoulli mathematicians, Jakob I (1654–1705), was the son of the merchant Niklaus. He completed theological studies and then spent six years traveling in England, France, and Holland. Returning to Basel, he lectured on physics at the university until he was appointed professor of mathematics in 1687. His younger brothe...
Niklaus I (1687–1759) was a nephew of Jakob I and Johann I; his father was a portrait painter. True to the family tradition, Niklaus studied for one of the older professions, jurisprudence, while on the side he attended the lectures in mathematics of his two uncles. His law thesis straddled both fields: “… de usu artis conjectandi in jure” (1709). ...
Johann I had three sons who were mathematicians: Niklaus II (1695–1726), Daniel I (1700–1782), and Johann II (1710–1790). He compelled each one to acquire a professional degree. Niklaus II studied law and began his career in Berne, as a professor in this subject, in 1723. In 1725 he was appointed to a professorship of mathematics at the Imperial Ac...
1724 Exercitationes quaedam mathematicae.Venice (Italy): Apud Dominicum Lovisam. (1738) 1954 Exposition of a New Theory on the Measurement of Risk. Econometrica22:23–36. → First published as “Specimen theoriae novae de mensura sortis.”
(1713) 1899 Wahrscheinlichkeitsrechnung (Ars conjectandi).2 vols. Leipzig: Engelmann. → First published posthumously in Latin. 1744 Jacobi Bernoulli… Opera. 2 vols. Geneva: Cramer & Fratrum Philibert. → Published posthumously.
1742 Johannis Bernoulli … Opera omnia.4 vols. Geneva: Bousquet. Der Briefwechsel von Johann Bernoulli.Volume 1. Basel: Birkhauser, 1955.
Huygens, Christiaan 1657 De ratiociniis in ludo aleae. Pages 521–534 in Frans van Schooten, Exercitationum mathematicarum libri quinque.Leiden (Netherlands): Elsevier. L’hospital, Guillaume François Antoine de 1696 Analyse des infiniment petits, pour I’intelligence des lignes courbes.Paris: Imprimerie Royale. [Montmort, Pierre RÉmond de] (1708) 171...
Nikolaus Bernoulli. 1695-1726. Swiss Mathematician. The first and favorite son of Johann Bernoulli (1667-1748), Nikolaus Bernoulli was destined to be overshadowed by his younger brother Daniel (1700-1782
Nicolaus BERNOULLI. b. 10 October 1687 - d. 29 November 1759. Summary. This member of the Bernoulli dynasty was, for a short period in the second decade of the eighteenth century, the leading figure in all of stochastics, and he has had a lasting influence.
