For other family members named Johann, see Bernoulli family.
Johann Bernoulli
Johann Bernoulli (portrait by Johann Rudolf Huber, c. 1740)
Born
(1667-08-06)6 August 1667
Basel, Switzerland
Died
1 January 1748(1748-01-01) (aged 80)
Basel, Switzerland
Nationality
Swiss
Education
University of Basel (M.D., 1694)
Known for
Development of infinitesimal calculus Catenary solution Bernoulli's rule Bernoulli's identity Brachistochrone problem
Scientific career
Fields
Mathematics
Institutions
University of Groningen University of Basel
Thesis
Dissertatio de effervescentia et fermentatione; Dissertatio Inauguralis Physico-Anatomica de Motu Musculorum (On the Mechanics of Effervescence and Fermentation and on the Mechanics of the Movement of the Muscles) (1694 (1690)[2])
Doctoral advisor
Nikolaus Eglinger[1]
Other academic advisors
Jacob Bernoulli
Doctoral students
Daniel Bernoulli Leonhard Euler Johann Samuel König Pierre Louis Maupertuis
Other notable students
Guillaume de l'Hôpital
Signature
Notes
Brother of Jacob Bernoulli; the father of Daniel Bernoulli, Nicolaus II Bernoulli, and Johann II Bernoulli; and the uncle of Nicolaus I Bernoulli.
Johann Bernoulli[a] (also known as Jean in French or John in English; 6 August [O.S. 27 July] 1667 – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating Leonhard Euler in the pupil's youth.
^Bernoulli, Johannes (1690). Dissertatio de effervescentia et fermentatione nova hypothesi fundata. Switzerland: Basileae, Typis Iacobi Bertschii. doi:10.3931/e-rara-16316. Retrieved 14 August 2018.
^Published in 1690, submitted in 1694.
^Wells, John C. (2008). Longman Pronunciation Dictionary (3rd ed.). Longman. ISBN 978-1-4058-8118-0.
^Mangold, Max (1990). Duden — Das Aussprachewörterbuch. 3. Auflage. Mannheim/Wien/Zürich, Dudenverlag.
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JohannBernoulli (also known as Jean in French or John in English; 6 August [O.S. 27 July] 1667 – 1 January 1748) was a Swiss mathematician and was one...
Niklaus Bernoulli [de] (Nicolaus, 1623–1708), Leon's great-great-grandson, married Margarethe Schönauer. Niklaus had four sons, of whom Johann and Hieronymus...
Switzerland. Daniel was the son of JohannBernoulli (one of the early developers of calculus) and a nephew of Jacob Bernoulli (an early researcher in probability...
completely broken down. The lunar crater Bernoulli is also named after him jointly with his brother Johann. Jacob Bernoulli's first important contributions were...
to a given end point in the shortest time. The problem was posed by JohannBernoulli in 1696. The brachistochrone curve is the same shape as the tautochrone...
Johann II Bernoulli (also known as Jean; 18 May 1710 in Basel – 17 July 1790 in Basel) was the youngest of the three sons of the Swiss mathematician Johann...
were his father JohannBernoulli and one of his brothers, Daniel Bernoulli. He was one of the many prominent mathematicians in the Bernoulli family. Nicolaus...
Johann III Bernoulli (also known as Jean; 4 November 1744 in Basel – 13 July 1807 in Berlin), grandson of JohannBernoulli and son of Johann II Bernoulli...
mathematics was given by JohannBernoulli, the younger brother of the deceased Jacob Bernoulli (who had taught Euler's father). JohannBernoulli and Euler soon...
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principle Jacob Bernoulli (1654–1705), also known as Jacques, after whom Bernoulli numbers are named Jacob II Bernoulli (1759–1789) JohannBernoulli (1667–1748)...
realised he could make a living as a writer, Hesse finally married Maria Bernoulli (of the famous family of mathematicians) in 1904, while her father, who...
natural philosophers of the day, including Gottfried Wilhelm Leibniz, JohannBernoulli, John Theophilus Desaguliers, and Willem 's Gravesande. The modern...
lemniscate. In 1694, JohannBernoulli studied the lemniscate case of the Cassini oval, now known as the lemniscate of Bernoulli (shown above), in connection...
In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers which occur frequently in analysis. The Bernoulli numbers appear in (and can...
Leibniz, Christiaan Huygens, and JohannBernoulli derived the equation in response to a challenge by Jakob Bernoulli; their solutions were published in...
gravitation 1690 - James Bernoulli shows that the cycloid is the solution to the tautochrone problem 1691 - JohannBernoulli shows that a chain freely...
175-degree programmes. The university's alumni and faculty include JohannBernoulli, Aletta Jacobs, four Nobel Prize winners, nine Spinoza Prize winners...
mathematicians in the Bernoulli family. Nicolaus Bernoulli was born on 20 October [O.S. 10 October] 1687 in Basel. He was the son of Nicolaus Bernoulli, painter and...
contributions were made by notables figures like Archimedes, JohannBernoulli and his son Daniel Bernoulli, Leonhard Euler, Claude-Louis Navier and Stokes, who...
mechanics that E ∝ mv2 was first developed by Gottfried Leibniz and JohannBernoulli, who described kinetic energy as the living force, vis viva.: 227 ...