Back Jakob Bernoulli Afrikaans Jakob Bernoulli ALS ياكوب برنولي Arabic ياكوب بيرنولى ARZ Jakob Bernoulli AST Yakob Bernulli Azerbaijani یاکوب برنولی AZB Якаб Бернулі Byelorussian Якоб Бернули Bulgarian Jacob Bernoulli BS
Jacob Bernoulli | |
|---|---|
 | |
| Born | 6 January 1655 |
| Died | 16 August 1705 (aged 50) Basel, Switzerland |
| Education | University of Basel (D.Th., 1676; Dr. phil. hab., 1684) |
| Known for | Bernoulli differential equation Bernoulli numbers Bernoulli's formula Bernoulli polynomials Bernoulli map Bernoulli trial Bernoulli process Bernoulli scheme Bernoulli operator Hidden Bernoulli model Bernoulli sampling Bernoulli distribution Bernoulli random variable Bernoulli's Golden Theorem Bernoulli's inequality Lemniscate of Bernoulli |
| Scientific career | |
| Fields | Mathematics, mechanics |
| Institutions | University of Basel |
| Theses |
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| Doctoral advisor | Peter Werenfels (1676 thesis advisor) |
| Other academic advisors | Gottfried Wilhelm Leibniz (epistolary correspondent) |
| Doctoral students | Jacob Hermann Nicolaus I Bernoulli |
| Other notable students | Johann Bernoulli |
| Notes | |
Brother of Johann Bernoulli | |
Jacob Bernoulli[a] (also known as James in English or Jacques in French; 6 January 1655 [O.S. 27 December 1654] – 16 August 1705) was one of the many prominent mathematicians in the Swiss Bernoulli family. He sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy and was an early proponent of Leibnizian calculus, which he made numerous contributions to; along with his brother Johann, he was one of the founders of the calculus of variations. He also discovered the fundamental mathematical constant e. However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work Ars Conjectandi.[3]
- ^ 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.
- ^ Jacob (Jacques) Bernoulli, The MacTutor History of Mathematics archive, School of Mathematics and Statistics, University of St Andrews, UK.
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