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Jacob Bernoulli
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Jacob Bernoulli
Born (1654-12-27)27 December 1654
Basel, Switzerland
Died 16 August 1705(1705-08-16) (aged 50)
Basel, Switzerland
Alma mater 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
Doctoral advisor Peter Werenfels
(1676 thesis advisor)
Other academic advisors Gottfried Wilhelm Leibniz (epistolary correspondent)
Doctoral students Johann Bernoulli
Jacob Hermann
Nicolaus I Bernoulli
Influences Nicolas Malebranche
Brother of Johann Bernoulli

Jacob Bernoulli (also known as James or Jacques; 6 January 1655 [O.S. 27 December 1654] – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy. He is known for his numerous contributions to calculus, and along with his brother Johann, 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.

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