Jacob Bernoulli facts for kids
Jacob Bernoulli  

Jacob Bernoulli


Born  Basel, Switzerland 
27 December 1654
Died  16 August 1705 Basel, Switzerland 
(aged 50)
Residence  Switzerland 
Fields  Mathematics, mechanics 
Institutions  University of Basel 
Alma mater  University of Basel (D.Th., 1676; Dr. phil. hab., 1684) 
Doctoral advisor  Peter Werenfels (1676 thesis advisor) 
Other academic advisors  Gottfried Wilhelm Leibniz (epistolary correspondent) 
Doctoral students  Johann Bernoulli Jacob Hermann Nicolaus I Bernoulli 
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 
Influences  Nicolas Malebranche 
Notes
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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