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17 de abr. de 2024 · Jakob Bernoulli (born January 6, 1655 [December 27, 1654, Old Style], Basel, Switzerland—died August 16, 1705, Basel) was the first of the Bernoulli family of Swiss mathematicians. He introduced the first principles of the calculus of variation.
- The Editors of Encyclopaedia Britannica
3 de may. de 2024 · The Swiss mathematician Jakob Bernoulli (1654–1705) was the first to realize the existence of a single sequence of constants B 0, B 1, B 2,... which provide a uniform formula for all sums of powers.
1 de may. de 2024 · After Cardano, Jakob Bernoulli wrote Ars Conjectandi, which is considered a significant event in the history of probability theory. Bernoulli's book was published, also posthumously, in 1713 and inspired many mathematicians to study probability.
27 de abr. de 2024 · Euler must have studied Jakob Bernoulli’s articles on the theory of infinite series, published from 1682 to 1704 and reprinted in 1713; his Ars conjectandi on probability, with a preface by Nikolaus I, published posthumously in 1713; and Jakob Hermann’s Phoronomia, sive de viribus et motibus corporum solidorum et fluidorum of 1716.
- danilo.capecchi@uniroma1.it
17 de abr. de 2024 · brother Jakob Bernoulli. Subjects Of Study: calculus. calculus of variations. Johann Bernoulli (born August 6 [July 27, Old Style], 1667, Basel, Switzerland—died January 1, 1748, Basel) was a major member of the Bernoulli family of Swiss mathematicians. He investigated the then new mathematical calculus, which he applied to the ...
- The Editors of Encyclopaedia Britannica
27 de abr. de 2024 · A similar example concerns how Jakob Bernoulli corrected his mistaken belief that the radius of curvature of any curve must be infinite at an inflection point. On intuitive grounds, Leibniz and Bernoulli had believed this to be a general principle. Indeed, it holds for simple inflection points, but there are exceptions.
30 de abr. de 2024 · They were given the name “Bernoulli numbers” because they were first clearly elucidated by Swiss mathematician Jakob Bernoulli, in a 1713 work called Ars Conjectandi.
