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17 de abr. de 2024 · 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 measurement of curves, to differential equations, and to mechanical problems.
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Constantin Carathéodory (born September 13, 1873, Berlin,...
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3 de may. de 2024 · Bernoulli's formula is sometimes called Faulhaber's formula after Johann Faulhaber who also found remarkable ways to calculate sums of powers. Faulhaber's formula was generalized by V. Guo and J. Zeng to a q-analog. Taylor series. The Bernoulli numbers appear in the Taylor series expansion of many trigonometric functions and hyperbolic functions.
25 de abr. de 2024 · 9.3. Bernoulli, Johan (1667-1748) Johann Bernoulli was one of the pioneers in the field of calculus and helped apply the new tool to real problems. His life was one of the most controversial of any mathematician. He was a member of the world's most successful mathematical family, the Bernoullis.
Hace 3 días · In 1748 he declined an offer from the University of Basel to succeed the recently deceased Johann Bernoulli. In 1753 he bought a house in Charlottenburg, in which he lived with his family and widowed mother. Euler became the tutor for Friederike Charlotte of Brandenburg-Schwedt, the Princess of Anhalt-Dessau and Frederick's niece.
17 de abr. de 2024 · Notable Family Members: brother Johann Bernoulli. 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.
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17 de abr. de 2024 · Notable Works: “Hydrodynamica”. House / Dynasty: Bernoulli family. Notable Family Members: father Johann Bernoulli. Daniel Bernoulli (born Feb. 8 [Jan. 29, Old Style], 1700, Groningen, Neth.—died March 17, 1782, Basel, Switz.) was the most distinguished of the second generation of the Bernoulli family of Swiss mathematicians.
27 de abr. de 2024 · As Leibniz was dead and Newton old and less active, Bernoulli was since 1707 the leading mathematical preceptor in all of Europe. While likely concerned about employment for his genial son, Paul Euler accepted a Johann Bernoulli’s request for Euler’s shift out of theology.
