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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.
- The Editors of Encyclopaedia Britannica
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.
17 de abr. de 2024 · Bernoulli family. 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.
- The Editors of Encyclopaedia Britannica
30 de abr. de 2024 · A differential equation. y + p(x)y = g(x)yα, where α is a real number not equal to 0 or 1, is called a Bernoulli differential equation. It is named after Jacob (also known as James or Jacques) Bernoulli (1654--1705) who discussed it in 1695. Jacob Bernoulli was born in Basel, Switzerland.
17 de abr. de 2024 · 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.
- The Editors of Encyclopaedia Britannica
27 de abr. de 2024 · Thus, for example, Johann Bernoulli, in his calculus lectures of 1692, writes the differential equation for the exponential curve as ydx = ady, and when he separates the variables to dx = ady : y he then proceeds, for the sake of geometrical interpretation, to explicitly multiply by a to get adx = aady : y, which he then interprets visually as an equality of areas (Johann Bernoulli Opera III ...
Hace 5 días · Although Johann Bernoulli (1667--1748) came in 1694 to an equation that is a particular case of what we call now the Bessel equation, it was his son who actually introduced it. Daniel Bernoulli (1700--1782) is generally credited with being the first to introduce the concept of Bessels functions in 1732 ( Saint Petersburg ).
