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19 de mar. de 2024 · Modern interest in the calculus of variations began in 1696 when Johann Bernoulli of Switzerland proposed a brachistochrone (“least-time”) problem as a challenge to his peers. Suppose that a thin wire in the shape of a curve joins two points at different elevations.
- The Editors of Encyclopaedia Britannica
Hace 6 días · The calculus of variations may be said to begin with Newton's minimal resistance problem in 1687, followed by the brachistochrone curve problem raised by Johann Bernoulli (1696). It immediately occupied the attention of Jakob Bernoulli and the Marquis de l'Hôpital , but Leonhard Euler first elaborated the subject, beginning in 1733.
5 de mar. de 2024 · Tuesday, 2 April 2024, 19:30. Aula Academy Builidng. Prof.dr. Ute Ebert ( CWI en Scientific Staff Member, Professor - Technische Universiteit Eindhoven) Please click here for Livestream Bernoulli Lecture 2024. Title: The unseen structures of lightning.
Hace 2 días · Jacob Bernoulli. A differential equation. y′ + p(x)y = g(x)yα, y ′ + p ( x) y = g ( x) y α, 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 ...
Hace 2 días · The course on elementary mathematics was given by Johann Bernoulli, the younger brother of the deceased Jacob Bernoulli (who had taught Euler's father). Johann Bernoulli and Euler soon got to know each other better. Euler described Bernoulli in his autobiography:
Hace 4 días · The coefficients in Bernoulli's formula are now called Bernoulli numbers, following a suggestion of Abraham de Moivre. Bernoulli's formula is sometimes called Faulhaber's formula after Johann Faulhaber who found remarkable ways to calculate sum of powers but never stated Bernoulli's formula.
21 de mar. de 2024 · Johann Bernoulli (1667–1748), also known as Jean or John, was a Swiss mathematician and a prominent member of the Bernoulli family, which consisted of many renowned mathematicians. Johann’s elder brother Jakob introduced the term “integral” in the context of integration and discovered the number \(e=2.71828\dots\) , now known as “Euler’s number”.