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Johann bernoulli

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Jacob (Jacques) Bernoulli

Quick Info

Born
6 January 1655
Basel, Switzerland
Died
16 August 1705
Basel, Switzerland
Summary
Jacob Bernoulli was a Swiss mathematician who was the first to use the term integral. He studied the catenary, the curve of a suspended string. He was an early user of polar coordinates and discovered the isochrone.

Biography

Jacob Bernoulli's father, Nicolaus Bernoulli (1623-1708) inherited the spice business in Basel that had been set up by his own father, first in Amsterdam and then in Basel. The family, of Belgium origin, were refugees fleeing from persecution by the Spanish rulers of the Netherlands. Philip, the King of Spain, had sent the Duke of Alba to the Netherlands in 1567 with a large army to punish those opposed to Spanish rule, to enforce adherence to Roman Catholicism, and to re-establish Philip's authority. Alba set up the Council of Troubles which was a court that condemned over 12000 people but most, like the Bernoulli family who were of the Protestant faith, fled the country.

Nicolaus Bernoulli was an important c
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Daniel Bernoulli

Swiss mathematician and physicist (1700–1782)

Daniel BernoulliFRS (bur-NOO-lee; Swiss Standard German:[ˈdaːni̯eːlbɛrˈnʊli];[1] 8 February [O.S. 29 January] 1700 – 27 March 1782[2]) was a Swissmathematician and physicist[2] and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mechanics, especially fluid mechanics, and for his pioneering work in probability and statistics.[3] His name is commemorated in the Bernoulli's principle, a particular example of the conservation of energy, which describes the mathematics of the mechanism underlying the operation of two important technologies of the 20th century: the carburetor and the aeroplane wing.[4][5]

Early life

Daniel Bernoulli was born in Groningen, in the Netherlands, into a family of distinguished mathematicians.[6] The Bernoulli family came originally from Antwerp, at that time in the Spanish Netherlan

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Daniel Bernoulli, 1700-1782.

Dutch-Swiss mathematician, first articulator of the expected utility hypothesis.

Born to a family of mathematicians - his father was Johan Bernoulli, his uncle Jakob Bernoulli and his younger brother Johan II.  Preciously gifted, Daniel's mathematical skill led to an unhealthy rivalry with his father, with the lamentable consequence of  a personal break between the two.  Bernoulli was a close friend of Leonhard Euler. 

In 1724, Bernoulli moved to St. Petersburg, Russia to teach mathematics at the new university, but left in 1734. He went on to teach at the university of Basel, Switzerland, for much of the remainder of his life.

Bernoulli's principal work in mathematics was his treatise on fluid mechanics, Hydrodynamica.  In economics, Bernoulli is best known for his 1738 article resolving the St. Petersburg paradox, a probability problem set by his cousin Nicholas Bernoulli in 1713, involving the solution to a game of chance with an infinite expected return.  Daniel's proposed solut

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