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Daniel Bernoulli ( Groningen, February 9, 1700 - Basel, March 17, 1782) was a Dutch-born mathematician who spent much of his life in Basel, Switzerland. He worked with Leonhard Euler on the equations bearing their names. Bernoulli's principle is of critical use in aerodynamics. It is applicable to steady, inviscid, incompressible flow, along a streamline.

Born as the son of Johann BernoulliJohann Bernoulli ( 27 July 1667 January 1 1748) was a Swiss mathematician. He was the brother of Jakob Bernoulli, and the father of Daniel Bernoulli and Nicolaus II Bernoulli. He is also know as Jean or John Bernoulli . With his brother Bernoulli pioneere, and nephew of Jakob BernoulliJakob Bernoulli ( Basel, December 27, 1654 August 16, 1705), also known as Jacob Jacques or James Bernoulli was a Swiss mathematician and scientist and the older brother of Johann Bernoulli. Jakob Bernoulli met Robert Boyle and Robert Hooke on a trip to E, Daniel Bernoulli was by far the ablest of the younger Bernoullis. He is said to have had a bad relationship with his father. Upon both of them entering and tying for first place in a scientific contest at the University of ParisThe University of Paris ( French: Universite de Paris was founded in 1150 and was known as the Sorbonne. Following the events of May 1968, the University of Paris was split in 1970 into a number of administratively separate universities, in an attempt to, Johann, unable to bear the "shame" of being compared to his offspring, banned Daniel from his house. Johann Bernoulli also tried to steal Daniel's book Hydrodynamica and rename it Hydraulica. Despite Daniel's attempts at reconciliation, his father carried the grudge until his death.

Daniel Bernoulli taught at the University of BaselThe University of Basel (German: Universitat Basel is located at Basel, Switzerland. Organisation Faculties Theology Jura Medicine Phil I Phil II Economy Psychology Ressorts Research Teaching Students Equal chances for both genders Center for Scientific C for 26 years until his death. He was a contemporary and intimate friend of Euler. He went to St. Petersburg in 1724Events January 14 King Philip V of Spain abdicates the throne February 20 The premiere of Giulio Cesare an Italian opera by George Frideric Handel, takes place in London June 23 Treaty of Constantinople signed. Partitioned Persia between the Ottoman Empir as professor of mathematicsMathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of "figures and numbers". In the formalist view, it is the investigation of axiomatically defined abstract structures, but did not like it there, and a temporary illness in 1733Events February 12 English colonist James Oglethorpe founds Savannah, Georgia. May 29 Right of Canadians to keep Indian slaves upheld at Quebec Quebec. July 30 First Freemasons lodge opened in what will become the United States. Births May 4 Jean-Charles gave him an excuse for leaving. He returned to Basel, where he held successively the chairs of medicine, metaphysics, and natural philosophy.

His earliest mathematical work was the Exercitationes (Mathematical Exercises), published in 1724, which contains a solution of the differential equation proposed by Jacopo Riccati (the Riccati equation). Two years later he pointed out for the first time the frequent desirability of resolving a compound motion into motions of translation and motions of rotation. His chief work is his Hydrodynamique (Hydrodynamica), published in 1738; it resembles Lagrange's Méchanique Analytique in being arranged so that all the results are consequences of a single principle, namely, in this case, the conservation of energy. This was followed by a memoir on the theory of the tides, to which, conjointly with the memoirs by Euler and Colin Maclaurin, a prize was awarded by the French Academy: these three memoirs contain all that was done on this subject between the publication of Isaac Newton's Principia and the investigations of Laplace. Bernoulli also wrote a large number of papers on various mechanical questions, especially on problems connected with vibrating strings, and the solutions given by Brook Taylor and by d'Alembert. He is the earliest writer who attempted to formulate a kinetic theory of gases, and he applied the idea to explain the law associated with the names of Robert Boyle and Edme Mariotte.

Daniel Bernoulli also was the author in 1738 of the "Exposition of a New Theory on the Measurement of Risk", (Econometrica vol 22 (1954), pp23-36; Stanford Encyclopaedia of Philosophy) which St. Petersburg paradox was the base of the economic theory of risk aversion, risk premium and utility

He died at Basel, where he was professor of physics, on March 17, 1782.

Original entry based on the public domain Rouse History of Mathematics