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Daniel Bernoulli ( Groningen , February 8 , 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 Bernoulli , nephew of Jakob Bernoulli , younger brother of Nicolaus Bernoulli II, and older brother of Johann II, 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 Paris , 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. When Daniel was five, his younger brother Johann Bernoulli II was born. He was a contemporary and intimate friend of Euler. He went to St. Petersburg in 1724 as Professor of Mathematics , but did not like it there, and a temporary illness in 1733 gave him an excuse for leaving. He returned to the University Of Basel , where he successively held the chairs of Medicine , Metaphysics and Natural Philosophy until his death. His father wanted him to do this because he believed that there was no money in mathematics. His earliest mathematical work was the ''Exercitationes'' (''Mathematical Exercises''), published in '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 . SEE ALSO EXTERNAL LINKS
''Original entry based on the Public Domain Rouse History Of Mathematics '' |