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	10.3. 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.
		Johann was the tenth son of a successful merchant and local official.
		While pursuing a degree in medicine, Johann was tutored in mathematics by his older brother and soon developed a mastery of the new Leibnizian calculus.
	web01.shu.edu /projects/reals/history/bernoull.html (833 words)

	Daniel Bernoulli
		The son of Johann Bernoulli[?], nephew of Jakob Bernoulli, Daniel Bernoulli was by far the ablest of the younger Bernoullis.
		Bernoulli's principle is of critical use in aerodynamics.
		Bernoulli also wrote a large number of papers on various mechanical questions, especially on problems connected with vibrating strings, and the solutions given by Taylor and by d'Alembert.
	www.ebroadcast.com.au /lookup/encyclopedia/be/Bernoulli.html (432 words)

	BBC - h2g2 - Jakob Bernoulli
		Jakob Bernoulli was born on December 27, 1654 in Basel, Switzerland to Nicolaus and Margaretha Bernoulli.
		Jakob Bernoulli is considered the "most important founder of calculus with the exception of Newton" (Weisstein 1), and was extremely important in the process of advancing mathematical theories during the 17th and 18th centuries.
		Johann Bernoulli was the 10th child born to Nicolaus Bernoulli, and he worked with and against his brother on many areas of math including calculus and physics.
	www.bbc.co.uk /dna/ww2/A1049339 (1199 words)

	Bernoulli_Jacob biography
		Jacob Bernoulli was the brother of Johann Bernoulli and the uncle of Daniel Bernoulli.
		Johann was told by his father to study medicine but while he was studying that topic he asked his brother Jacob to teach him mathematics.
		Johann Bernoulli's boasts were the first cause of Jacob's attacks on him and Jacob wrote that Johann was his pupil whose only achievements were to repeat what his teacher had taught him.
	www-gap.dcs.st-and.ac.uk /~history/Biographies/Bernoulli_Jacob.html (1894 words)

	Bernoulli_Johann biography
		Johann Bernoulli was the tenth child of Nicolaus and Margaretha Bernoulli.
		Johann's first publication was on the process of fermentation in 1690, certainly not a mathematical topic but in 1691 Johann went to Geneva where he lectured on the differential calculus.
		Johann was involved in a number of religious disputes, his second child was a daughter who was born in 1697 and only lived for six weeks, and he suffered so severe an illness that he was reported to have died.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Bernoulli_Johann.html (2510 words)

	Daniel Bernoulli Summary
		Bernoulli's discovery was one of the great moments in the history of science, for his extraordinary insights laid the foundations for the kinetic theory of gases, which in the 19th century fully validated his profound understanding of the nature of gases.
		Bernoulli experimented by puncturing the wall of a pipe with a small, open-ended straw, and noted that as the fluid passed through the tube the height to which the fluid rose up the straw was related to fluid's pressure.
		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.
	www.bookrags.com /Daniel_Bernoulli (4786 words)

	Johann(I) Bernoulli
		Johann's calling in life, as proposed by his father, Nicolaus, was to become a merchant and take care of the family's trading interests.
		It was considered that Johann was a jealous man who not only didn't get along with his brother, but it is said he was responsible for his son Daniel leaving home for winning a prize for which Johann had competed as well.
		Johann's professional career included being appointed to a chair of mathematics in Groningen, the Netherlands, in 1695, but after the death of his brother, Jakob, he returned to Basel to take over the position Jakob had held as professor of mathematics at the university there.
	www.roma.unisa.edu.au /07305/Johann1.htm (741 words)

	Bernoulli - HighBeam Encyclopedia (Site not responding. Last check: 2007-10-22)
		BERNOULLI [Bernoulli] or Bernouilli, name of a family distinguished in scientific and mathematical history.
		One of the chief developers both of the ordinary calculus and of the calculus of variations, he was the first to use the word integral in solving Leibniz's problem of the isochronous curve.
		He was succeeded at Basel by his brother, Johann, Jean, or John Bernoulli, 1667-1748, who earlier had been professor at Gröningen and who was famous for his work in the field of integral and exponential calculus and was also a founder of the calculus of variations.
	www.encyclopedia.com /doc/1E1-bernoulf1am.html (449 words)

	Biographies
		Bernoulli's parents became promiment members of Basel society and compelled their eldest son Jakob to study theology and philosophy.
		Bernoulli's younger brother Johann was initially forced to study medicine but followed in Jakob's footsteps and studied mathematics and physics instead.
		Jakob Bernoulli held the chair in mathematics at Basel University until his death in 1705 when he was succeeded by his brother Johann who had long coveted the position.
	tulsagrad.ou.edu /statistics/biographies/Bernoulli.htm (417 words)

	The Bernoullis
		The Bernoullis (or as they are sometimes, and perhaps more correctly, called, the Bernouillis) were a family of Dutch origin, who were driven from Holland by the Spanish persecutions, and finally settled at Bâle in Switzerland.
		Jacob or James Bernoulli was born at Bâle on December 27, 1654; in 1687 he was appointed to a chair in mathematics in the university there; and occupied it until his death on August 16, 1705.
		Nicholas Bernoulli, the eldest of the three sons of John, was born on Jan. 27, 1695, and was drowned at St. Petersburg, where he was professor, on July 26, 1726.
	www.maths.tcd.ie /pub/HistMath/People/Bernoullis/RouseBall/RB_Bernoullis.html (1078 words)

	Bernoulli, Johann (1667-1748) -- from Eric Weisstein's World of Scientific Biography
		With his brother Jakob, Johann Bernoulli is considered the most important founder of calculus
		Johann instructed l'Hospital, who later incorporated one of his Johann's results in a textbook he wrote, so that it has come to be known as l'Hospital's rule.
		Johann filled the mathematics chair at Basel left vacant by his brother's death.
	scienceworld.wolfram.com /biography/BernoulliJohann.html (261 words)

	Daniel Bernoulli
		Daniel Bernoulli was the son of Johann Bernoulli.
		Johann Bernoulli was able to arrange for one of his best pupils, Leonard Euler, to go to St Petersburg to work with Daniel.
		Another important aspect of Daniel Bernoulli's work that proved important in the development of mathematical physics was his acceptance of many of Newton's theories and his use of these together with the tolls coming from the more powerful calculus of Leibniz.
	www.mathematik.ch /mathematiker/daniel_bernoulli.php (2115 words)

	Johann (also John or Jean) Bernoulli
		Johann Bernoulli was born in Bale, Switzerland on August 7, 1667.
		Bernoulli was extremely competitive with his brother Jakob and his own son, Daniel with regards to mathematics.
		Bernoulli was a very successful teacher, however, and he inspired his students to have a zeal and a passion for mathematics, which he felt himself.
	www.geocities.com /mathladies/bios/johannb.html (291 words)

	[No title]
		Daniel Bernoulli was born in Gröningen on the 29.
		Johann Bernoulli was born in Basel on the 27.
		Johann Bernoulli was born in Basel on the 4.
	www.plicht.de /chris/files/b.htm (5941 words)

	Bernoulli (Site not responding. Last check: 2007-10-22)
		Johann Bernoulli was told by his father to study medicine but while he was studying that topic he asked his brother Jacob Bernoulli to teach him mathematics.
		Although Jacob and Johann Bernoulli both worked on similar problems their relationship was soon to change from one of collaborators to one of rivals.
		Johann Bernoulli would have liked the chair of mathematics at Basel which Jacob held and he certainly resented having to move to Holland in 1695.
	www.thocp.net /biographies/bernoulli.html (1926 words)

	Daniel Bernoulli > ENGINEERING.com > Articles Page
		By this stage Johann Bernoulli was prepared to teach his son more mathematics while he studied medicine and Daniel studied his father's theories of kinetic energy.
		Bernoulli determined the shape that a perfectly flexible thread assumes when acted upon by forces of which one component is vertical to the curve and the other is parallel to a given direction.
		This was a disgraceful attempt by Johann to gain credit for work which was not his and at the same time to discredit his own son and shows the depths to which the bad feeling between them had reached.
	www.engineering.com /Library/ArticlesPage/tabid/85/articleType/ArticleView/articleId/19/Daniel-Bernoulli.aspx (2115 words)

	Fermat's Last Theorem: Johann Bernoulli
		Johann Bernoulli was born July 27, 1667 in Basel Switzerland.
		Johann had married shortly before moving to Gottigen and in 1705, he learned that his father-in-law was very sick and not expected to live much longer.
		Johann argued that Leibniz's methods were more powerful than Newton's (a position that is generally supported today) and that Descarte's theory of vortex was superior to Newton's theory of gravitation.
	fermatslasttheorem.blogspot.com /2006/09/johann-bernoulli.html (859 words)

	[No title]
		Daniel Bernoulli was the son and nephew of the respected mathematicians Johann Bernoulli and Jakob Bernoulli.
		Bernoulli's Law, by Jakob Bernoulli is an altogether different concept; it states that a large number of items chosen at random from a population will, on the average, have the characteristics of the population.
		Proponents of the application of Bernoulli's Principle claim that the problem with the assumptions are mostly minor artifacts and point out that the density assumption becomes moot if the velocity is low enough to assure incompressible flow.
	www.seykota.com /rm/Bernoulli_approach/index.htm (896 words)

	Johann Bernoulli
		As one would expect, it upset Johann Bernoulli greatly that this work did not acknowledge the fact that it was based on his lectures.
		Johann Bernoulli also began a long correspondence with Leibniz which was to prove very fruitful.
		Johann's original solution was less than satisfactory, but he returned to the problem later and produced an elegant solution which was to form a foundation for the calculus of variations.
	www.stetson.edu /~efriedma/periodictable/html/Be.html (488 words)

	HENRI PITOT TUBE SPEED MEASURING INSTRUMENT \| DANIEL BERNOULLI'S LAW FLUID FLOW AIRFOIL LIFT
		Bernoulli discovered some fairly simple relationships between fluid velocity and pressure which are the fundamental basis for the design of wings.
		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.
		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.
	www.speedace.info /pitot_tube.htm (1803 words)

	Johann Bernoulli (Site not responding. Last check: 2007-10-22)
		Johann Bernoulli Johann Bernoulli (Basel, July 27, 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.
		Bernoulli, Johann Bernoulli, Johann Bernoulli, Johann de:Johann Bernoulli fr:Jean Bernoulli nl:Johan Bernoulli pl:Johann Bernoulli pt:Johann Bernoulli sl:Johann Bernoulli I. Tous les départements auront de Paris, je le répète, sera toujours digne d'être le dépositaire de la vous y trouverez des passions, parce que vous y porterez les vôtres.
	johann-bernoulli.kiwiki.homeip.net (204 words)

	Johann Bernoulli
		Johann Bernoulli (Basel, July 27, 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.
		Bernoulli proposed a fluid energy perpetual motion machine.
	www.brainyencyclopedia.com /encyclopedia/j/jo/johann_bernoulli.html (205 words)

	Bernoulli and Newton
		The proponents of the arguments usually fall into two camps: (1) those who support the "Bernoulli" position that lift is generated by a pressure difference across the wing, and (2) those who support the "Newton" position that lift is the reaction force on a body caused by deflecting a flow of gas.
		Bernoulli also worked in many areas of mathematics and physics and had a degree in medicine.
		Bernoulli's equation, which was named for Daniel Bernoulli, relates the pressure in a gas to the local velocity; so as the velocity changes around the object, the pressure changes as well.
	www.grc.nasa.gov /WWW/K-12/airplane/bernnew.html (0 words)

	Daniel Bernoulli - Wikipedia, the free encyclopedia
		Born as the son of Johann Bernoulli, nephew of Jakob Bernoulli, younger brother of Nicolaus II Bernoulli, and older brother of Johann II, Daniel Bernoulli was by far the ablest of the younger Bernoullis.
		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.
		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.
	en.wikipedia.org /wiki/Daniel_Bernoulli (572 words)

	10.3. 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.
		Johann (also known as Johannes, Jean or John, depending on the translation) Bernoulli was born in Basel, Switzerland, on August 6, 1667.
		While pursuing a degree in medicine, Johann was tutored in mathematics by his older brother and soon developed a mastery of the new Leibnizian calculus.
	www.shu.edu /projects/reals/history/bernoull.html (833 words)

	Bernoulli: Free Encyclopedia Articles at Questia.com Online Library
		One of the chief developers both of the ordinary calculus and of the calculus of variations, he was the first to use the word integral in solving Leibniz's problem of the isochronous curve.
		He was succeeded at Basel by his brother, Johann, Jean, or John Bernoulli, 1667–1748, who earlier had been professor at Gröningen and who was famous for his work in the field of integral and exponential calculus and was also a founder of the calculus of variations.
		BERNOULLIS PRINCIPLE physical principle formulated by Daniel Bernoulli that states that as the speed of a moving fluid (liquid...within the fluid decreases.
	www.questia.com /library/encyclopedia/Bernoulli.jsp?l=A&p=1 (1503 words)

	Johann Bernoulli
		Bernoulli's course is virtually identical with de l'Hôpital's book but it is worth pointing out that de l'Hôpital had corrected a number of errors such as Bernoulli's mistaken belief that the integral of 1/x is infinite.
		Johann's solution to this problem was less satisfactory than that of Jacob but, when Johann returned to the problem in 1718 having read a work by Taylor, he produced an elegant solution which was to form a foundation for the calculus of variations.
		In 1705 the Bernoulli family in Groningen received a letter saying that Johann's father-in-law was pinning for his daughter and grandchildren and did not have long to live.
	www.mathematik.ch /mathematiker/johann_bernoulli.php (2449 words)

	AllRefer.com - Bernoulli (Mathematics, Biography) - Encyclopedia (Site not responding. Last check: 2007-10-22)
		Bernoulli or Bernouilli[both: bernOOyE´] Pronunciation Key, name of a family distinguished in scientific and mathematical history.
		He was succeeded at Basel by his brother, Johann, Jean, or John Bernoulli, 1667–1748, who earlier had been professor at GrOningen and who was famous for his work in the field of integral and exponential calculus and was also a founder of the calculus of variations.
		His son, Daniel Bernoulli, 1700–1782, was a mathematician, physicist, and physician and has often been called the first mathematical physicist.
	reference.allrefer.com /encyclopedia/B/BernoulFam.html (387 words)

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