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	Augustin-Louis Cauchy
		Cauchy was a stanch adherent of the Bourbons and after the Revolution of 1830 followed Charles X into exile.
		Cauchy is best known for his achievements in the domain of mathematics, to almost every branch of which he made numerous and important contributions.
		Cauchy was also a pioneer in extending the applications of mathematics to physical science, especially to molecular mechanics, optics, and astronomy.
	www.catholicity.com /encyclopedia/c/cauchy,augustin-louis.html (841 words)

	Augustin Louis Cauchy - Wikipedia, the free encyclopedia
		In 1833 the deposed king Charles X of France summoned Cauchy to be tutor to his grandson, the duke of Bordeaux, an appointment which enabled Cauchy to travel and thereby become acquainted with the favourable impression which his investigations had made.
		Returning to Paris in 1838, Cauchy refused a proffered chair at the Collège de France, but in 1848, the oath having been suspended, he resumed his post at the École Polytechnique, and when the oath was reinstituted after the coup d'état of 1851, Cauchy and François Arago were exempted from it.
		Cauchy had two brothers: Alexandre Laurent Cauchy (1792–1857), who became a president of a division of the court of appeal in 1847, and a judge of the court of cassation in 1849; and Eugène François Cauchy (1802–1877), a publicist who also wrote several mathematical works.
	en.wikipedia.org /wiki/Augustin_Louis_Cauchy (659 words)

	Augustin-Louis Cauchy - bedeutung definition erklärung glossar zu Augustin-Louis Cauchy (Site not responding. Last check: 2007-10-04)
		Auf Anraten von Lagrange lernte Cauchy zunächst klassische Sprachen, was ihn auf eine weitere Mathematikausbildung vorbereiten sollte.
		Cauchy wurde aufgrund seiner wissenschaftlichen Meriten und seiner Nähe zu den Jesuiten ausgewählt, den Prinzen in Mathematik und den Naturwissenschaften, insbesondere Chemie und Physik, zu unterrichten.
		Cauchy hatte schon 1815 Wellengleichungen untersucht und sich vor allem in seinen Studien zur Elastizität mit linearen partiellen Differentialgleichungen beschäftigt, was er für die Untersuchung von Lichtwellen ausnutzen konnte.
	augustin-louis_cauchy.lexikona.de /art/Augustin-Louis_Cauchy.html (3558 words)

	Expert About ca:Cauchy
		Cauchy was the first to make a careful study of the conditions for CONVERGENCE of infinite SERIES; he also gave a rigorous definition of an integral independent of the process of differentiation and developed the mathematical theory of elasticity.
		Cauchy was the oldest of six children of a Catholic lawyer, classical scholar, police officer and supporter of the king.
		Cauchy number is proportional to { (inertial force) / (compressibility force) } and is used in momentum transfer in general and compressible flow calculations in particular.
	www.expertsite.biz /dir/ca/Cauchy.htm (1602 words)

	Cauchy biography
		Cauchy was the first to make a rigorous study of the conditions for convergence of infinite series in addition to his rigorous definition of an integral.
		Cauchy was elected but, after refusing to swear the oath, was not appointed and could not attend meetings or receive a salary.
		Cauchy's creative genius found broad expression not only in his work on the foundations of real and complex analysis, areas to which his name is inextricably linked, but also in many other fields.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Cauchy.html (2333 words)

	10.6. Cauchy, Augustin (1789-1857)
		Augustin Cauchy was the mathematician that set the foundation of rigor in modern analysis.
		Augustin Cauchy died on May 23, 1857, after contracting a fever on a trip to the country to help restore his health.
		Cauchy is famous in the field of mathematics for two main reasons: his numerous contributions to the science and his immense publishing.
	web01.shu.edu /projects/reals/history/cauchy.html (1349 words)

	Cauchy sequence - Wikipedia, the free encyclopedia
		In mathematical analysis, a Cauchy sequence, named after Augustin Cauchy, is a sequence whose elements become close as the sequence progresses.
		Cauchy sequences require the notion of distance so they can only be defined in a metric space.
		They are of interest because in a complete space, all such sequences converge to a limit, and one can test for "Cauchiness" without knowing the value of the limit (if it exists), in contrast to the definition of convergence.
	en.wikipedia.org /wiki/Cauchy_sequence (586 words)

	Encyclopedia: Augustin Louis Cauchy
		The Cauchy-Lorentz distribution, named after Augustin Cauchy, is a continuous probability distribution with probability density function where x0 is the location parameter, specifying the location of the peak of the distribution, and Î³ is the scale parameter which specifies the half-width at half-maximum (HWHM).
		In mathematics, the Cauchy determinant in linear algebra, named after Augustin Cauchy, is the determinant of the complex n×n matrix CM with entries for Here it is assumed that The explicit formula for the determinant is Example The determinant of the Hilbert matrix is the case xi = yi = i...
		In mathematics, the Cauchy principal value of certain improper integrals is defined as either the finite number where b is a point at which the behavior of the function f is such that for any a < b and for any c > b (one sign is + and the other is âˆ’).
	www.nationmaster.com /encyclopedia/Augustin-Louis-Cauchy (2483 words)

	Augustin Louis Cauchy
		Having received his early education from his father Louis Francois Cauchy (1760-1848), who held several minor public appointments and counted Lagrange and Laplace among his friends, Cauchy entered École Centrale du Pantheon in 1802, and proceeded to the École Polytechnique in 1805, and to the École des Ponts et Chaussées in 1807.
		Cauchy had two brothers: Alexandre Laurent Cauchy (1792-1857), who became a president of a division of the court of appeal in 1847, and a judge of the court of cassation in 1849; and Eugene Francois Cauchy (1802-1877), a publicist who also wrote several mathematical works.
		The genius of Cauchy was promised in his simple solution of the problem of Apollonius, i.e.
	www.sciencedaily.com /encyclopedia/augustin_louis_cauchy (689 words)

	Augustin-Louis Cauchy (Site not responding. Last check: 2007-10-04)
		Augustin-Louis Cauchy was one of the greatest mathematicians during the nineteenth century.
		Cauchy was exposed to famous scientists as a child.
		Cauchy married Aloïse de Bure in 1818, and she was a close relative of a publisher who was to publish most of Cauchy's work [Freudenthal, p.
	math.berkeley.edu /~robin/Cauchy (531 words)

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		Cauchy, Augustin Louis, Baron Cauchy, Augustin Louis, BaronōgüstăN´ lwē bärôN´ kōshē´, 1789-1857, French mathematician.
		Cournot, Antoine Augustin Cournot, Antoine AugustinäNtwän´ ōgüstăN´ koornō´, 1801-77, French mathematician and economist.
		Calmet, Augustin Calmet, AugustinōgüstăN´ kälmā´, 1672-1757, French biblical scholar, a Benedictine abbot at Nancy and Sens.
	www.encyclopedia.com /searchpool.asp?target=Augustin+Cauchy (497 words)

	AUGUSTIN LOUIS, BARON CAUCHY - LoveToKnow Article on AUGUSTIN LOUIS, BARON CAUCHY (Site not responding. Last check: 2007-10-04)
		Having received his early education from his father Louis Francois Cauchy (1760-1848), who held several minor public appointments and counted Lagrange and Laplace among his friends, Cauchy entered cole Centrale du Pantheon in 1802, and proceeded to the cole Polytechnique in 1805, and to the cole des Pouts et Chausses in 1807.
		In 1833 the deposed king Charles X. summoned him to be tutor to his grandson, the duke of Bordeaux, an appointment which enabled Cauchy to travel and thereby become acquainted with the favorable impression which his investigations had made.
		Cauchy had two brothers: ALEXANDRE LAURENT (1792 1857), who became a president of a division of the court of appeal in 1847, and a judge of the court of cassation in 1849; and EUG~NE FRANc0Is (1802-1877), a publicist who also wrote several mathematical works.
	www.1911encyclopedia.org /C/CA/CAUCHY_AUGUSTIN_LOUIS_BARON.htm (575 words)

	Augustin-Louis Cauchy History Summary (Site not responding. Last check: 2007-10-04)
		Cauchy held very conservative political views, which caused him a great deal of trouble politically and professionally, but he adamantly refused to act in a way contrary to his beliefs at any time in his life.
		Cauchy was born in Paris a month after the Bastille was stormed in the first of the French revolutions.
		Cauchy died in 1857 at the age of 67, leaving behind a great legacy of work touching on almost every part of mathematics.
	www.bookrags.com /history/sciencehistory/augustin-louis-cauchy-scit-05123 (636 words)

	Cauchy, Augustin Louis (Site not responding. Last check: 2007-10-04)
		Cauchy was born in Paris, studied engineering there and worked for a time in construction, then became a professor at the Ecole Polytechnique 1816 and later at the Collège de France.
		From 1848 to 1852 Cauchy was a professor at the Sorbonne.
		In 1805 Cauchy provided a simple solution to the problem of Apollonius, namely to describe a circle touching three given circles, and in 1816 he published a paper on wave modulation.
	cartage.org.lb /en/themes/Biographies/MainBiographies/C/Cauchy/1.html (310 words)

	Augustin Louis Cauchy
		Augustin Louis Cauchy's father was active in his education.
		From 1804 Cauchy attended classes in mathematics and he took the entrance examination for the Ecole Polytechnique in 1805.
		Numerous terms in mathematics bear Cauchy's name: the Cauchy integral theorem, in the theory of complex functions, the Cauchy-Kovalevskaya existence theorem for the solution of partial differential equations, the Cauchy-Riemann equations, the Cauchy distribution in probability, and Cauchy sequences.
	www.stetson.edu /~efriedma/periodictable/html/Cu.html (626 words)

	References for Cauchy
		A N Bogolyubov, Augustin Cauchy and his contribution to mechanics and physics (Russian), Studies in the history of physics and mechanics, "Nauka" (Moscow, 1988), 179-201.
		P Gario, Cauchy's theorem on the rigidity of convex polyhedra (Italian), Archimede 33 (1-2) (1981), 53-69.
		C A Truesdell, Cauchy and the modern mechanics of continua, Rev.
	www-history.mcs.st-and.ac.uk /history/References/Cauchy.html (597 words)

	Augustin-Louis Cauchy (1789-1857) (Site not responding. Last check: 2007-10-04)
		Cauchy secured an instructorship at the Polytechnique, where he rose to be professor of mechanics in 1816.
		During this period he undertook a thorough reorganization of the foundations of the calculus, infusing the subject, as he put it, with the same rigor that was to be found in geometry.
		Cauchy was the foremost French mathematician of the nineteenth century; his 789 papers and seven books rank him second only to Euler in terms of productivity.
	www.mhhe.com /math/calc/smithminton/timeline/11.html (327 words)

	Biographies of a Few Famous Mathematicians
		Cauchy returned to Paris in 1813, and was persuaded by Laplace to devote himself entirely to his mathematical studies.
		In these three works, Cauchy clarified the principles of calculus and put them on a satisfactory basis by developing them with the aid of limits and continuity, concepts now considered vital to analysis.
		Near the end of his life, Cauchy made substantial contributions to the theory of numbers and wrote three important papers on error theory.
	members.aol.com /Mattf23/Pages/biog.htm (1043 words)

	Augustin-Louis, Baron Cauchy -- Britannica Concise Encyclopedia - The online encyclopedia you can trust!
		At the onset of the Reign of Terror (1793–94) during the French Revolution, Cauchy's family fled from Paris to the village of Arcueil, where Cauchy first became acquainted with the mathematician Pierre-Simon Laplace and the chemist Claude-Louis Berthollet.
		Cauchy made substantial contributions to the theory of numbers and wrote three important papers on error theory.
		His work in optics provided a mathematical basis for the workable but somewhat unsatisfactory theory of the properties of the ether, a hypothetical, omnipresent medium once thought to be the conductor of light.
	www.britannica.com /ebc/article-9021867 (479 words)

	AUGUSTIN LOUIS CAUCHY FACTS AND INFORMATION
		Having received his early education from his father Louis_FranÃ§ois_Cauchy (1760–1848), who held several minor public appointments and counted Lagrange and Laplace among his friends, Cauchy entered the Ãcole_Centrale_du_PanthÃ©on in 1802, and proceeded to the Ãcole_Polytechnique in 1805, and to the Ãcole_Nationale_des_Ponts_et_ChaussÃ©es in 1807.
		Returning to Paris in 1838, Cauchy refused a proffered chair at the CollÃ¨ge_de_France, but in 1848, the oath having been suspended, he resumed his post at the Ãcole Polytechnique, and when the oath was reinstituted after the coup_d'Ã©tat of 1851, Cauchy and FranÃ§ois_Arago were exempted from it.
		Cauchy had two brothers: Alexandre_Laurent_Cauchy (1792–1857), who became a president of a division of the court of appeal in 1847, and a judge of the court of cassation in 1849; and EugÃ¨ne_FranÃ§ois_Cauchy (1802–1877), a publicist who also wrote several mathematical works.
	www.beatlesfacts.com /Augustin_Louis_Cauchy (643 words)

	Cauchy (Site not responding. Last check: 2007-10-04)
		Cauchy concurred the existence of recurrent elliptic functions, gave the first incentive to the theory of functions, and laid the foundation for the modern treatment of the convergence of infinite series.
		Cauchy invented the calculus of residues, and in general was one of the leaders of the 19
		Cauchy died in 1857, he was influential in every branch of mathematics.
	govschl.ndsu.nodak.edu /~rausch/cauchy.htm (199 words)

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		Pajou, Augustin Pajou, AugustinōgüstăN´ päzhoo´, 1730-1809, French sculptor.
		Scribe, Augustin EugèneōgüstăN´ özhĕn´ skrēb, 1791-1861, French dramatist and librettist.
		Sainte-Beuve, Charles Augustin Sainte-Beuve, Charles Augustinshärl ōgüstăN´ săNt-böv, 1804-69, French literary historian and critic.
	www.encyclopedia.com /search.asp?target=Augustin+Cauchy&rc=10&fh=12&fr=11 (519 words)

	Augustin-Louis Cauchy (Site not responding. Last check: 2007-10-04)
		Cauchy was born in Paris and educated as an engineer at the École Polytechnique.
		Cauchy saw the need for more rigor in analysis and developed tests for the convergence of infinite series and published an exposition of calculus based on limits; he was not completely successful, since he did not have the constructions of irrational numbers later given by Cantor, Dedekind, and Weierstrass.
		Except for Euler, Cauchy was the most prolific mathematician of all time, and the still in effect four page limit for papers in Compte Rendus was instituted to deal with his output.
	www.mthcsc.wfu.edu /~kuz/Stamps/Cauchy/Cauchy.html (204 words)

	Augustin-Louis Cauchy (Site not responding. Last check: 2007-10-04)
		In calculus, Cauchy made his presence known by formulating conditions and proving propositions such as the Cauchy criterion for convergence, that a continuous function has a zero between the endpoints where its signs are different, and ``invented what is now called the Jacobian,'' which he restricted to two and three dimensions [Freudenthal, p.
		Cauchy also used logarithmic residues as a means in defining the number of roots of a function in a domain, as well as the formula for the sums over the roots of the function.
		Cauchy was not a slacker in the field of algebra as well.
	math.berkeley.edu /%7Erobin/Cauchy/accomplishments.html (312 words)

	CATHOLIC ENCYCLOPEDIA: Augustin-Louis Cauchy
		He owed his early training to his father, a man of much learning and literary taste, and, at the suggestion of La Grange, who early detected his talents and took a lively
		Cauchy was an admirable type of the true Catholic savant.
		During the famine of 1846 in Ireland Cauchy made an
	www.newadvent.org /cathen/03457a.htm (836 words)

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