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	Carl Gustav Jakob Jacobi - Wikipedia, the free encyclopedia
		Jacobi suffered a breakdown from overwork in 1843.
		Jacobi was also the first mathematician to apply elliptic functions to number theory, for example, proving the polygonal number theorem of Pierre de Fermat.
		It was in analytical development that Jacobi’s peculiar power mainly lay, and he made many important contributions of this kind to other departments of mathematics, as a glance at the long list of papers that were published by him in Crelle’s Journal and elsewhere from 1826 onwards will sufficiently indicate.
	en.wikipedia.org /wiki/Karl_Gustav_Jacobi (695 words)

	Jacobi, Karl Gustav Jacob (1804-1851)
		Jacobi was appointed to a position at the University of Königsberg in 1826.
		After a collapse from overwork in 1843, Jacobi was allowed to stay in Berlin with a generous allowance from the King of Prussia.
		Jacobi was a notoriously hard worker, and several times had breakdowns due to overwork.
	www.daviddarling.info /encyclopedia/J/Jacobi.html (441 words)

	[No title] (Site not responding. Last check: 2007-10-16)
		Karl Gustav Jacob Jacobi, although born to a Jewish family, was born in Germany and given the French name Jacques Simon.
		Jacobi, still age 12, passed all the necessary classes to enter the university, but was could not continue because of the age restriction of age of the University of 16.
		Jacobi was promoted to full professor in 1832 while at the University of Konigsberg, and pursued his study of partial differential equations of the first order, which led to the publishing of "Structure and Properties of Determinants." He applied these theories to differential equations in Dynamics which again led to another publishing, Lectures in Dynamics.
	www.mhhe.com /math/calc/smithminton2e/cd/tools/timeline/jacobi.html (297 words)

	Carl Gustav Jacob Jacobi (Site not responding. Last check: 2007-10-16)
		Jacobi wrote the classic treatise (1829) on elliptic functions, of great importance in mathematical physics, because of the need to "integrate secondorder kinetic energy equations".
		Jacobi was also the first mathematician to apply elliptic functions to number theory, for example, proving the polygonal numbertheorem of Pierre de Fermat.
		It was in analytical development that Jacobi’s peculiar power mainly lay, and he made many important contributions ofthis kind to other departments of mathematics, as a glance at the long list of papers that were published by him inCrelle’s Journal and elsewhere from 1826 onwards will sufficiently indicate.
	www.therfcc.org /carl-gustav-jacob-jacobi-184834.html (626 words)

	Jacobi (Site not responding. Last check: 2007-10-16)
		Jacobi's promotion to associate professor on 28 December 1827 was mainly due to the praise heaped on him by Legendre.
		The triad of Bessel, Jacobi, and Franz Neumann thus became the nucleus of a revival of mathematics at German universities.
		Jacobi was not the first to study the functional determinant which now bears his name, it appears first in a 1815 paper of Cauchy.
	www-history.mcs.st-and.ac.uk /~history/Mathematicians/Jacobi.html (2485 words)

	Gustav
		Gustav Hasford Gustav Hasford was born in 1947, in Russelville, Alabama.
		Gustav Metzger Gustav Metzger was born to Polish-Jewish parents in refugee under the auspices of the Refugee Children mo...
		Gustav Ewers was a farmer’s son from Amelunx...
	www.brainyencyclopedia.com /topics/gustav.html (740 words)

	C. G. J. Jacobi. Who is C. G. J. Jacobi? What is C. G. J. Jacobi? Where is C. G. J. Jacobi? Definition of C. G. J. ...
		Karl Gustav Jacob Jacobi (Potsdam December 10, 1804 - Berlin February 18, 1851), was not only a great German mathematician but also considered by many as the most inspiring teacher of his time (Bell, p.
		In 1827 he became extraordinary and in 1829 ordinary professor of mathematics at Königsberg, and this chair he filled till 1842.
		Students of vector theory often encounter the Jacobi identity.
	www.knowledgerush.com /kr/encyclopedia/C._G._J._Jacobi (656 words)

	Jacobi, Karl Gustav Jacob (Site not responding. Last check: 2007-10-16)
		In 1827 Jacobi became extraordinary professor and in 1829 ordinary professor of mathematics at the University of Königsberg.
		Jacobi's De Formatione et Proprietatibus Determinantium (1841; "Concerning the Structure and Properties of Determinants") made pioneering contributions to the theory of determinants.
		Jacobi carried out important research in partial differential equations of the first order and applied them to the differential equations of dynamics.
	www.phy.bg.ac.yu /web_projects/giants/jacobi.html (293 words)

	Carl Gustav Jakob Jacobi : Carl Gustav Jacobi (Site not responding. Last check: 2007-10-16)
		Carl Gustav Jakob Jacobi : Carl Gustav Jacobi
		Karl Gustav Jacob Jacobi (1804—1851), German mathematician, was born at Potsdam, of Jewish parentage, on December 10, 1804.
		Its breadth varied from 160 to 200 yards; and only in one place, so as to contract the channel near the right and to form a considerable however, to remark that the breadth of alluvial soil between its outer and and sandy.
	www.termsdefined.net /ca/carl-gustav-jacobi.html (568 words)

	Famous Mathematicians
		Jacobi was very smart, especially for his age, and some consider him to have been a child prodigy.
		Karl later attended school in Potsdam where he quickly outgrew the first year class and was moved to the final year class.
		However, Karl recovered, and by 1842 he was lecturing on analytical mechanics at the University of Berlin.
	www.georgiasouthern.edu /~martha/famousmathematicians.html (3893 words)

	Carl Gustav Jakob Jacobi (Site not responding. Last check: 2007-10-16)
		Jacobi wrote the classic treatise (1829) on elliptic functions of great importance in mathematical physics of the need to "integrate second order energy equations".
		Jacobi was also the first mathematician to elliptic functions to number theory for example proving the polygonal number of Pierre de Fermat.
		It was in analytical development that Jacobi’s power mainly lay and he made many contributions of this kind to other departments mathematics as a glance at the long of papers that were published by him Crelle’s Journal and elsewhere from 1826 onwards will sufficiently indicate.
	www.freeglossary.com /Carl_Gustav_Jacob_Jacobi (928 words)

	Carl Gustav Jakob Jacobi - Term Explanation on IndexSuche.Com
		The motion_equations in rotational_form are integrable only for the three cases of ''the pendulum'', ''the symmetric top in a gravitational_field'', and a ''freely spinning body'', wherein solutions are in terms of elliptic functions.
		The Jacobi theta_functions, so frequently applied in the study of hypergeometric_series, were named in his honor.
		In his 1835 paper, Jacobi proved the following: :''If a univariate single-value function is periodic, then the ratio_of_the_periods cannot be a real_number, and that such a function cannot have more than two periods.'' Jacobi reduced the general quintic_equation to the form, : x^5 - 10 q^2x = p.
	www.indexsuche.com /Carl_Gustav_Jakob_Jacobi.html (644 words)

	Karl Gustav Jacob Jacobi Biography / Biography of Karl Gustav Jacob Jacobi 1800 To 1899: Mathematics Biography
		Karl Jacobi made his most notable contributions to mathematics in the area of elliptic functions.
		Jacobi was born into a relatively prosperous family in Potsdam, Germany, in 1804.
		Jacobi's main area of interest was in the branch of mathematics that dealt with elliptic functions.
	www.bookrags.com /biography-karl-gustav-jacob-jacobi-scit-05123 (255 words)

	Jacobi
		Carl Jacobi Carl Gustav Jakob Jacobi for the mathematician (1804-1851).
		Jacobi There are several Jacobi : Mathematician Carl Gustav Jakob Jacobi American author Carl Richard Jacobi Danish auth...
		Moritz von Jacobi Moritz Hermann von Jacobi (telegraphy.
	www.brainyencyclopedia.com /topics/jacobi.html (176 words)

	Jacobi, Karl Gustav Jacob (Site not responding. Last check: 2007-10-16)
		Jacobi invented a functional determinant - now called the Jacobian determinant - which has been of considerable use in later analytical investigations, and was even supportive in the development of quantum mechanics.
		He advanced the theory of the configurations of rotating liquid masses by showing that the ellipsoids now known as Jacobi's ellipsoids are figures of equilibrium.
		For instance, he introduced elliptic functions into number theory and into the theory of integration, which in turn connected with the theory of differential equations and his own principle of the last multiplier.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/J/Jacobi/1.html (168 words)

	Dictionary of Meaning www.mauspfeil.net (Site not responding. Last check: 2007-10-16)
		The motion equations in rotational form are Jacobi integral integrable only for the three cases of ''the pendulum'', ''the symmetric top in a gravitational field'', and a ''freely spinning body'', wherein solutions are in terms of elliptic functions.
		Valuable also are his papers on Abelian transcendents, and his investigations in the number theory theory of numbers, in which latter department he mainly supplements the labours of Karl Gauss K.
		Students of Vector (spatial) vector theory often encounter the Jacobi identity, those studying differential equations often encounter the Jacobian determinant, and those working in number theory and cryptography use the Jacobi symbol.
	www.mauspfeil.net /Carl_Gustav_Jakob_Jacobi.html (750 words)

	Carl Gustav Jakob Jacobi - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-16)
		rightKarl Gustav Jacob Jacobi Karl Gustav Jacob Jacobi (Potsdam December 10, 1804 - Berlin February 18, 1851), was not only a great German mathematician but also considered by many as the most inspiring teacher of his time (Bell, p.
		In 1827 he became extraordinary and in 1829 ordinary professor of mathematics at Königsberg, and this chair he filled untill 1842.
		de:Carl Gustav Jacob Jacobi fr:Charles Gustave Jacob Jacobi nl:Carl Jacobi sl:Carl Gustav Jakob Jacobi
	www.indexuslist.de /keyword/Carl_Gustav_Jakob_Jacobi.php (701 words)

	References for Jacobi (Site not responding. Last check: 2007-10-16)
		B N C Fradlin, Jacobi's contribution to the development of mathematics and mechanics (on the occasion of the 175th anniversary of his birth) (Russian), in Mathematics : Questions concerning methods, history and methodology (Tula, 1983), 114-119.
		C G Fraser, Jacobi's result (1837) in the calculus of variations and its reformulation by Otto Hesse (1857) : A study in the changing interpretation of mathematical theorems, in History of mathematics and education : ideas and experiences (Göttingen, 1996), 149-172.
		H Pieper, Carl Gustav Jacob Jacobi, in Mathematics in Berlin (Berlin, 1998), 41-48.
	www-groups.dcs.st-and.ac.uk /~history/References/Jacobi.html (418 words)

	A printable page of our project
		Jacobi's father was a banker and his family were prosperous so he received a good education at the University of Berlin.
		However Jacobi wrote a long memoir De determinantibus functionalibus in 1841 devoted to the this determinant.
		The Jacobi elliptic functions are defined in terms of the integral:
	www.andrews.edu /~calkins/math/biograph/199900/biojacob.htm (760 words)

	Carl Gustav, Carl Gustav info
		Johann Carl Gottlieb Gustav Launer was born in Langenbielau, Reichenbach, Silesia, Prussia on...
		Definition of Carl Gustav von Rosen Count Carl Gustav von Rosen (19091977) was a Swedish pioneer aviator, son of the explorer Erik von Rosen (1879ñ1948) and nephew of Karin G?ring, wife of Hermann...
		C.G. Jung Carl Gustav Jung (1875-1961) was considerably important in the analytical movement for his being generally regarded as the dissident prototype, for the impact of his break as well as for the...
	www.stbart.info /CarlGustav (1533 words)

	Imago Mundi - Karl Jacobi / Friedrich Jacobi.
		Jacobi (Karl Gustav Jacob), mathématicien né à Postdam le 10 décembre 1804 1804, m.
		Jacobi a donné en 1836 et en 1837, pour intégrer les équations différentielles du mouvement elliptique, une méthode importante au point de vue de la variation des constantes.
		Jacobi a annoncé en 1834 qu'une masse liquide homogène reste en équilibre après avoir pris la forme d'un ellipsoïde à trois axes inégaux, quand elle tourne d'un mouvement uniforme autour d'un axe fixe, et que la loi newtonienne régit l'attraction de ses molécules.
	www.cosmovisions.com /Jacobi.htm (689 words)

	Karl Gustav Jacob Jacobi Biography / Biography of Karl Gustav Jacob Jacobi World of Mathematics Biography
		Karl Gustav Jacob Jacobi, who attracted early attention from luminaries such as Adrien-Marie Legendre and Karl Gauss, appeared alongside and sometimes worked with a handful of innovative contemporaries like William Hamilton, Augustin-Louis Cauchy, Peter Dirichlet, and Niels Abel.
		Jacobi's own contributions range across older subjects in math such as number theoryand newer fields like analysis.
		While the political instabilities of post-revolutionary times sometimes threatened Jacobi's livelihood, his sheer genius was always enough to attract a new prote.....
	www.bookrags.com /biography-karl-gustav-jacob-jacobi-wom (260 words)

	Jakob
		Jakob Grimm Jakob Ludwig Karl Grimm (mythologist, was born at Hanau, in Hesse-Cassel.
		He is chiefly known as the editor of the Thesaurus antiquit...
		Jakob Heine Jakob (or Jacob) Heine (Karl Oskar Medin.
	www.brainyencyclopedia.com /topics/jakob.html (602 words)

	AllRefer.com - Carl Gustav Jacob Jacobi (Mathematics, Biography) - Encyclopedia
		Carl Gustav Jacob Jacobi[kArl goos´tAf yA´kOp yAkO´bE] Pronunciation Key, 1804–51, German mathematician.
		He was an outstanding teacher and was professor of mathematics at KOnigsberg (1827–42) and lectured at Berlin from 1844.
		His brother, Moritz Hermann Jacobi, 1801–74, was a physicist and engineer who was the more famous of the two during their lifetimes.
	reference.allrefer.com /encyclopedia/J/Jacobi-C.html (221 words)

	jacob
		Grep of noun jacob francois jacob jacob jacob's ladder jacob's rod jacob's staff jacob epstein jacob harmensen jacobean jacobean lily jacobi jacobin jacobinism jacobite jacobs jacobus arminius john jacob astor karl gustav jacob jacobi sir jacob epstein Overview of noun jacob The noun jacob has 2 senses (no senses from tagged texts) 1.
		Jacob, Francois Jacob -- (French biochemist who (with Jacques Monod) studied regulatory processes in cells (born in 1920)) 2.
		Jacob -- ((Old Testament) son of Isaac; brother of Esau; father of the twelve patriarchs of Israel; Jacob wrestled with God and forced God to bless him so God gave Jacob the new name of Israel (meaning `one who has been strong against God'))
	www.beetfoundation.com /words/j/alt.jacob.html (198 words)

	JOHANN GEORG JACOBI - LoveToKnow Article on JOHANN GEORG JACOBI (Site not responding. Last check: 2007-10-16)
		(1740-1814), German poet, elder brother of the philosopher, F. Jacobi (I743I819), was born at Dsseldorf on the 2nd of September 1740.
		In this year he made the acquaintance of J. (Vater) Gleim, who, attracted by the young poets Foeiische Versuche (1764), became his warm friend, and a lively literary correspondence ensued between Gleim in Halberstadt and Jacobi in Halle.
		In order to have Jacobi near him, Gleim succeeded in procuring for him a prebendal stall at the cathedral of Halberstadt in 1769, and here Jacobi issued a number of anacreontic lyrics and sonnets.
	49.1911encyclopedia.org /J/JA/JACOBI_JOHANN_GEORG.htm (138 words)

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