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	Jacobi biography
		Carl was the second son of the family, the eldest being Moritz Jacobi who eventually became a famous physicist.
		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.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Jacobi.html (2597 words)

	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/Carl_Gustav_Jakob_Jacobi (728 words)

	PlanetMath: Carl Gustav Jacob Jacobi
		The second son of a successful banker, young Carl was home-schooled until the age of 12, when he entered the Potsdam high school.
		In the late 1820s, Jacobi did significant work on elliptic functions in relation to fractions, attracting the interest and praise of Carl Friedrich Gauss and Adrien-Marie Legendre.
		This is version 3 of Carl Gustav Jacob Jacobi, born on 2007-03-13, modified 2007-03-14.
	planetmath.org /encyclopedia/JacquesSimonJacobi.html (186 words)

	Carl Gustav Jakob Jacobi -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-14)
		Jacobi wrote the classic treatise (1829) on (additional info and facts about elliptic function) elliptic functions, of great importance in mathematical physics, because of the need to "integrate second order kinetic energy equations".
		Jacobi was also the first mathematician to apply elliptic functions to (additional info and facts about number theory) number theory, for example, proving the polygonal number theorem of (French mathematician who founded number theory; contributed (with Pascal) to the theory of probability (1601-1665)) Pierre de Fermat.
		The Jacobi (additional info and facts about theta function) theta functions, so frequently applied in the study of (additional info and facts about hypergeometric series) hypergeometric series, were named in his honor.
	www.absoluteastronomy.com /encyclopedia/C/Ca/Carl_Gustav_Jakob_Jacobi.htm (731 words)

	Carl Gustav Jakob Jacobi Summary
		Jacobi's main area of interest was in the branch of mathematics that dealt with elliptic functions.
		Jacobi was also the first mathematician to apply elliptic functions to number theory, for example, proving the 2 square and 4 square theorems 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.
	www.bookrags.com /Carl_Gustav_Jakob_Jacobi (2337 words)

	The Hindu : Carl Jacobi: Leader in mathematical analysis
		CARL GUSTAV Jacobi was born on December 10, 1804 (Potsdam, Germany), the son of a prosperous banker.
		Jacobi's entire career was spent in teaching and research except one ghastly interlude in politics and occasional trips to Italy to recuperate his health.
		Jacobi broke new ground in the theory of numbers, by using elliptic functions to prove Fermat's assertion: any integer is the sum of the squares of no more than four integers.
	www.hinduonnet.com /seta/2001/11/01/stories/2001110100150401.htm (616 words)

	Carl Gustav Jakob Jacobi Article, CarlGustavJakobJacobi Information (Site not responding. Last check: 2007-10-14)
		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.anoca.org /he/theory/carl_gustav_jakob_jacobi.html (652 words)

	Jacobi
		Jacobi's father was a banker and his family were prosperous so he received a good education at the University of Berlin.
		In 1834 Jacobi proved that if a single-valued function of one variable is doubly periodic then the ratio of the periods is imaginary.
		Jacobi was not the first to study the functional determinant which now bears his name, it appears first in a 1815 paper of Cauchy.
	library.wolfram.com /examples/quintic/people/Jacobi.html (274 words)

	Jacobi field - Wikipedia, the free encyclopedia
		In Riemannian geometry, a Jacobi field is a certain type of vector field along a geodesic γ in a Riemannian manifold.
		Jacobi fields are one of the basic objects of study in Riemannian geometry; for the origin of the name, see Carl Jacobi.
		Jacobi fields give a natural generalization of this phenomenon to arbitrary Riemannian manifolds.
	www.wikipedia.org /wiki/Jacobi_field (499 words)

	Carl Gustav Jacob Jacobi (Site not responding. Last check: 2007-10-14)
		Carl Jacobi's early education was given by an uncle on his mother's side.
		Jacobi presented a paper concerning iterated functions to the Academy of Sciences in Berlin in 1825.
		One of the prettiest results in the global theory of curves is a theorem of Jacobi published in 1842: "The spherical image of the normal directions along a closed differentiable curve in space divides the unit sphere into regions of equal area".
	www.stetson.edu /~efriedma/periodictable/html/I.html (669 words)

	Carl Gustav Jakob Jacobi - InfoSearchPoint.com (Site not responding. Last check: 2007-10-14)
		de:Carl Gustav Jacob Jacobi sl:Carl Gustav Jakob Jacobi
		In 1827 he became extraordinary and in 1829 ordinary professor of mathematics at Königsberg, and this chair he filled till 1842.
		His investigations in elliptic functions, the theory of which he established upon quite a new basis, and more particularly his development of the theta-function, as given in his great treatise Fundamenta nova theoriae functionum ellipticarum (Königsberg, 1829), and in later papers in Crelle's Journal, constitute his grandest analytical discoveries.
	www.infosearchpoint.com /display/C._G._J._Jacobi (681 words)

	Carl Gustav Jakob Jacobi
		[[Image Link]] 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.
		Students of vector theory often encounter the Jacobi identity.
		And students of differential equations often encounter the Jacobian determinant.
	www.sciencedaily.com /encyclopedia/carl_gustav_jakob_jacobi (711 words)

	RANKINGCHECK.NET - Informationen über Carl Gustav Jacob Jacobi in der Kategorie Suchmaschinenoptimierung
		Jacobis Begabung für die Mathematik, aber auch für Sprachen, zeigte sich schon früh.
		Man zählt Jacobi zu den fleißigsten und vielseitigsten Mathematikern der Geschichte.
		Auch als Lehrer war Jacobi eine überragende Persönlichkeit, er wurde von seinen Schülern als andquot;Euler des 19.
	www.rankingcheck.net /Carl_Gustav_Jacob_Jacobi.htm (347 words)

	Carl Jacobi -- Encyclopædia Britannica
		Jacobi was first tutored by an uncle, and, by the end of his first year at the Gymnasium (1816–17), he was ready to enter the University of Berlin.
		Karl Gustav Jacobi was born on Dec. 10, 1804, in Potsdam in what is now Germany.
		Carl Bert Albert was born on May 10, 1908, in McAlester, Okla. He graduated from the University of Oklahoma in 1931 and, after receiving two law degrees, was admitted to the bar in 1935.
	www.britannica.com /eb/article-9043197?tocId=9043197 (736 words)

	Jacobi, Karl Gustav Jacob (Site not responding. Last check: 2007-10-14)
		In 1827 Jacobi became extraordinary professor and in 1829 ordinary professor of mathematics at the University of Königsberg.
		Unaware of similar endeavours by Abel, Jacobi formulated a theory of elliptic functions based on four theta functions.
		Jacobi's De Formatione et Proprietatibus Determinantium (1841; "Concerning the Structure and Properties of Determinants") made pioneering contributions to the theory of determinants.
	www.phy.bg.ac.yu /web_projects/giants/jacobi.html (293 words)

	Carl Gustav Jakob Jacobi: Definition and Links by Encyclopedian.com - All about Carl Gustav Jakob Jacobi
		Carl Gustav Jakob Jacobi: Definition and Links by Encyclopedian.com - All about Carl Gustav Jakob Jacobi
		Karl Gustav Jacob Jacobi (1804—1851), German mathematician, was born at Potsdam, of Jewish parentage, on December 10, 1804.
		The original text for this article was based on the 1911 Encyclopaedia Britannica.
	www.encyclopedian.com /ca/Carl-Jacobi.html (432 words)

	Dr. Carl Gustav Jung born on July 26, 1875
		CARL GUSTAV JUNG (1875-1961) was a Swiss-German psychiatrist whose theories are the first real explanation of what the psyche is at the deepest level of our existence.
		Carl found that this was a convenient escape mechanism and continued to use these unconscious fainting spells so that he wouldn't have to study or go to school.
		His father was expressing his concern that his son, Carl, would not be able to overcome these unconsious fainting spells, and therefore not be able to take care of himself.
	www.shadowdance.com /cgjung/cgjung2.html (848 words)

	Carl Gustav Jakob Jacobi : Carl Gustav Jacobi
		Carl Gustav Jakob Jacobi : Carl Gustav Jacobi
		terms defined : Carl Gustav Jakob Jacobi : Carl Gustav Jacobi
		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)

	Biographies of Math - Mathematicians and Scientists who contributed to the growth of math (Site not responding. Last check: 2007-10-14)
		He showed mathematical genius by the age of 15, and in 1823 proved that there was no algebraic formula for the solution of a general polynomial equation of the fifth degree.
		He developed the concept of elliptic functions independently of Carl Gustav Jacobi, and the theory of Abelian integrals and functions became a central theme of later 19th-c analysis.
		The daughter of a professor of mathematics at Bologna, she was a child prodigy, speaking six languages by the age of 11.
	www.globaltouch.net /GT/GT_1/oth/bios_a-b.htm (566 words)

	BBC - h2g2 - Carl Gustav Jung - His Life
		Carl Gustav Jung was one of the greatest explorers of the human mind, his ideas having profoundly influenced such varied disciplines as art, anthropology, atomic physics, philosophy, mythology, theology and parapsychology, as well as the development of psychology and psychotherapy.
		Carl was named after his paternal grandfather, a German-born physician and professor of surgery at the University of Basel, as well as a Grand Master of the Freemasons of Switzerland.
		This galvanised Carl into action and, feeling somewhat guilty, he set about the task of 'curing' himself through hard work, becoming a solitary, bookish, intellectual youth, who continued to puzzle over religious and philosophical questions.
	www.bbc.co.uk /dna/ww2/A653410 (1931 words)

	A Short History
		Carl Friedrich Gauss (1777-1855) proves the fundamental theorem of algebra: Every nonconstant polynomial equation has at least one root.
		Carl Gustav Jacobi (1804-1851) studies modular equations for elliptic functions.
		Carl Johan Hill (1793-1863) remarks that Jerrard's 1834 work is contained in Bring's 1786 work.
	library.wolfram.com /examples/quintic/timeline.html (1628 words)

	References for Jacobi (Site not responding. Last check: 2007-10-14)
		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-history.mcs.st-andrews.ac.uk /References/Jacobi.html (418 words)

	Carl Gustav Jung and Jungian Thought - The Gold Scales
		In our times there is an awakening interest in Carl Gustav Jung, the founder of a world-wide therapeutic community.
		What is more or less true, is that Carl Jung established a sort of legitimated belief system in partial competition to that of Dr. Sigmund Freud's.
		Man comes in touch with and adapts to the surrounding world by a mental connectivity system, is Carl Jung's postulate.
	oaks.nvg.org /eg4ra6.html (3559 words)

	Carl Jung
		Carl Gustav Jung was born in Kesswil, Switzerland.
		He married Emilie Preiswerk (1848-1923) in 1874; Carl Gustav remained a single child for a long time before the birth of his sister, Gertrud.
		by J. Singer (1994); Carl Gustav Jung by Frank McLynn (1996); A Life of Jung by Ronald Hayman (1999); Jung in Contexts, ed.
	www.kirjasto.sci.fi /cjung.htm (1791 words)

	BBC - h2g2 - Carl Gustav Jung - the Man - A653429
		To Carl Gustav Jung, life was so ephemeral, so insufficient, that he likened it to a plant that lived on its rhizome - its true life being invisible, hidden in the rhizome.
		A disproportionately large number of Jung's patients and followers were women, being powerfully attracted to him and gathered round him to form a sizeable coterie, known somewhat irreverently as the Jungfrauen.
		Indeed, this 'cult of women' (including Aniela Jaffé, Jolanda Jacobi, Marie-Louise Von Franz, Barbara Hannah, Esther Harding, Liliane Frey-Rohn et al) played a key role in the advancement of Jung's career, becoming practitioners and taking positions of power in both the Analytical Psychology Club (founded 1916) and the CG Jung Training Institute (founded 1948).
	www.bbc.co.uk /dna/h2g2/alabaster/A653429 (1133 words)

	AllRefer.com - Carl Gustav Jacob Jacobi (Mathematics, Biography) - Encyclopedia (Site not responding. Last check: 2007-10-14)
		You are here : AllRefer.com > Reference > Encyclopedia > Mathematics, Biographies > Carl Gustav Jacob Jacobi
		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.
	reference.allrefer.com /encyclopedia/J/Jacobi-C.html (221 words)

	Hamilton-Jacobi-Bellman equation - Wikipedia, the free encyclopedia
		The corresponding discrete-time equation is usually referred to as the Bellman equation.
		In continuous time, the result can be seen as an extension of earlier work in classical physics by William Rowan Hamilton and Carl Gustav Jacob Jacobi.
		The unknown V(x, t) in the above PDE is the Bellman 'value function', that is the cost incurred from starting in state x at time t and controlling the system optimally from then until time T.
	en.wikipedia.org /wiki/Hamilton-Jacobi-Bellman_equation (316 words)

	Man and His Symbols by Carl Gustav Jung (Site not responding. Last check: 2007-10-14)
		Similar to any school of thought, Jung's depth psychology has its own unique language, and understanding these specialized terms is essential to grasping even a small portion of the subject.
		Jolande Jacobi, the famed Jungian analyst, in part five, relates the methods of Jungian analysis in terms of the importance of dreams and symbols.
		Lastly, von Franz concludes with a brilliant essay on "Science and the Unconscious", summarizing the entire book, and emphasising the importance of symbols and the unconscious and their on-going interpretation in the effort to understanding ourselves.
	www.internetcross.com /item/0440351839 (734 words)

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