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Topic: Karl Gustav Jacobi


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  Carl Gustav Jakob Jacobi - Wikipedia, the free encyclopedia
Jacobi wrote the classic treatise (1829) on 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 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   (704 words)

  
 Jacobi   (Site not responding. Last check: 2007-10-13)
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-groups.dcs.st-and.ac.uk /~history/Mathematicians/Jacobi.html   (2485 words)

  
 Carl Gustav Jakob Jacobi   (Site not responding. Last check: 2007-10-13)
The motion equations in rotational form are Jacobi integral 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 function, so frequently applied in the study of Hypergeometric series, were named in his honor.
He was one of the early founders of the theory of determinants; in particular, he invented the functional determinant formed of the n2 differential coefficients of n given functions of n independent variables, which now bears his name (Jacobian), and which has played an important part in many analytical investigations.
wilmingtonnc.biz /search/Carl_Gustav_Jakob_Jacobi.html   (670 words)

  
 [No title]   (Site not responding. Last check: 2007-10-13)
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)

  
 Jacobi, Karl Gustav Jacob   (Site not responding. Last check: 2007-10-13)
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
[[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.
In 1827 he became extraordinary and in 1829 ordinary professor of mathematics at Königsberg, and this chair he filled until 1842.
Students of vector theory often encounter the Jacobi identity.
www.sciencedaily.com /encyclopedia/carl_gustav_jakob_jacobi   (701 words)

  
 Jacobi, Karl Gustav Jacob   (Site not responding. Last check: 2007-10-13)
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.
Jacobi was always trying to link together different mathematical disciplines.
www.cartage.org.lb /en/themes/Biographies/MainBiographies/J/Jacobi/1.html   (168 words)

  
 Carl Gustav, Carl Gustav info   (Site not responding. Last check: 2007-10-13)
Ôªø Carl Gustav Jung thumbCarl Gustav Jung Carl Gustav Jung (* 26.
Jm?©no: Heslo: Registrace Carl Gustav Jung Carl Gustav Jung (1875-1961) - ?°v??carsk??
K?TABI / YAZARI BUL TEMAT?K ARAMA I ?YEL?K I K?TAP L?STEN?Z I YARDIM Carl Gustav Jung ?sviÁreli psikiyatr Carl Gustav Jung (Kesswil 1875- K¸ssnacht 1961) analitik psikoloji okulunun kurucusudur.
www.stbart.info /CarlGustav   (1629 words)

  
 Jacobi   (Site not responding. Last check: 2007-10-13)
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...
Jacobi identity The Jacobi identity is the name for the following equation: [X,[Y,Z]]+[Y,[Z,X]]+[Z,[X,Y]]=0 for all X,Y,...
www.brainyencyclopedia.com /topics/jacobi.html   (176 words)

  
 MSN Encarta - Search Results - Jacobi Karl Gustav Jakob   (Site not responding. Last check: 2007-10-13)
Jacobi, Karl Gustav Jakob (1804-1851), German mathematician, who was one of the founders of the theory of elliptic functions.
Carl XVI Gustaf (1946- ), King of Sweden (1973- ), the grandson of King Gustav VI Adolph, whom he succeeded.
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 Wrangel, Karl Gustav, Greve --  Encyclopædia Britannica
A leader of the regionalist movement in German fiction, Gustav Frenssen is remembered chiefly for his novels of peasant life.
The great Austrian symphonist Gustav Mahler was known during his lifetime primarily as an opera and orchestra conductor.
Karl Benz and Gottlieb Daimler were two of the automobile industry's pioneers.
www.britannica.com /eb/article?tocId=9077533   (726 words)

  
 Jacobi, Karl Gustav Jakob --  Britannica Student Encyclopedia   (Site not responding. Last check: 2007-10-13)
Karl Gustav Jacobi was born on Dec. 10, 1804, in Potsdam in what is now Germany.
More results on "Jacobi, Karl Gustav Jakob" when you join.
Karl Weierstrass was known as the father of modern analysis.
www.britannica.com /ebi/article?tocId=9327398   (613 words)

  
 JACOBI, KARL GUSTAV JACOB (1804-1851) - Online Information article about JACOBI, KARL GUSTAV JACOB (1804-1851)
JACOBI, KARL GUSTAV JACOB (1804-1851), German mathematician, was born at Potsdam, of Jewish parentage, on the loth of December 1804.
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
JACOBI, KARL GUSTAV JACOB (1804-1851)
encyclopedia.jrank.org /INV_JED/JACOBI_KARL_GUSTAV_JACOB_1804_.html   (492 words)

  
 A printable page of our project
At Clarke University, USA Karl Jacobi founded the theory of elliptic functions.
The Jacobi elliptic functions are defined in terms of the integral:
The Jacobi elliptic functions obey many mathematical identities; for a good sample, see [1].
www.andrews.edu /~calkins/math/biograph/199900/biojacob.htm   (760 words)

  
 KARL GUSTAV JACOB JACOBI - LoveToKnow Article on KARL GUSTAV JACOB JACOBI   (Site not responding. Last check: 2007-10-13)
KARL GUSTAV JACOB JACOBI - LoveToKnow Article on KARL GUSTAV JACOB JACOBI
He was one of the early founders of the theory of determinants; in particular, he invented the functional determinant formed of then2 differential coefficients of n given functions of n independent variables, which now bears his name (Jacobian), and which has played an important part in many analytical investigations (see ALGEBRAIC FORMS).
See Lejeune-Dirichiet, Gedachtnisrede auf Jacobi in the Abhanandungen der Berliner Akademie (1852).
www.1911encyclopedia.org /J/JA/JACOBI_KARL_GUSTAV_JACOB.htm   (429 words)

  
 Jacobi   (Site not responding. Last check: 2007-10-13)
Jacobi's father was a banker and his family were prosperous so he received a good education at the University of Berlin.
He obtained his Ph.D. in 1825 and taught mathematics at the University of Königsberg from 1826 until his death, being appointed to a chair in 1832.
His "Fundamenta nova theoria functionum ellipticarum" in 1829 and its later supplements made basic contributions to the theory of elliptic functions.
www.sci.hkbu.edu.hk /scilab/math/jacobi.html   (253 words)

  
 About Jacobi
Karl Gustav Jacob Jacobi was born on the 10th of December 1804 in Potsdam, and died on the 18th of February, 1851, in Berlin.
He first became known through his work on number theory, which gained the admiration of Carl Gauss, the greatest mathematician of his (and perhaps any) day.
He also made important studies of Abelian transcendents and the applications of elliptic functions to the theory of numbers.
beige.ucs.indiana.edu /B673/node28.html   (306 words)

  
 The Hutchinson Dictionary of Scientific Biography: Jacobi, Karl Gustav Jacob (1804-1851)@ HighBeam Research   (Site not responding. Last check: 2007-10-13)
The Hutchinson Dictionary of Scientific Biography: Jacobi, Karl Gustav Jacob (1804-1851)@ HighBeam Research
Jacobi was born in Potsdam on 10 December 1804, the second son of a wealthy and well educated Jewish banker.
A child prodigy, he rose to the top class of his local school within months of first entering, and was ready to go...
www.highbeam.com /library/doc0.asp?DOCID=1P1:28910341&refid=ip_encyclopedia_hf&COOKIE=NO&token=51E531CAB64B4BCDA2E114CE9E482064   (201 words)

  
 Carl Gustav Jakob Jacobi - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-10-13)
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)

  
 JACOBI, Karl Gustav Jacob., Canon Arithmeticus sive Tabulae quibus exhibentur pro Singulis Numeris Primis vel Primorum ...   (Site not responding. Last check: 2007-10-13)
JACOBI, Karl Gustav Jacob., Canon Arithmeticus sive Tabulae quibus exhibentur pro Singulis Numeris Primis vel Primorum Potestatibus infra 1000 Numeri ad Datos Indices et Indices ad Datos Numeros pertinentes.
Jacobi (1804-51), spent 18 years teaching at the University of Königsberg where his tireless activity produced amazing results in both research and academic instruction.
Jacobi was an essential factor in the revival of mathematics at German universities.
www.polybiblio.com /jahill/HillBibl-Selections498.0.html   (170 words)

  
 Directorio - Historia
Jacobi, Karl Gustav Jacob Matemático de Prusia (1804 - 1851).
Dirichlet - Johann Peter Gustav Lejeune Dirichlet (1805-1859) Proved that in any arithmetic progression with first term coprime to the difference there are infinitely many primes, units in algebraic number theory, ideals, proposed the modern definition of a function.
JACOBI, Carl Gustav Jacob Jacobi (1804-1851) Elliptic functions, determinant theory, theory of numbers, theory of both ordinary and partial differential equations, the calculus of variations, the three-boby problem, and other dynamical problems.
www.satd.uma.es /matap/svera/links/matnet10.html   (7891 words)

  
 JACOBI   (Site not responding. Last check: 2007-10-13)
Investigated the calculus of variations in the large, geodesics, focii, and the conditions for minima.
Formulated Jacobi's version of the principle of least action.
Showed in 1837 that contact (canonical) transformations preserve the form of Hamilton's equations, discovered the Jacobi identity.
www.hep.wisc.edu /~ldurand/711html/courseinfo/biographies/jacobi.html   (112 words)

  
 Carl Gustav Jakob Jacobi: Definition and links.
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.
Definition / meaning of Carl Gustav Jakob Jacobi:
www.encyclopedian.com /ca/Carl-Gustav-Jakob-Jacobi.html   (426 words)

  
 AIM25: University College London: Jacobi Manuscript
Scope and content/abstract: Manuscript volume containing Karl Gustav Jacob Jacobi's 'Meditationes Analyticae' in his own hand, dated 1825.
Publication note: Not published in this form, but the manuscript was apparently made use of in Jacobi's Disquit.
Compiled by Rachel Kemsley as part of the RSLP AIM25 project.
www.aim25.ac.uk /cats/13/3481.htm   (168 words)

  
 Jung, Carl Gustav on Encyclopedia.com   (Site not responding. Last check: 2007-10-13)
(Carl Gustav Jung, psicólogo suizo)(TT: A dictator is a psychological diagnosis) (TA: Carl Gustav Jung, Swiss psichologist)(Interview)
La psicología de los mitos: Carl Gustav Jung y Karl Kerényi.(Introducción a la esencia de la mitología)(Reseña de libro)
Book reviews: Monumental biography whets appetite for more; Carl Gustav Jung - A Biography by Deirdre Bair.
www.encyclopedia.com /html/J/Jung-C1ar.asp   (705 words)

  
 MSN Encarta - Search Results - Jacobi Karl Gustav Jakob   (Site not responding. Last check: 2007-10-13)
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