Jacobi, C. G. J. (Carl Gustav Jakob) 1804-1851

Overview

Works:	370 works in 1,066 publications in 9 languages and 6,228 library holdings
Genres:	Personal correspondence Biography Academic theses
Roles:	Author, Honoree, Editor, Annotator, Creator, Recipient, Other, Contributor
Classifications:	QA3, 510.2

Publication Timeline

Most widely held works about C. G. J Jacobi

Carl Gustav Jacob Jacobi by Leo Koenigsberger( )
Méthode élémentaire pour découvrir et démontrer la possibilité des nouveaux théorémes sur la théorie des trascendantes elliptiques publiés par Mr. Jacobi dans le n. 123 du journal allemand intitulé Astronomische Nachrichten by Jean Plana( Book )
Deutschsprachige Physiker im alten St. Petersburg : Georg Parrot, Emil Lenz und Moritz Jacobi im Kontext von Wissenschaft und Politik by Peer Hempel( Book )
Briefwechsel zwischen C.G.J. Jacobi und M.H. Jacobi by C. G. J Jacobi( Book )
Die elliptischen funktionen von Jacobi. Fünfstellige tafeln, mit differenzen, von snu̲, cnu̲, dnu̲ mit den natürlichen zahlen als argument, nach werten von m̲ (=k²) rangiert nebst formeln und kurven by L. M Milne-Thomson( Book )

C.G.J. Jacobi als Politiker : ein Beitrag zu seiner Biographie by W Ahrens( Book )
Carl Gustav Jacob Jacobi : Festschrift zur Feier der 100. Wiederkehr seines Geburtstages by Leo Koenigsberger( Book )
Ueber die behandlung des Jacobischen umkehrproblems der Abelschen integrale by Hermann Stahl( Book )
Korrespondenz Adrien-Marie Legendre--Carl Gustav Jacob Jacobi = Correspondance mathematique entre Legendre et Jacobi : mit dem Essay "C.G.J. Jacobi in Berlin" by A. M Legendre( )
Men of mathematics by Eric Temple Bell( Book )
Jacobi elliptic coordinates, functions of Heun and Lamé type and the Niven transform by E. G Kalnins( Book )
Gedächtnissrede auf Carl Gustav Jacob Jacobi ... Gehalten in der Akademie der wissenschaften am 1. juli 1852 by Peter Gustav Lejeune Dirichlet( Book )
Gott hat ihm den Geist Eulers gegeben: der Mathematiker Jacobi by Herbert Pieper( Book )
Das Jacobische kriterium der variationsrechnung und die oszillationseigenschaften linearer differentialgleichungen 2. ordnung by R. G. D Richardson( Book )
Sopra la rettificazione di alcune curve piane by Barnaba Tortolini( Book )
[Memorie e note] by Domenico Chelini( Book )
Karl Gustav I︠A︡kob I︠A︡kobi, 1804-1851 by V. S Bogomolov( Book )
Gedächtnissrede auf Carl Gustav Jacob Jacobi by Peter Gustav Lejeune Dirichlet( )
Démonstration d'un théorème de M. Jacobi by Joseph Bertrand( Book )
The Borchardt-Jacobi theorem and discriminant matrices by Helen Louise McPhail( )

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Most widely held works by C. G. J Jacobi

Vorlesungen über Dynamik by C. G. J Jacobi( )

29 editions published between 1866 and 2009 in German and English and held by 350 WorldCat member libraries worldwide

"The name of C.G.J. Jacobi is familiar to every student of mathematics, thanks to the Jacobion determinant, the Hamilton-Jacobi equations in dynamics, and the Jacobi identity for vector fields. Best known for his contributions to the theory of elliptic and abelian functions, Jacobi is also known for his innovative teaching methods and for running the first research seminar in pure mathematics. A record of his lectures on Dynamics given in 1842-43 at Konigsberg, edited by A. Clebsch, has been available in the original German. This is an English translation. It is not just a historical document; the modern reader can learn much about the subject directly from one of its great masters."--Résumé de l'éditeur

Fundamenta nova theoriae functionum ellipticarum by C. G. J Jacobi( )

36 editions published between 1829 and 2017 in 5 languages and held by 319 WorldCat member libraries worldwide

Carl Gustav Jacob Jacobi (1804–51) was one of the nineteenth century's greatest mathematicians, as attested by the diversity of mathematical objects named after him. His early work on number theory had already attracted the attention of Carl Friedrich Gauss, but his reputation was made by his work on elliptic functions. Elliptic integrals had been studied for a long time, but in 1827 Jacobi and Niels Henrik Abel realised independently that the correct way to view them was by means of their inverse functions - what we now call the elliptic functions. The next few years witnessed a flowering of the subject as the two mathematicians pushed ahead. Adrien-Marie Legendre, an expert on the old theory, wrote: 'I congratulate myself that I have lived long enough to witness these magnanimous conflicts between two equally strong young athletes'. This Latin work, first published in 1829, is Jacobi's pioneering account of the new theory

Gesammelte werke by C. G. J Jacobi( Book )

17 editions published between 1881 and 1969 in 5 languages and held by 305 WorldCat member libraries worldwide

C.G.J. Jacobi's Vorlesungen über Dynamik : gehalten an der Universität zu Königsberg im Wintersemester 1842-1843 und nach einem von C.W. Borchart ausgearbeiteten Hefte by C. G. J Jacobi( Book )

25 editions published between 1884 and 1969 in 3 languages and held by 275 WorldCat member libraries worldwide

Ueber die functionaldeterminanten (De determinantibus functionalibus) by C. G. J Jacobi( )

20 editions published between 1896 and 1980 in 3 languages and held by 258 WorldCat member libraries worldwide

C.G.J. Jacobi's gesammelte Werke by C. G. J Jacobi( )

53 editions published between 1881 and 2017 in German and English and held by 243 WorldCat member libraries worldwide

One of the greatest mathematicians of the nineteenth century, Carl Gustav Jacob Jacobi (1804-51) burst into the limelight with his redevelopment, together with Niels Henrik Abel (1802-29), of the theory of elliptic functions. His pioneering work was characterised by the variety of problems tackled and the power of the tools used to tackle them. His lasting influence on rational mechanics, number theory, partial differential equations, complex variable theory and computation is marked by the number of fundamental concepts that bear his name (the Jacobian, the Jacobi sum and the Jacobi symbol, among others). His collected works, comprising treatises, letters and papers written in German, Latin and French, were published in eight volumes between 1881 and 1891. Edited by fellow German mathematician Karl Weierstrass (1815-97), Volume 4 appeared in 1886

Ueber die bildung und die eigenschaften der determinanten. (De formatione et proprietatibus determinantium.) by C. G. J Jacobi( )

27 editions published between 1896 and 2016 in German and Undetermined and held by 241 WorldCat member libraries worldwide

Neue methode zur integration partieller diferentialgleichungen erster ordnung zwischen irgend einer anzahl von veränderlichen by C. G. J Jacobi( Book )

14 editions published in 1906 in 3 languages and held by 234 WorldCat member libraries worldwide

Canon arithmeticus by C. G. J Jacobi( Book )

22 editions published between 1839 and 1956 in 4 languages and held by 219 WorldCat member libraries worldwide

Mathematische Werke by C. G. J Jacobi( Book )

15 editions published between 1851 and 1946 in German and held by 185 WorldCat member libraries worldwide

Gesammelte Werke by C. G. J Jacobi( Book )

20 editions published between 1886 and 1969 in 3 languages and held by 181 WorldCat member libraries worldwide

Disquisitiones analyticae de fractionibus simplicibus by C. G. J Jacobi( )

22 editions published between 1825 and 1969 in 3 languages and held by 172 WorldCat member libraries worldwide

Abhandlungen über die Prinzipien der Mechanik von Lagrange, Rodrigues, Jacobi und Gauss by Philip E. B Jourdain( Book )

3 editions published in 1908 in German and held by 160 WorldCat member libraries worldwide

Über die vierfach periodischen Functionen zweier Variabeln, auf die sich die Theorie der Abel'schen Transcendenten stützt by C. G. J Jacobi( Book )

19 editions published in 1895 in German and held by 153 WorldCat member libraries worldwide

C.G.J. Jacobi's Gesammelte Werke by C. G. J Jacobi( Book )

37 editions published between 1881 and 2017 in 4 languages and held by 127 WorldCat member libraries worldwide

C.G.J. Jacobi Opuscula mathematica by C. G. J Jacobi( )

in Latin and held by 123 WorldCat member libraries worldwide

Theorie der elliptischen funktionen aus den eigenschaften der thetareihen abgeleitet by C. G. J Jacobi( Book )

9 editions published in 1927 in German and Spanish and held by 115 WorldCat member libraries worldwide

Briefwechsel zwischen Alexander von Humboldt und C.G. Jacob Jacobi by Alexander von Humboldt( Book )

9 editions published in 1987 in German and held by 105 WorldCat member libraries worldwide

Vorlesungen über analytische Mechanik : Berlin 1847/48 by C. G. J Jacobi( Book )

7 editions published in 1996 in German and held by 94 WorldCat member libraries worldwide

Gesammelte Werke. Supplementband by C. G. J Jacobi( Book )

12 editions published between 1884 and 1969 in German and English and held by 89 WorldCat member libraries worldwide

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Audience Level

0				1
	Kids	General	Special

Audience level: 0.69 (from 0.24 for Men of mat ... to 0.93 for Karl Gusta ...)

Related Identities

Borchardt, Carl Wilhelm 1817-1880 Author Editor
Weierstrass, Karl 1815-1897 Honoree Editor
Clebsch, Alfred 1833-1872 Author of introduction Other Editor
Stäckel, Paul 1862-1919 Other Author Editor
Deutsche Akademie der Wissenschaften zu Berlin
Lottner, Eduard 1826-1887 Editor
Lagrange, J. L. (Joseph Louis) 1736-1813 Other Author
Koenigsberger, Leo 1837-1921 Author Editor
Legendre, A. M. (Adrien Marie) 1752-1833 Author
Bockhardt, C. W.

Useful Links

Associated Subjects

Abel, Niels Henrik, Archimedes Arithmetic Borchardt, Carl Wilhelm, Calculus of variations Cauchy, Augustin Louis,--Baron, Clauren, H.--(Heinrich), Congruences and residues Coordinates, Elliptic Curves, Algebraic Descartes, René, Determinants Differential equations Differential equations, Partial Dynamics Elliptic functions Fourier, Jean-Baptiste-Joseph, Fractions France Functions, Abelian Gauss, Carl Friedrich, Geometry, Differential Germany Hamilton, William Rowan,--Sir, Hamilton-Jacobi equations Humboldt, Alexander von, Influence (Literary, artistic, etc.) I︠A︡kobi, Boris Semenovich, Jacobi, C. G. J.--(Carl Gustav Jakob), Lagrange, J. L.--(Joseph Louis), Lamé, G.--(Gabriel), Laplace, Pierre Simon,--marquis de, Legendre, A. M.--(Adrien Marie), Leibniz, Gottfried Wilhelm,--Freiherr von, Lenz, Heinrich Friedrich Emil, Lobachevskiĭ, N. I.--(Nikolaĭ Ivanovich), Mathematicians Mathematics Mechanics, Analytic Newton, Isaac Niven, W. D.--(William Davidson),--Sir, Parrot, Georg Friedrich, Pascal, Blaise, Physics Poncelet,--M.--(Jean Victor), Russia (Federation) Science Scientists Sylvester Transformations (Mathematics)

Gesammelte Werke C.G.J. Jacobi's Gesammelte Werke

Covers

Alternative Names

Carl Gustav Jacob Jacobi deutscher Mathemetiker

Carl Gustav Jacob Jacobi German mathematician

Carl Gustav Jacob Jacobi germana matematikisto

Carl Gustav Jacob Jacobi matemàtic alemany

Carl Gustav Jacob Jacobi matematician german

Carl Gustav Jacob Jacobi matemático alemán

Carl Gustav Jacob Jacobi tysk matematikar

Carl Gustav Jacob Jacobi tysk matematiker

Carl Gustav Jacobi

Carl Gustav Jakob Jacobi

Carl Gustav Jakob Jacobi matemático de Alemania

Carl Gustav Jakob Jacobi niemiecki matematyk

Carl Jacobi matematico tedesco

Carl Jacobi wiskundige uit Pruisen (1804-1851)

Carolus Gustavus Iacobus Jacobi

Charles Gustave Jacob Jacobi mathématicien allemand

Iacobi, Carolo Gustavo.

I︠A︡kobi, Karl Gustav I︠A︡kob 1804-1851

Jacobi.

Jacobi, C. G. I.

Jacobi C.G.J.

Jacobi, C.G.J. 1804-1851

Jacobi, C. G. J. (Carl Gustav Jacob), 1804-1851

Jacobi, C. G. J. (Carl Gustav Jakob)

Jacobi, C. G. Jacob.

Jacobi, C. G. Jacob 1804-1851

Jacobi , Carl

Jacobi, Carl 1804-1851

Jacobi, Carl G. 1804-1851

Jacobi, Carl G. J.

Jacobi, Carl Gustav J. 1804-1851

Jacobi, Carl Gustav Jacob

Jacobi, Carl Gustav Jacob 1804-1851

Jacobi, Carl Gustav Jakob.

Jacobi, Carl Gustav Jakob 1804-185

Jacobi, Carl Gustav Jakob 1804-1851

Jacobi, Carolus G. 1804-1851

Jacobi, Carolus Gustavus Jacobus

Jacobi, Carolus Gustavus Jacobus 1804-1851

Jacobi, Charles Gustave Jacob

Jacobi, Karl 1804-1851

Jacobi, Karl G. 1804-1851

Jacobi, Karl Gustav Jacob

Jacobi, Karl Gustav Jacob 1804-1851

Jacobi, Karl Gustav Jakob.

Jacobi, Karl Gustav Jakob 1804-1851

Jacoby Carl Gustav Jacob 1804-1851

Jakob, Jakob.

Kārlis Gustavs Jēkabs Jakobi

Yakobi Karl Gustav Yakob

Карл Густав Якоб Якоби

Карл Густав Якоб Якобі

Карл Густав Јакоб Јакоби

Карл Густаў Якаб Якобі

Якоби, Карл Густав Якоб

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יעקבי, קרל גוסטב יעקב 1804-1851

קרל גוסטב יעקב יעקבי

קרל גוסטב יעקב יעקבי מתמטיקאי גרמני

كارل غوستاف جاكوب جاكوبي

كارل غوستاف جاكوب جاكوبي رياضياتي ألماني

کارل قوستاو یاکوب یاکوبی

کارل گوستاو ژاکوب ژاکوبی ریاضی‌دان آلمانی

কার্ল গুস্তাফ ইয়াকপ ইয়াকবি

কার্ল গুস্তাফ ইয়াকপ ইয়াকবি জার্মান গণিতবিদ

കാൾ ഗുസ്തവ് ജേക്കബ് ജക്കോബി

คาร์ล กุสทัฟ ยาค็อพ ยาโคบี

კარლ გუსტავ იაკობ იაკობი

카를 구스타프 야코프 야코비

カール・グスタフ・ヤコブ・ヤコビ

ヤコビ, カール・G. J

卡爾·古斯塔夫·雅各布·雅可比德國數學家

卡爾·雅可比

Languages

German (328)

Latin (66)

English (53)

French (9)

Italian (3)

Spanish (3)

Japanese (2)

Multiple languages (1)

Russian (1)