Bölling, Reinhard (Author)
It is known that C. G. J. Jacobi wrote his first two letters to E. E. Kummer in the year 1834. Thanks to a find in the archive of the Mittag-Leffler Institute there is now the missing link, Kummer's reply letter to Jacobi's first letter. This letter seems to be the earliest one from Kummer still in existence (at least to a mathematician). Kummer tells in his letter about his situation as a teacher in Liegnitz, gives further a version of his later paper on the summation of slowly convergent series and discusses Euler's summation formula in connection with the practice of its use in numerical calculations. The article contains the complete texts of the three letters (up to those parts in Kummer's letter identically contained in his published article) together with a commentary on their contents.
...More
Book
Reichardt, Hans;
(1988)
Nachrufe auf Berliner Mathematiker des 19. Jahrhunderts: C.G.J. Jacobi, P.G.L. Dirichlet, E.E. Kummer, L. Kronecker, K. Weierstrass. Mit Fotos, Dokumenten und Archivalien
Article
Pieper, Herbert;
(1988)
Urteile C.G.J. Jacobis über den Mathematiker E.E. Kummer
Chapter
Jacqueline Boniface;
(2016)
Kummer's Generalization of Arithmetical Properties as Applied to Certain Complex Numbers
Article
Nakane, Michiyo;
Fraser, Craig G.;
(2002)
The Early History of Hamilton-Jacobi Dynamics, 1834--1837
Article
Pieper, Herbert;
(2005)
Alexander von Humboldt und die Berufung Jacob Jacobis an die Wiener Universität
Article
Cogliati, Alberto;
(2014)
On Jacobi’s Transformation Theory of Elliptic Functions
Article
Corry, Leo;
(2010)
Hunting Prime Numbers---From Human to Electronic Computers
Chapter
Bölling, Reinhard;
(1997)
Kummer vor der Erfindung der “idealen complexen Zahlen”: Das Jahr 1844
Chapter
Neumann, Olaf;
(1981)
Über die Anstösse zu Kummers Schöpfung der “idealen complexen Zahlen”
Article
Edwards, Harold M.;
(1975)
The background of Kummer's proof of Fermat's last theorem for regular primes
Article
Soublin, Jean-Pierre;
(1984)
Préhistoire des idéaux
Chapter
Fraser, Craig G.;
(1996)
Jacobi's Theorem (1837) in the calculus of variations and its formulations by Otto Hesse (1857): A study in the changing interpretation of mathematical theorems
Article
Maria de Paz;
José Ferreirós;
(2020)
From Gauss to Riemann Through Jacobi: Interactions Between the Epistemologies of Geometry and Mechanics?
Article
McCleary, John;
(1994)
On Jacobi's remarkable curve theorem
Article
Pieper, Herbert;
(1994)
“Die akademische Schlacht bei Waterloo”--Zum Verhältnis zwischen Encke und Jacobi
Article
Collison, Mary Joan;
(1977)
The origins of the cubic and biquadratic reciprocity laws
Article
Hawkins, Thomas;
(1991)
Jacobi and the birth of Lie's theory of groups
Article
Pulte, Helmut;
(1994)
C.G.J. Jacobis Vermächtnis einer “konventionalen” analytischen Mechanik: Vorgeschichte, Nachschriften und Inhalt seiner letzen Mechanik-Vorlesung
Article
Pulte, Helmut;
(1998)
Jacobi's criticism of Lagrange: The changing role of mathematics in the foundations of classical mechanics
Article
Knobloch, Eberhard;
Pieper, Herbert;
Pulte, Helmut;
(1995)
“... das Wesen der reinen Mathematik verherrlichen”: Reine Mathematik und mathematische Naturphilosophie bei C.G.J. Jacobi. Mit seiner Rede zum Eintritt in die philosophische Fakultät der Universität Königsberg aus dem Jahre 1832
Be the first to comment!