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.
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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
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Kummer's Generalization of Arithmetical Properties as Applied to Certain Complex Numbers
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Fraser, Craig G.;
(2002)
The Early History of Hamilton-Jacobi Dynamics, 1834--1837
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(2005)
Alexander von Humboldt und die Berufung Jacob Jacobis an die Wiener Universität
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Cogliati, Alberto;
(2014)
On Jacobi’s Transformation Theory of Elliptic Functions
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Corry, Leo;
(2010)
Hunting Prime Numbers---From Human to Electronic Computers
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Bölling, Reinhard;
(1997)
Kummer vor der Erfindung der “idealen complexen Zahlen”: Das Jahr 1844
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Soublin, Jean-Pierre;
(1984)
Préhistoire des idéaux
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Edwards, Harold M.;
(1975)
The background of Kummer's proof of Fermat's last theorem for regular primes
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Neumann, Olaf;
(1981)
Über die Anstösse zu Kummers Schöpfung der “idealen complexen Zahlen”
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Rolf Nossum;
(2022)
A letter from Malevich to Semevsky about Kovalevskaya
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(2021)
Symbols and Things: Material Mathematics in the Eighteenth and Nineteenth Centuries
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The Correspondence between Moritz Pasch and Felix Klein
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Burnside's Engagement with the “Modern Theory of Statistics”
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L'originalité de Poincaré en mécanique céleste: pratique des solutions périodiques dans un réseau de textes
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Im Umfeld der “Theoria motus”: Gauss' Briefwechsel mit Perthes, Laplace, Delambre und Legendre
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Simonetta Di Sieno;
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La corrispondenza massonica di Luigi Cremona con Giosuè Carducci e Francesco Magni
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Carteggio: 1896--1914
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