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Ernst Eduard Kummer

Дата рождения:
Место рождения: Żary, Żary County, Lubusz Voivodeship, Poland
Смерть: 14 мая 1893 (83)
Berlin, Berlin, Germany (Influenza )
Ближайшие родственники:

Сын Carl Gotthelf Kummer и Unknown Kummer
Муж Ottilie Ernestine Françoise Kummer и Bertha Marianne Kummer
Отец Wilhelm Kummer; Marie Elisabeth Schwarz; Eduard Otto Kummer; Ernst Nathaniel Kummer; Anna "Helene" Cauer и ещё 1
Брат Karl Gotthelf Kummer

Профессия: Professor of Mathematics
Менеджер: Martin Severin Eriksen
Последнее обновление:

About Ernst Kummer


Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker. Contents [hide]

Kummer was born in Sorau, Brandenburg (then part of Prussia). Kummer was first married to Ottilie Mendelssohn, daughter of Nathan Mendelssohn and Henriette Itzig. Ottilie was a cousin of Rebecca Mendelssohn Bartholdy, the wife of the mathematician Peter Gustav Lejeune Dirichlet. His second wife, Bertha was a maternal cousin of Ottilie. Overall, he had 13 children. His daughter Marie married the mathematician Hermann Schwarz. Kummer retired from teaching and from mathematics in 1890 and died three years later in Berlin. [edit]Mathematics

Kummer made several contributions to mathematics in different areas; he codified some of the relations between different hypergeometric series, known as contiguity relations. The Kummer surface results from taking the quotient of a two-dimensional abelian variety by the cyclic group {1, −1} (an early orbifold: it has 16 singular points, and its geometry was intensively studied in the nineteenth century). See also Kummer's function, Kummer ring and Kummer sum. Kummer also proved Fermat's last theorem for a considerable class of prime exponents (see regular prime, ideal class group). His methods were closer, perhaps, to p-adic ones than to ideal theory as understood later, though the term 'ideal' arose here. He studied what were later called Kummer extensions of fields: that is, extensions generated by adjoining an nth root to a field already containing a primitive nth root of unity. This is a significant extension of the theory of quadratic extensions, and the genus theory of quadratic forms (linked to the 2-torsion of the class group). As such, it is still foundational for class field theory. [edit]See also

Kummer's congruence Kummer series Kummer theory [edit]Publications

Kummer, Ernst Eduard (1975), Weil, André, ed., Collected papers. Volume 1: Contributions to Number Theory, Berlin, New York: Springer-Verlag, ISBN 978-0-387-06835-0, MR0465760 Kummer, Ernst Eduard (1975), Weil, André, ed., Collected papers. Volume II: Function theory, geometry and miscellaneous, Berlin, New York: Springer-Verlag, ISBN 978-3-540-06836-5, MR0465761 [edit]References

Eric Temple Bell, Men of Mathematics, Simon and Schuster, New York: 1986. R. W. H. T. Hudson, Kummer's Quartic Surface, Cambridge, [1905] rept. 1990. "Ernst Kummer," in Dictionary of Scientific Biography, ed. C. Gillispie, NY: Scribners 1970-90. [edit]External links

O'Connor, John J.; Robertson, Edmund F., "Ernst Kummer", MacTutor History of Mathematics archive, University of St Andrews. Biography of Ernst Kummer Ernst Kummer at the Mathematics Genealogy Project.

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Хронология Ernst Kummer

29 января 1810
Żary, Żary County, Lubusz Voivodeship, Poland
7 июня 1841
Возраст 31
Berlin, Berlin, Germany
13 ноября 1842
Возраст 32
Wrocław, Lower Silesian Voivodeship, Poland
2 февраля 1844
Возраст 34
23 марта 1847
Возраст 37
Berlin, Berlin, Germany
Возраст 43
26 декабря 1856
Возраст 46
Berlin, Berlin, Germany
14 мая 1893
Возраст 83
Berlin, Berlin, Germany