Kronecker , Leopold

Kronecker , Leopold
(1823–1891) German mathematician
Born in Liegnitz, now Legnica in Poland, Kronecker studied mathematics at Berlin but he did not become a professional mathematician until relatively late in life. He worked, highly successfully, as a businessman until he had made enough money to abandon commerce and devote himself fully to mathematics. He taught at Berlin from 1861, and, in 1883, was appointed professor. Outside mathematics Kronecker's interests were wide. He was a highly cultured man who used his wealth to patronize the arts. He also had a deep interest in philosophy and Christian theology, although he was not converted to Christianity until shortly before his death.
Kronecker's mathematical work was almost entirely in the fields of number theory and higher algebra, although he also made some contributions to the theory of elliptic functions. His work on algebraic numbers was inspired by his constructivist outlook, which involved a distrust of nonconstructive proofs in mathematics and a suspicion of the infinite and all kinds of number other than the natural numbers. This attitude led him to rewrite large areas of algebraic number theory in order to avoid reference to such suspect entities as imaginary or irrational numbers. Kronecker's constructivism is summed up in a famous remark he made during an after-dinner speech: “God made the integers, all else is the work of man.” His suspicion of nonconstructive methods led Kronecker into fierce controversy with two of the leading mathematicians of his day, Karl Weierstrass and Georg Cantor. His outlook anticipates to a considerable extent the views of the Dutch mathematician L.E.J. Brouwer.
Kronecker was also one of the first to understand thoroughly and use Evariste Galois's work in the theory of equations. TheKronecker delta function is named for him.

Scientists. . 2011.

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  • KRONECKER, LEOPOLD — (1823–1891), German mathematician. He was born in Liegnitz, brother of hugo kronecker . Following the death of his uncle, a successful banker, Kronecker entered the business world. He prospered and was able to retire after eight years and devote… …   Encyclopedia of Judaism

  • Kronecker, Leopold — ▪ German mathematician born December 7, 1823, Liegnitz, Prussia [now Legnica, Poland] died December 29, 1891, Berlin, Germany  German mathematician whose primary contributions were in the theory of equations and higher algebra.       Kronecker… …   Universalium

  • Leopold Kronecker — (* 7. Dezember 1823 in Liegnitz; † 29. Dezember 1891 in Berlin) war ein deutscher Mathematiker. Der Physiologe Hugo Kronecker (1839–1914), sechzehn Jahre jünger als er, war sein Bruder. Inhaltsverzeichnis …   Deutsch Wikipedia

  • Léopold Kronecker — Leopold Kronecker Leopold Kronecker Léopold Kronecker (7 décembre 1823 29 décembre 1891) est un mathématicien et logicien allemand. Il est l élève et l ami à vie d Ernst Kummer. Persu …   Wikipédia en Français

  • Leopold Kronecker — Leopold Kronecker. Leopold Kronecker (n. en Liegnitz actual Legnica en Polonia, 7 de diciembre de 1823 † Berlín, Alemania, 29 de diciembre de 1891). Matemático alemán. Biografía Hijo de un comerciante judío, con el tiempo se convertiría al… …   Wikipedia Español

  • Kronecker — Kronecker,   Leopold, Mathematiker, * Liegnitz 7. 12. 1823, ✝ Berlin 29. 12. 1891; seit 1861 Mitglied der Preußischen Akademie der Wissenschaften in Berlin; ab 1883 Professor an der Berliner Universität. Kronecker leistete wichtige Beiträge zur… …   Universal-Lexikon

  • Kronecker — Kronecker, Leopold, Mathematiker, geb. 7. Dez. 1823 in Liegnitz, gest. 29. Dez. 1891 in Berlin, studierte seit 1841 in Berlin, Bonn, Breslau, promovierte 1845 in Berlin, lebte bis 1855 in und bei Liegnitz, dann in Berlin und wurde 1860 zum… …   Meyers Großes Konversations-Lexikon

  • Kronecker — Kronecker, Leopold, Mathematiker, geb. 7. Dez. 1823 in Liegnitz, seit 1883 Prof. in Berlin, gest. das. 29. Dez. 1891. »Vorlesungen über Mathematik« (hg. von Netto, 1894 fg.), »Werke« (hg. von Hensel, 1895 fg.) …   Kleines Konversations-Lexikon

  • Leopold Kronecker — Infobox Scientist name = Leopold Kronecker caption = Leopold Kronecker birth date = birth date|1823|12|7|mf=y birth place = Liegnitz, Prussian province of Silesia residence = Prussian nationality = Prussian death date = death date and… …   Wikipedia

  • Leopold Kronecker — Pour les articles homonymes, voir Kronecker. Leopold Kronecker Leopold Kronecker Naissance 7 décembre 1823 Legn …   Wikipédia en Français

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