21. MathNet: Persona Mathematica: Kronecker, Leopold MathNet People.Faculty/Staff; Name kronecker, leopold kronecker, leopold. Email kronecker@weiserstrassberlin.de http://elib.zib.de/members/shadow_files/kronecker@weiserstrass-berlin.de.html

Kronecker, Leopold Email: kronecker@weiserstrass-berlin.de Phone: Fax: Affiliation: Scientific Information Systems Address: Takustr. 9 D-14195 Berlin This homepage is DublinCore metadata source for the MathNet. PERSONA MATHEMATICA helps you find personal homepages of mathematicians from around the world.

22. Kronecker Biography of leopold kronecker (18231891) leopold kronecker. Born 7 Dec 1823 in Liegnitz, Prussia (now Legnica, Poland) http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Kronecker.html

Leopold Kronecker Born: 7 Dec 1823 in Liegnitz, Prussia (now Legnica, Poland) Died: 29 Dec 1891 in Berlin, Germany Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Leopold Kronecker 's parents were well off, his father, Isidor Kronecker, being a successful business man while his mother was Johanna Prausnitzer who also came from a wealthy family. The family were Jewish, the religion that Kronecker kept until a year before his death when he became a convert to Christianity. Kronecker's parents employed private tutors to teach him up to the stage when he entered the Gymnasium at Liegnitz, and this tutoring gave him a very sound foundation to his education. Kronecker was taught mathematics at Liegnitz Gymnasium by Kummer , and it was due to Kummer that Kronecker became interested in mathematics. Kummer immediately recognised Kronecker's talent for mathematics and he took him well beyond what would be expected at school, encouraging him to undertake research. Despite his Jewish upbringing, Kronecker was given Evangelical religious instruction at the Gymnasium which certainly shows that his parents were openminded on religious matters. Kronecker became a student at Berlin University in 1841 and there he studied under Dirichlet and Steiner . He did not restrict himself to studying mathematics, however, for he studied other topics such as astronomy, meteorology and chemistry. He was especially interested in philosophy studying the philosophical works of

23. Los Datos Sobre La Vida Y La Obra De Los Científicos E Ingenieros situa­ción se repetía en el sistema de anillos que rodea al planeta Saturno. leopold kronecker. Matemático alemán http://www.terra.es/personal/flromera/cientifik.htm

Tú, pregunta... CIENTIFICOS Y TECNICOS (K) Piotr Leonidovich Kapitza Físico soviético n 8 de julio de 1894, Kronstadt m 8 de abril de 1984, Moscú Este científico, que se había formado en el Instituto Politécnico de Petro­grado, institución por la que se doctora en ciencias físicas y matemáticas además de filosofía, emigra en el año 1921 a Inglaterra. Aquí inicia sus in­vestigaciones en el campo de la mecá­nica cuántica bajo la dirección de Chadwick y Rutherford. En 1930 se hace cargo de la dirección de los labo­ratorios Mond, dependientes de la Universidad de Cambridge, y en 1934 regresa a la URSS. Dos años más tarde pasa a dirigir el Instituto de Proble­mas Físicos, de la Academia de Cien­cias de la URSS. En 1978 comparte el premio Nobel con A. Penzias y R. Wilson. Jacobus Cornelius Kapteyn Astrónomo holandés n 19 de enero de 1851, Barneveld m 18 de junio de 1922, Amsterdam Tras su nombramiento en 1878 como profesor de la Universidad de Gronin­ga, llevó a cabo un ingente trabajo de catalogación de las estrellas del he­misferio S (1878-1890). El resultado de esta investigación fue la publica­ción de un catálogo que contiene los datos referidos a 454.000 astros com­prendidos entre los 19º del polo del hemisferio S. Introdujo el empleo de los campos estelares (1906) para el conteo de estrellas y está considerado como el creador de la estadística este­lar. Asimismo llevó a cabo diversos es­tudios acerca de los movimientos pro­pios de las estrellas y propuso un modelo para la forma de la Vía Láctea.

24. Leopold Kronecker Translate this page eMail. leopold kronecker (1823 - 1891). Der Mathematiker leopold kronecker giltals Vorläufer der intuitionistischen Richtung in der Mathematik und der Logik. http://www.philosophenlexikon.de/kroneck.htm

Begriffe Abaelard - Ayer Baader - Byron Cabanis - Czezowski Ebbinghaus - Ewald ... Geschichte der Philosophie Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail Leopold Kronecker (1823 - 1891) Logik Kronecker erkannte nur dann die Existenz Begriff des aktual Unendlichen ab. Kronecker war ein entschiedener Gegner der von Cantor powered by Uwe Wiedemann

25. Leopold Kronecker leopold kronecker nasceu na Alemanha, de pais judeus embora tenha optado pelo protestantismo. http://www.leonardodavi.hpg.ig.com.br/leopold.htm

Leopold Kronecker DEUS CRIOU OS NÚMEROS INTEIROS Leopold Kronecker nasceu na Alemanha, de pais judeus embora tenha optado pelo protestantismo. Foi um homem de negócios muito próspero e que mantinha fortes ligações com professores da Universidade de Berlim, onde aceitou um posto em 1883. Em contato com Weierstrass, Dirichlet, Jacobi e Steiner obteve seu doutoramento em 1845 com uma tese sobre teoria algébrica dos números. De acordo com Weierstrass, aprovava a aritmetização universal da Análise mas defendia uma Aritmética finita, entrando em conflito com Cantor. Insistia na idéia de que Aritmética e Análise deveriam basear-se nos números inteiros, os quais considerava como tendo sentido dado por Deus e rejeitava a construção dos números reais porque não poderia ser feita por processos finitos. Achava que os números irracionais não existiam, lutando pela sua extinção. Diz-se que perguntava a Lindemann para que servia sua prova de que p não é algébrico, já que os números irracionais não existiam. Kronecker contribuiu significativamente para a Álgebra embora suas idéias na época, fossem consideradas metafísicas. Seu finitismo chegava a embaraçar Weierstrass mas foi a Cantor que atacou mais gravemente, opondo-se a que lhe dessem uma posição na Universidade de Berlim e, além disso, tentando derrotar e extinguir o ramo da Matemática que Cantor estava criando sobre a existência dos números transfinitos. Cantor defendeu-se num de seus artigos dizendo que numerações definidas podem ser feitas com conjuntos infinitos tão bem quanto com finitos, mas Kronecker continuava seus ataques e críticas. Este conflito entre Cantor e Kronecker é considerado como a mais forte controvérsia do século XIX.

26. Kronecker, Leopold (1823-1891) -- From Eric Weisstein's World Of Scientific Biog kronecker, leopold (18231891), German mathematician and logicianwho vociferously opposed the work of Georg Cantor. He insisted http://scienceworld.wolfram.com/biography/Kronecker.html

Branch of Science Mathematicians Nationality German Kronecker, Leopold (1823-1891) German mathematician and logician who vociferously opposed the work of Georg Cantor . He insisted that arithmetic and analysis should be based on whole numbers and is credited with saying, "God made the natural numbers; all else is the work of man" (Bell 1986, p. 477). He was a student and lifelong friend of Kummer . His dissertation was on number theory and dealt with units in certain algebraic number fields After obtaining his degree, however, Kronecker managed the estate and ran the business of his uncle following his death. For eight years, Kronecker produced no mathematical work. Then, in his 1853 memoir on the algebraic solvability of equations, he extended Galois's work on the theory of equations. He studied continuity and irrational numbers and vigorously opposed continuous nondifferentiable function. In On the Solution of the General Equation of the Fifth Degree (1858), he obtained a solution to the quintic equation similar to Hermite's using group theory Galois Hermite Weierstrass Additional biographies: MacTutor (St. Andrews)

27. Kronecker, Leopold (1823-1891) -- From Eric Weisstein's World Of Scientific Biog Branch of Science " Mathematicians Nationality " German kronecker, leopold (18231891) German mathematician and logician who vociferously opposed the work of Georg Cantor. He insisted that arithmetic and analysis should be based on whole numbers http://www.treasure-troves.com/bios/Kronecker.html

Branch of Science Mathematicians Nationality German Kronecker, Leopold (1823-1891) German mathematician and logician who vociferously opposed the work of Georg Cantor . He insisted that arithmetic and analysis should be based on whole numbers and is credited with saying, "God made the natural numbers; all else is the work of man" (Bell 1986, p. 477). He was a student and lifelong friend of Kummer . His dissertation was on number theory and dealt with units in certain algebraic number fields After obtaining his degree, however, Kronecker managed the estate and ran the business of his uncle following his death. For eight years, Kronecker produced no mathematical work. Then, in his 1853 memoir on the algebraic solvability of equations, he extended Galois's work on the theory of equations. He studied continuity and irrational numbers and vigorously opposed continuous nondifferentiable function. In On the Solution of the General Equation of the Fifth Degree (1858), he obtained a solution to the quintic equation similar to Hermite's using group theory Galois Hermite Weierstrass Additional biographies: MacTutor (St. Andrews)

28. Kronecker, Leopold. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. kronecker, leopold. (l´ pôlt kr ´n k´´ r) (KEY) , 1823–91, German mathematician. http://www.bartleby.com/65/kr/Kronecke.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Kronecker, Leopold

29. Kronecker Portraits Portraits of leopold kronecker leopold kronecker. JOC/EFR November 2002 http://www-groups.dcs.st-and.ac.uk/history/PictDisplay/Kronecker.html

Leopold Kronecker JOC/EFR November 2002 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Kronecker.html

30. Kronecker, Leopold encyclopediaEncyclopedia kronecker, leopold, lA'Opôlt krO'nek ur PronunciationKey. kronecker, leopold , 1823–91, German mathematician. http://www.factmonster.com/ce6/people/A0828272.html

Encyclopedia Kronecker, Leopold [l A O O u r] Pronunciation Key Kronecker, Leopold , German mathematician. After making a fortune in business he devoted his attention to mathematics and became professor at the Univ. of Berlin in 1883. Noted as an algebraist, he was a pioneer in the field of algebraic numbers and in formulating the relationship between the theory of numbers, the theory of equations, and elliptic functions. Kronos AD AD AD AD AD Print this page Cite this page Awards and Press Link to Fact Monster Add Fact Monster search ... Privacy

31. Kronecker, Leopold. The Columbia Encyclopedia, Sixth Edition. 2001 kronecker, leopold. (l ´ pôlt kr ´n k´´ r) (KEY) , 182391, German mathematician. http://www.bartelby.com/65/kr/Kronecke.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Kronecker, Leopold

32. Kronecker, Leopold kronecker, leopold (18231891). German mathematician who devised thekronecker delta in linear algebra. He attempted to unify analysis http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/k/Kronecker/1.ht

Kronecker, Leopold German mathematician who devised the Kronecker delta in linear algebra. He attempted to unify analysis, algebra, and elliptical functions. Kronecker was born at Liegnitz (now Legnica, Poland), and studied at Berlin, Bonn, and Breslau. Financially independent, he devoted himself to research and lectured at Berlin from 1861. In 1883 he became professor there. Kronecker was obsessed with the idea that all branches of mathematics (apart from geometry and mechanics) should be treated as parts of arithmetic. He also believed that whole numbers were sufficient for the study of mathematics - 'The whole numbers has the Dear God made; all else is man's work'. Kronecker published a system of axioms 1870, later shown to govern finite Abelian groups. The Kronecker delta is denoted by rs, for which rs = when r s and rs = 1 when r = s, where r, s are 1, 2, 3, ... He found this a useful device in the evaluation of determinants, the r and s being concerned with a row and a column of the determinant.

33. Mathematicians Kepler, Johannes Khayyam, Omar Klein, (Christian) Felix Kovalevskaia, Sofya Vasilevna,kronecker, leopold Kummer, Ernst Eduard Khwrizm, al, Muhammad ibn-Ms. http://www.cartage.org.lb/en/themes/Biographies/Categories/Scientists/Mathematic

Kepler, Johannes Khayyam, Omar Klein, (Christian) Felix Kovalevskaia, Sofya Vasilevna Kepler, Johannes Khayyam, Omar Klein, (Christian) Felix Kovalevskaia, Sofya Vasilevna ... Khwrizm, al-, Muhammad ibn-Ms

34. KRONECKER, Leopold, A Collection Of 15 Presentation Offprints, As Follows. Translate this page WP Watson Antiquarian Books. kronecker, leopold A collection of 15 presentationoffprints, as follows. Berlin, Adademie der Wissenschaften, 1880-1886. http://www.polybiblio.com/watbooks/2387.html

W. P. Watson Antiquarian Books KRONECKER, Leopold A collection of 15 presentation offprints, as follows. Berlin, Adademie der Wissenschaften, 1880-1886 15 vols bound in one, 8vo (254 x 175 mm); original wrappers with printed 'Überreicht vom Verfasser' bound in, contemporary quarter cloth and marbled boards. £1250 15 author's presentation offprints, many on elliiptical functions, all first editions, as follows: 1. Ueber die Irreductibilität von Gleichungen. 1880. Pp 8 2. Ueber die Potenzreste gewisser complexer Zahlen. 1880. Pp 4 3. Ueber den vierten Gauss'schen Beweis des Reciprocitätsgesetzes für die quadratischen Reste. 1880. Pp 20 4. Die Composition Abelscher Gleichungen. Die kubischen Albelschen Gleichungen des Bereichs [square root of] -31. 1882. Pp 10 5. Bemerkungen über die Multiplication der elliptischen Functionen. 1883. Pp 13 6. Weitere Bemerkungen über die Multiplication der elliptischen Functionen. Zur Theorie der Formen höherer Stufen. 1883. Pp 8; 4 7. Beweis des Reciprocitätsgesetzes für die quadratischen Reste. Beweis einer Jacobi'schen Integralformel. Beweis des Puiseux'schen Satzes. 1884. Pp 28 8. Die absolute kleinsten Reste reeller Grössen. 1885. Pp 14

35. Kronecker, Leopold kronecker, leopold 182391, German mathematician. After making a kronecker,leopold. 1823-91, German mathematician. After making a http://www.slider.com/enc/30000/Kronecker_Leopold.htm

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36. Kra - Kup Translate this page Kroeber, Alfred Louis Krogh, Schack August Steenberg Krohg, Christian Krolewska HutaKroll, Leon Kromeriz Kronborg castle kronecker, leopold Kronos Kronshtadt http://www.slider.com/enc/k_10.htm

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37. Kronecker, Leopold encyclopediaEncyclopedia kronecker, leopold, lA'Opôlt krO'nek ur PronunciationKey. kronecker, leopold , 1823–91, German mathematician. http://print.factmonster.com/ce6/people/A0828272.html

38. Kronecker kronecker, leopold. (18231891). http://www.aldebaran.cz/famous/people/Kronecker_Leopold.html

Kronecker, Leopold Nìmecký matematik, zabýval se teorií èísel, diferenciálními rovnicemi, teorií pravdìpodobnosti, determinanty a eliptickými funkcemi. Zejména se snažil nacházet souvislosti mezi jednotlivými matematickými disciplinami. Stal se slavný výrokem " God created the integers, all else is the work of man" - "Bùh vytvoøil drobnosti, všechno ostatní je prací èlovìka" . Po Kroneckerovi je pojmenován Kroneckerùv tenzor, jehož prvky tvoøí prvky jednotkové matice. Astrofyzika Galerie Sondy Úkazy ... Odkazy

39. Kronecker, Leopold - Gedächtnis Berlin Translate this page kronecker, leopold. * 07.12.1823 Liegnitz (Provinz Schlesien). †29.12.1891 Berlin. Mathematiker. Ehrengrab Evangelischer Alter St http://www.luise-berlin.de/Ehrung/k/kronecker_leopold.htm

Kronecker , Leopold * 07.12.1823 Liegnitz (Provinz Schlesien) Mathematiker Ehrengrab: www.berlin-geschichte.de hib@luise-berlin.de

40. Geehrte Personen A - Z, Teil Hec* Translate this page Kriebel, Fritz Kroh, Walter Krohn, Julius leopold Fredric Krohn, Kaarle leopoldKronauer, Brigitte Krone, Gustav kronecker, leopold Kroppenstedt, Heinrich http://www.luise-berlin.de/ehrung/Navi/E_all0140.htm

Geehrte Personen A - Z 6706 Namen Anfang... Hec... Heck , Ludwig Franz Friedrich Georg ... Hec...

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