41. Kronecker kronecker, leopold. (18231891). Nemecký matematik, zabýval se teorií císel,diferenciálními rovnicemi, teorií pravdepodobnosti, determinanty a eliptickými 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.

42. The Mathematics Genealogy Project - Leopold Kronecker According to our current online database, leopold kronecker has 10 students and1480 descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=17982

43. The Mathematics Genealogy Project - Update Data For Leopold Kronecker If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=17982

44. Bibliography kronecker, leopold, 18231891, leopold kronecker s werke / hrsg. auf veranlassungder Koniglich Preussischen Akademie der Wissenschaften, von K. Hensel http://www.library.cornell.edu/math/bibliography/display.cgi?start=K&

45. BibScout - Kronecker, Leopold leopold kronecker s Werke. http://titan.bsz-bw.de/bibscout/SA-SP/SF1000-SF9900/SF4670-SF4800/SF.4780

@import url(http://titan.bsz-bw.de/bibscout/ploneColumns.css); @import url(http://titan.bsz-bw.de/bibscout/plone.css); @import url(http://titan.bsz-bw.de/bibscout/ploneCustom.css); Skip to content. BibScout web bibscout Home Mathematik Gesammelte Werke Autoren K Kronecker, Leopold BibScout Home Allgemeines Arch¤ologie Biologie ... Autoren O Kronecker, Leopold Document Actions Regensburger Verbundklassifikation SF.4780 SF 4780 Werke] @Leopold Kronecker's Werke. - Leipzig : Teubner, 19XX Bibliotheken Werke] @Leopold Kronecker's Werke. - Leipzig : Teubner, 19XX Bibliotheken Werke] @Leopold Kronecker's Werke. - Leipzig : Teubner, 19XX Bibliotheken Werke / Leopold Kronecker. - Reprogr. Nachdr. d. Ausg. Leipzig. 1895-1930.. - New York : Chelsea Publ.Comp., 19XX Bibliotheken Werke] @Leopold Kronecker's Werke. - Leipzig : Teubner, 19XX Bibliotheken Werke] @Leopold Kronecker's Werke. - Leipzig : Teubner, 19XX Bibliotheken Werke] @Leopold Kronecker's Werke. - Leipzig : Teubner, 19XX Bibliotheken Erstellt von: BibScout t¤glich aktualisiert Verbund Bayern Thema Kronecker, Leopold

46. Leopold Kronecker -- Facts, Info, And Encyclopedia Article leopold kronecker. Categories Number theorists, 19th century leopoldkronecker (December 7, 1823 December 29, 1891) was a (A person of German http://www.absoluteastronomy.com/encyclopedia/l/le/leopold_kronecker.htm

Leopold Kronecker [Categories: Number theorists, 19th century mathematicians, German logicians, German mathematicians, 1891 deaths, 1823 births] Leopold Kronecker (December 7, 1823 - December 29, 1891) was a (A person of German nationality) German (A person skilled in mathematics) mathematician and (A person skilled at symbolic logic) logician who argued that (The branch of pure mathematics dealing with the theory of numerical calculations) arithmetic and (The abstract separation of a whole into its constituent parts in order to study the parts and their relations) analysis must be founded on "whole numbers", saying, " God made the natural numbers; all else is the work of man " (Bell 1986, p. 477). This put Kronecker in opposition to some of the mathematical extensions of (Click link for more info and facts about Georg Cantor) Georg Cantor . Kronecker was a student and lifelong friend of (Click link for more info and facts about Ernst Kummer) Ernst Kummer Kronecker wrote 1845 his dissertation, at the (Click link for more info and facts about University of Berlin) University of Berlin , on (Click link for more info and facts about number theory) number theory , giving special formulation to (An organization regarded as part of a larger social group) unit s in certain (Click link for more info and facts about algebraic number fields) algebraic number fields (Click link for more info and facts about Peter Gustav Dirichlet) Peter Gustav Dirichlet was his teacher.

47. Biografia De Kronecker, Leopold Translate this page kronecker, leopold. (Liegnitz, hoy Legnica, Polonia, 1823-Berlín, 1893) Matemáticoalemán. Estudió en la Universidad de Berlín, donde tuvo como profesores a http://www.biografiasyvidas.com/biografia/k/kronecker.htm

Inicio Buscador Las figuras clave de la historia Reportajes Los protagonistas de la actualidad Kronecker, Leopold (Liegnitz, hoy Legnica, Polonia, 1823-Berlín, 1893) Matemático alemán. Estudió en la Universidad de Berlín, donde tuvo como profesores a Jacobi y Dirichlet. Más tarde retomaría el contacto con otro antiguo profesor y eminente matemático, Ernst Kummer, cuya influencia sobre su trabajo resultó decisiva. Kronecker fue uno de los primeros en comprender plenamente los resultados de Galois; así, en 1870, ofreció la primera definición axiomática de un grupo conmutativo finito. En 1882 introdujo el concepto de sistema modular, gracias al cual estudió la divisibilidad del anillo de los polinomios de grado n. Su consideración de que todo teorema de existencia debía estar fundado en una construcción efectiva y ser desarrollado en un número finito de etapas le condujo a rechazar formalmente a la teoría de conjuntos propuesta por su contemporáneo Cantor y generó un enconado debate que polarizó las matemáticas de su tiempo. Inicio Buscador Recomendar sitio

48. AllRefer.com - Leopold Kronecker (Mathematics, Biography) - Encyclopedia AllRefer.com reference and encyclopedia resource provides complete informationon leopold kronecker, Mathematics, Biographies. http://reference.allrefer.com/encyclopedia/K/Kronecke.html

AllRefer Channels :: Health Yellow Pages Reference Weather September 05, 2005 Medicine People Places History ... Maps Web AllRefer.com You are here : AllRefer.com Reference Encyclopedia Mathematics, Biographies ... Leopold Kronecker By Alphabet : Encyclopedia A-Z K Leopold Kronecker, Mathematics, Biographies Related Category: Mathematics, Biographies Leopold Kronecker [l A O pOlt kr O u r] Pronunciation Key Related Categories: People Science and Technology Science and Technology Mathematics ... Biographies More articles from AllRefer Reference on Leopold Kronecker SITE MAPS Encyclopedia US Gazetteer: US States A-C US States D-H US States I-L US States M ... Countries A-Z Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities. About Us Contact Us Privacy Links Directory ... Par Web Solutions Site best viewed in 800 x 600 resolution.

49. LEOPOLD KRONECKER Meaning And Definition - Dictionary - ELook.org Provides a definition of leopold kronecker. Synonyms kronecker, leopoldkronecker. Synonyms. Search for synonyms for leopold kronecker http://www.elook.org/dictionary/leopold-kronecker.html

eLook Home eLook Online Dictionary Search Online Dictionary More Resources Information US City Data Worldwide Weather Entertainment Video Game Cheats Food Nutrition Recipes Literature Literature Reference Computing Dictionary Internet Encyclopedia Programming Reference ... Thesaurus By Letter: Non-alphabet A B C ... Email this page to a friend LEOPOLD KRONECKER Definition: [noun] German mathematician (1823-1891) Synonyms: Kronecker Leopold Kronecker Synonyms: Search for synonyms for LEOPOLD KRONECKER eLook Home eLook Online Dictionary Search Online Dictionary ... Contact

50. Boston College ETD Repository:Beyond Infinity: Georg Cantor And Leopold Kronecke Beyond Infinity Georg Cantor and leopold kronecker s Dispute over Transfinite Leading the opposition against Cantor s theory was leopold kronecker, http://dissertations.bc.edu/ashonors/200501/

Undergraduate Honors Program Previous Thesis Next Thesis Browse by Year: Enter search term: Beyond Infinity: Georg Cantor and Leopold Kronecker's Dispute over Transfinite Numbers Patrick Hatfield Carey, B.A. (Awarded in 2005) Undergraduate Honors Program, Philosophy Adviser: Patrick Byrne Download the Thesis (522 K, 52 p., PDF file) Tell a colleague about it. Printing Tips : Select 'print as image' in the Acrobat print dialog if you have trouble printing. ABSTRACT: In the late 19th century, Georg Cantor opened up the mathematical field of set theory with his development of transfinite numbers. In his radical departure from previous notions of infinity espoused by both mathematicians and philosophers, Cantor created new notions of transcendence in order to clearly described infinities of different sizes. Leading the opposition against Cantor's theory was Leopold Kronecker, Cantor's former mentor and the leading contemporary German mathematician. In their lifelong dispute over the transfinite numbers emerge philosophical disagreements over mathematical existence, consistency, and freedom. This thesis presents a short summary of Cantor's controversial theories, describes Cantor and Kronecker's philosophical ideas, and attempts to state clearly their differences of opinion. In the end, the author hopes to present the shock caused by Cantor's work and an appreciation of the two very different philosophies of mathematics represented by Cantor and Kronecker.

51. Leopold Kronecker, For Lee leopold kronecker, for Lee. Follow Ups Post Followup Geometry III FAQ Re leopold kronecker DickT 2/04/03 (0) http://www.superstringtheory.com/forum/geomboard/messages3/77.html

String Theory Discussion Forum String Theory Home Forum Index Leopold Kronecker, for Lee Follow Ups Post Followup Geometry III FAQ Posted by DickT on February 01, 2003 at 13:39:58: Lee, Here is the famous Kronecker's Theorem in Diophantine approximation: If q q q n ,1 are real numbers linearly independent over the integers, a a a k are arbitrary real numbers and N and e are positive real numbers , then there exist integers n and p ,p ,...,p k such that for m = 1,2,...,k. If Kronecker didn't believe in real numbers, why is his most famous theorem about them? Regards, Dick (Report this post to the moderator) Follow Ups: (Reload page to see most recent) DickT, you've got me puzzled, Re: DickT, you've got me puzzled, DickT Re: Leopold Kronecker ... DickT Post a Followup Follow Ups Post Followup Geometry III FAQ

52. Re: Leopold Kronecker Re leopold kronecker. Follow Ups Post Followup Geometry III FAQ In Reply to leopold kronecker, for Lee posted by DickT on February 01, http://www.superstringtheory.com/forum/geomboard/messages3/78.html

String Theory Discussion Forum String Theory Home Forum Index Re: Leopold Kronecker Follow Ups Post Followup Geometry III FAQ Posted by mathman on February 02, 2003 at 20:53:14: In Reply to: Leopold Kronecker, for Lee posted by DickT on February 01, 2003 at 13:39:58: Kronecker objected to the idea of non-contructive existence theorems. There have been some mathematicians since then who agree with him. However most mathematicians do accept existence proofs. As far as real numbers are concerned, at times he seemed to object to irrational numbers in general, but his real concern was transcendental numbers. (It was hard not to accept algebraic irrationals.) That was part of his objection to Cantor's ideas. Cantor showed that the algebraic numbers are countable, but real numbers are not. This leads to the conclusion that almost all numbers are transcendental. (Report this post to the moderator) Follow Ups: (Reload page to see most recent) Re: Leopold Kronecker DickT Re: Leopold Kronecker mathman ... DickT Post a Followup Follow Ups Post Followup Geometry III FAQ

53. Kronecker, Leopold - Gedächtnis Berlin Translate this page kronecker, leopold - Lebensdaten und Erinnerung in Berlin. http://www.luise-berlin.de/Ehrung/k/kronecker_leopold.htm

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

54. Imago Mundi - Leopold Kronecker. Translate this page kronecker, leopold, mathématicien né en 1823 en Prusse polonaise, mort en 1891à Berlin. Etudiant à l’université de Berlin en 1841, il y est notamment http://www.cosmovisions.com/Kronecker.htm

Les gens Kronecker Descartes Leibniz Kant Spinoza et Hegel Weierstrass Cantor A ... Z

55. KRONECKER, Leopold, A Collection Of 15 Presentation Offprints, As Follows. vom Verfasser bound in, contemporary quarter cloth and marbled boards. 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

56. Leopold Kronecker - Definition By Dict.die.net Definition leopold kronecker. Search dictionary for. Source WordNet (r) 1.7leopold kronecker n German mathematician (18231891) syn kronecker, http://dict.die.net/leopold kronecker/

Definition: leopold kronecker Search dictionary for Source: WordNet (r) 1.7 Leopold Kronecker n : German mathematician (1823-1891) [syn: Kronecker , Leopold Kronecker] Projects online dictionary linux docs apt for redhat bush's war lies ... party invitations Toys world sunlight moon phase free online rpg

57. Kronecker - Definition By Dict.die.net kronecker n German mathematician (18231891) syn kronecker, leopold kronecker.die.net. Projects online dictionary linux docs apt for redhat http://dict.die.net/kronecker/

Definition: kronecker Search dictionary for Source: WordNet (r) 1.7 Kronecker n : German mathematician (1823-1891) [syn: Kronecker, Leopold Kronecker Projects online dictionary linux docs apt for redhat bush's war lies ... party invitations Toys world sunlight moon phase free online rpg

58. Philosophers Index -- K kronecker, leopold, Books Used Books. Kropotkin, Pëtr Alekseevich, Books Used Books. Kuhn, Thomas Samuel, Books Used Books. Kukai, Books Used Books http://www.erraticimpact.com/names_index_k.htm

Site Map Books Used Books Topics ... Search Philosophers Index A B C D ... Z Philosophy Resources Search the web Search this site Site Map History of Philosophy Philosophical Topics Philosophers by Name ... Slash Your Student Loans Use The Index Philosophers Index Authors (New Books) Authors (Used Books) Home Pages K Kaibara Ekken Books Used Books Kant, Immanuel Books ... Online Resources Kaplan, Mordecai Books Used Books Kauilya Books Used Books Kautsky, Karl Johann Books Used Books Keckermann, Bartholomew Books Used Books Kelsen, Hans Books Used Books Kemp Smith, Norman Books Used Books Kepler, Johannes Books Used Books Keynes, John Maynard Books Used Books Kierkegaard, Søren Books ... Online Resources Kilvington, Richard Books Used Books Kilwardby, Robert Books Used Books al-Kindi, Abu Yusuf Yaqub ibn Ishaq Books Used Books Knutzen, Martin Books Used Books Books Used Books ... Online Resources Kokoro Books Used Books Kotarbinski, Tadeusz

59. Historia Matematica Mailing List Archive: Re: [HM] Leopold Kron that leopold kronecker (18231823+68) converted to Christianity from kronecker, leopold. Lesendes Akademiemitglied 1861, ao.Prof. 11.5.1883 fu r http://sunsite.utk.edu/math_archives/.http/hypermail/historia/feb00/0054.html

Re: [HM] Leopold Kronecker Subject: Re: [HM] Leopold Kronecker From: Martin Davis ( martin@eipye.com Date: Mon Feb 07 2000 - 14:37:54 EST Next message: Dinesh Maheshwari: "Re: [HM] Indian astronomy and mathematics" Previous message: Eduardo Ortiz: "[HM] De Valera and Irish mathematics" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Dear Julio, With great apologies I am replying today to a message you sent me on December 20 in which you wrote: > By the way, is there any basis for your statement "Kronecker was in > fact a Christian"? If I remember things correctly, E.T. Bell asserted I believe I was simply mistaken in that impression. In a list of "Dozenten" in mathemtics at the university of Berlin on the Web, one finds: Kronecker, Leopold. Lesendes Akademiemitglied 1861, ao.Prof. 11.5.1883 fu"r Mathematik. *7.12.1823 Liegnitz, +29.12.1891 Berlin. - L.:ADB 51,393. - S.:R.Kronecker, Werke 5, 517. - B.:Ju"disches Lexikon 1927 ff. 3.913. That reference to the Ju"disches Lexikon as a biographical source would seem to make it plain that the authors of that work counted him as Jewish.

60. Math Lessons - Leopold Kronecker Math Lessons leopold kronecker. This put kronecker in opposition to someof the mathematical extensions of Georg Cantor. kronecker was a student and http://www.mathdaily.com/lessons/Leopold_Kronecker

Search Mathematics Encyclopedia and Lessons Lessons Popular Subjects algebra arithmetic calculus equations ... more References applied mathematics mathematical games mathematicians more ... Number theorists Leopold Kronecker Leopold Kronecker December 7 December 29 ) was a German mathematician and logician who argued that arithmetic and analysis must be founded on "whole numbers", saying, " God made the natural numbers; all else is the work of man " (Bell 1986, p. 477). This put Kronecker in opposition to some of the mathematical extensions of Georg Cantor . Kronecker was a student and lifelong friend of Ernst Kummer Kronecker wrote his dissertation, at the University of Berlin , on number theory , giving special formulation to units in certain algebraic number fields After obtaining his degree, however, Kronecker managed the estate and business of his uncle, producing nothing mathematical for eight years. In his memoir on the algebraic solvability of equations, Kronecker extended the work of on the theory of equations . He accepted a professorship at the University of Berlin in Kronecker also contributed to the concept of continuity , reconstructing the form of irrational numbers in real numbers . In analysis , Kronecker rejected the formulation of a continuous nowhere-differentiable function by his colleague, Karl Weierstrass . In his paper

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