1. Ernst Kummer's Life Ernst Eduard kummer eduard Kummer's father, Carl Gotthelf Kummer was a physician. However he died when Eduard was only three years old and Eduard and his elder brother were brought up by their mother. http://www.bath.ac.uk/~ma0dmp/Kummerlife.html

Ernst Eduard Kummer Eduard Kummer's father, Carl Gotthelf Kummer was a physician. However he died when Eduard was only three years old and Eduard and his elder brother were brought up by their mother. In 1828 Kummer entered the University of Halle with the intention of studying Protestant theology. Fortunately for the good of mathematics, Kummer received mathematics teaching as part of his degree, designed to provide a proper foundation to the study of philosophy. Kummer's mathematics lecturer H F Scherk inspired his interest in mathematics and Kummer soon was studying mathematics as his main subject, although at this stage he still saw it as leading to a later study of philosophy. Return to main page

2. Kummer Eduard Kummer's father, Carl Gotthelf Kummer was a physician. However he died when Eduard was only three years old and Eduard and his elder brother were brought up by their mother. http://www.wactc.wo.k12.ri.us/../csstudents02/kyleb/math/kummer.html

Kummer held this teaching post in Liegnitz for 10 years. There he taught mathematics and physics and sometimes other topics. Some of his pupils had great ability, and conversely they were extremely fortunate to find a school teacher of Kummer's quality and ability to inspire. His two most famous pupils were Kronecker and Joachimsthal and, under Kummer's guidance, they were undertaking mathematical research while at school. Kummer himself was undertaking mathematics research while teaching at Liegnitz. He published a paper on hypergeometric series in Crelle's Journal in 1836 and he sent a copy of the paper to Jacobi. This led to Jacobi, and later Dirichlet, corresponding with Kummer on mathematical topics and they soon realised the great potential for the highest level of mathematics that Kummer possessed. In 1839, although still a school teacher, Kummer was elected to the Berlin Academy of Sciences on Dirichlet's recommendation. Jacobi now realised that he had to find Kummer a university professorship. In 1840 Kummer married a cousin of Dirichlet's wife. This marriage would only last eight years as his wife sadly died in 1848. However these where years of great achievement for Kummer. In 1842, with strong support from Jacobi and Dirichlet, he was appointed a full professor at the University of Breslau, now Wroclaw in Poland. There he quickly established himself as an outstanding university teacher of mathematics and, starting with his move to Breslau, he began to undertake research in number theory. After the death of his wife in 1848, Kummer remarried fairly soon.

3. Kummer Eduard Kummer's father, Carl Gotthelf Kummer was a physician. Ernst EduardKummer (1810 1893) introduced the theory of ideal complex numbers. http://www.wactc.wo.k12.ri.us/csstudents02/kyleb/math/kummer.html

Kummer held this teaching post in Liegnitz for 10 years. There he taught mathematics and physics and sometimes other topics. Some of his pupils had great ability, and conversely they were extremely fortunate to find a school teacher of Kummer's quality and ability to inspire. His two most famous pupils were Kronecker and Joachimsthal and, under Kummer's guidance, they were undertaking mathematical research while at school. Kummer himself was undertaking mathematics research while teaching at Liegnitz. He published a paper on hypergeometric series in Crelle's Journal in 1836 and he sent a copy of the paper to Jacobi. This led to Jacobi, and later Dirichlet, corresponding with Kummer on mathematical topics and they soon realised the great potential for the highest level of mathematics that Kummer possessed. In 1839, although still a school teacher, Kummer was elected to the Berlin Academy of Sciences on Dirichlet's recommendation. Jacobi now realised that he had to find Kummer a university professorship. In 1840 Kummer married a cousin of Dirichlet's wife. This marriage would only last eight years as his wife sadly died in 1848. However these where years of great achievement for Kummer. In 1842, with strong support from Jacobi and Dirichlet, he was appointed a full professor at the University of Breslau, now Wroclaw in Poland. There he quickly established himself as an outstanding university teacher of mathematics and, starting with his move to Breslau, he began to undertake research in number theory. After the death of his wife in 1848, Kummer remarried fairly soon.

4. Inhalt_katalog_19 Translate this page kummer eduard Leipzig. 1867, 2. Aufl., 502 S., ein Lehrbuch fuer denkende Frauenund zum Gebrauche in weiblichen Erziehungsanstalten (Einriss auf S. 269). 198. http://www.staeuble-reiden.ch/inhalt_katalog_19.htm

Gastronomie Cocktails Lechner o.J., Das moderne Getraenkebuch f³r alle, die selbst mixen wollen, "Die leichte Kueche", 160 S., mit zahlreichen farbigen Tfln., Inhalt: Barausstattung, kleine Kniffe fuers gute Gelingen, Grundausstattung der Zutaten, jedem Cocktail sein Glas, Mixgetraenke mit Alkohol, Mixgetraenke ohne Alkohol und Register, 25x21cm, farbiger Glanz- Pappeinband Schraemli Harry Gaeste im eigenen Heim Verlag fuer Wissenschaft, Technik und Industrie, Basel ca. 1960, 93 Seiten, Im Anhang mit Werbeteil: "Empfehlenswerte Firmen"! Leonhard Walter Schoene alte Wirtshaus- Schilder, Zeichen guter Gastlichkeit F. Bruckmann, K. G. Muenchen 1977, 2. Aufl., 208 S., mit vielen zT ganzseitigen und farb. Bildern von Hans Karl adam, 30x20cm, Leinen (mit laediertem Umschlag) Genussmittel kein Eintrag Kochbuch Das Meisterwerk der Kueche Sanitasverlag Bern o.J. ca. 1930, 3. Auflg.. Das praktische, leicht verstaendliche Kochbuch fuer die Hausfrau. Der gute Ratgeber in allen Ernaehrungsfragen. Die rasche Orientierung fuer Speisenzusammenstellungen, sowie Anleitung ueber das Servieren und Dekorieren., 606 S. mit 322 Bildern in feinsten Farbenkunstdruck. 25x19cm. An der Internationalen Kochkunstausstellung in Zuerich 1930 mit der goldenen Medaille praemiert, Exposition de Strasbourg 1930, Diplôme hors- concours. Blauer Leineneinband mit goldgepraegtem Titel auf Deckel und Buchruecken (Einband berieben)

5. Inhalt_katalog_8 Translate this page Dithmar Gerhard. 434 S., Exemplar Nr. 766, Leinen mit Umschlag. 204. 90.00. KlenckeHermann, Dr. med. Das Weib als Gattin. kummer eduard. Leipzig. 1910, 17. http://www.staeuble-reiden.ch/inhalt_katalog_8.htm

Erotika Actiones Veritas Stuttgart 1969, Buch Nr. 3969, 133 S., 21x28cm, Querformat, getoente Darstellungen auf Kunstdruckpapier Bauer Berhard A., Dr. Komoediantin.... Dirne? Fiba, Wien u Leipzig 1927, EA, 469 S., 24x17cm, (Buchruecken des Einbandes etwas gelockert und fleckig); Der Kuenstlerin Leben und Lieben im Lichte der Wahrheit Besançon Julien Docteur Ne pas dételez Verl. Aux Edition Terres Latines Nr. 560, 140 S., illustr. von Jean Dratz, broschiert Blackeyes Sadie Baby Douce Fille ca. 1920, 280 S., Erotikroman, Lithos ueber Flagelation, Pappband, vermutlich ersetzt Blueher Hans Die Rolle der Erotik in der maennlichen Gesellschaft Diederichs Eugen in Jena 1917, EA, 1. Band: 247 S., 2. Band: 223 S., 2 Pappbaende diverse Ars et Amor Nagel- Verlag Muenchen, Genf, Paris 1982, 164 S., 197 mehrfarb. Abb., 33x26cm, Gesetzliches Depot Nr. 777, Erotik in der Kunst Elite Eine Sammlung koestlich- gewuerzter Pikanterien Transit- Verl. Stuttgart

6. Genealogy Index For Surnames Beginning With K Küller, Rosina (). kummer, Alfred (-). kummer, eduard (EST 1870-). kummer, Gottfried (EST 1860-) http://www.adam-family.ch/ged2www/idxk.html

Genealogy Index for surnames beginning with K Back to Main Page (EST 1830-) Kaiser, Alfred (EST 1830-) Kamber, Bertha (7 Nov 1876-12 Feb 1912) Kamber, Joseph (EST 1840-) Kampfer, Christina (ABT 1748-) (EST 1840-) (EST 1830-) (ABT 1875-) (10 Dec 1797-19 Apr 1873) (ABT 1758-) (ABT 1742-) (EST 1800-) (ABT 1700-) Kaufmann, Friedrich (EST 1870-) Kaufmann, Ida (2 Jul 1873-8 Feb 1956) Kaufmann, Jakob (EST 1840-) Kernen, Jakob (EST 1860-) Kesselring, Johann Heinrich (EST 1830-) Kesteman, Bartholomeus Jacobus (20 Aug 1705-26 May 1750) Kesteman, Carolus Jacobus Joannes (9 Jan 1750-12 Sep 1836) Kesteman, Jacobus (BEF 1623-13 Nov 1669) Kesteman, Joannes (1647-11 Mar 1712) Kesteman, Maria Theresia (2 Aug 1781-12 Jan 1851) Kesteman, Martinus Keutgen, Maria Anna (EST 1840-) Kiekens, Joseph (ABT 1782-12 Mar 1846) (9 Apr 1825-1895) (10 Oct 1853-) Kissling, Alois (EST 1890-) Kistler, Jakob (EST 1850-) Kistler, Marie (31 May 1881-1 Feb 1952) Klaus, Andreas (EST 1810-) Klaus, Elisabeth (9 Feb 1845-15 Apr 1909) (EST 1880-) Kobi, Magdalena (4 Mar 1798-16 Jun 1835) (EST 1840-) (2 Aug 1869-17 Nov 1920) (EST 1830-) Konrad, Anna Barbara

7. Kummer Ernst eduard kummer. Born 29 Jan 1810 in eduard kummer's father, CarlGotthelf kummer was a physician. However he died when eduard http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Kummer.html

Ernst Eduard Kummer Born: 29 Jan 1810 in Sorau, Brandenburg, Prussia (now Germany) Died: 14 May 1893 in Berlin, Germany Click the picture above to see three larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Eduard Kummer 's father, Carl Gotthelf Kummer was a physician. However he died when Eduard was only three years old and Eduard and his elder brother were brought up by their mother. Eduard received private coaching before entering the Gymnasium in Sorau when he was nine years old. In 1828 Kummer entered the University of Halle with the intention of studying Protestant theology. Fortunately for the good of mathematics, Kummer received mathematics teaching as part of his degree, designed to provide a proper foundation to the study of philosophy. Kummer's mathematics lecturer H F Scherk inspired his interest in mathematics and Kummer soon was studying mathematics as his main subject, although at this stage he still saw it as leading to a later study of philosophy. In 1831 Kummer was awarded a prize for a mathematical essay he wrote on a topic set by Scherk. In the same year he was awarded his certificate to enable him to teach in schools and, on the strength of his prize winning essay, he was awarded a doctorate. During session 1831-32 Kummer taught a probationary year at the Gymnasium in Sorau where he had been educated. Then he was appointed to a teaching post at the Gymnasium in Liegnitz, now Legnica in Poland.

8. Kummer Biography of eduard kummer (18101893) eduard kummer's father, Carl Gotthelf kummer was a physician. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Kummer.html

Ernst Eduard Kummer Born: 29 Jan 1810 in Sorau, Brandenburg, Prussia (now Germany) Died: 14 May 1893 in Berlin, Germany Click the picture above to see three larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Eduard Kummer 's father, Carl Gotthelf Kummer was a physician. However he died when Eduard was only three years old and Eduard and his elder brother were brought up by their mother. Eduard received private coaching before entering the Gymnasium in Sorau when he was nine years old. In 1828 Kummer entered the University of Halle with the intention of studying Protestant theology. Fortunately for the good of mathematics, Kummer received mathematics teaching as part of his degree, designed to provide a proper foundation to the study of philosophy. Kummer's mathematics lecturer H F Scherk inspired his interest in mathematics and Kummer soon was studying mathematics as his main subject, although at this stage he still saw it as leading to a later study of philosophy. In 1831 Kummer was awarded a prize for a mathematical essay he wrote on a topic set by Scherk. In the same year he was awarded his certificate to enable him to teach in schools and, on the strength of his prize winning essay, he was awarded a doctorate. During session 1831-32 Kummer taught a probationary year at the Gymnasium in Sorau where he had been educated. Then he was appointed to a teaching post at the Gymnasium in Liegnitz, now Legnica in Poland.

9. References For Kummer References for eduard kummer. Biography K Hensel, Gedächtnisrede auf Ernsteduard kummer, Nachrufe auf Berliner Mathematiker des 19. Jahrhunderts http://www-gap.dcs.st-and.ac.uk/~history/References/Kummer.html

References for Eduard Kummer Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Articles: R Calinger, The mathematics seminar at the University of Berlin : origins, founding, and the Kummer-Weierstrass years, in Vita mathematica (Washington, DC, 1996), 153-176. H M Edwards, Mathematical ideas, ideals, and ideology, The Mathematical intelligencer H M Edwards, Kummer, Eisenstein, and higher reciprocity laws, in Number theory related to Fermat's last theorem (Boston, Mass., 1982), 31-43. H M Edwards, The background of Kummer's proof of Fermat's last theorem for regular primes, Arch. History Exact Sci. K Hensel, Festschrift zur Feier des 100. Geburtstages Eduard Kummers (Leipzig-Berlin, 1910), 1-37. Nachrufe auf Berliner Mathematiker des 19. Jahrhunderts (Leipzig, 1988), 72-111. W Narkiewicz, Mathematics at Breslau University during the time of Kummer (Polish), Wiadom. Mat. NTM Schr. Geschichte Natur. Tech. Medizin P Ribenboim, Kummer's ideas on Fermat's last theorem, Enseign. Math.

10. References For Kummer References for the biography of eduard kummer K Hensel, Gedächtnisrede auf Ernst eduard kummer, Nachrufe auf Berliner Mathematiker des 19. http://www-history.mcs.st-and.ac.uk/~history/References/Kummer.html

References for Eduard Kummer Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Articles: R Calinger, The mathematics seminar at the University of Berlin : origins, founding, and the Kummer-Weierstrass years, in Vita mathematica (Washington, DC, 1996), 153-176. H M Edwards, Mathematical ideas, ideals, and ideology, The Mathematical intelligencer H M Edwards, Kummer, Eisenstein, and higher reciprocity laws, in Number theory related to Fermat's last theorem (Boston, Mass., 1982), 31-43. H M Edwards, The background of Kummer's proof of Fermat's last theorem for regular primes, Arch. History Exact Sci. K Hensel, Festschrift zur Feier des 100. Geburtstages Eduard Kummers (Leipzig-Berlin, 1910), 1-37. Nachrufe auf Berliner Mathematiker des 19. Jahrhunderts (Leipzig, 1988), 72-111. W Narkiewicz, Mathematics at Breslau University during the time of Kummer (Polish), Wiadom. Mat. NTM Schr. Geschichte Natur. Tech. Medizin P Ribenboim, Kummer's ideas on Fermat's last theorem, Enseign. Math.

11. KUMMER, Eduard - Www.matematik.dosyasi.com MATEMATIKÇILER. Edaurd kummer (1810 1893) kummer, Gauss’la birliktemodern aritmetigin kurucularindan kabul edilir. Çalismalari http://user.domaindlx.com/matematikdosyasi/matematikciler/kummer.htm

MATEMATÝKÇÝLER Edaurd Kummer (1810 - 1893) Kummer, Gauss ’la birlikte modern aritmetiðin kurucularýndan kabul edilir. Çalýþmalarý tamamen sayý teorisi üzerinedir. Kummer, 3 yaþýnda babasýný kaybetmiþ ve annesinin büyük özverisiyle okuyabilmiþtir. Sorau’daki Gymnasium’da eðitime baþlayan Kummer 18 yaþýnda din bilimi öðrenmek üzere Hale Üniversitesi'ne kayýt oldu. Kummer, üniversitede okuduðu dönemde, matematik profesörü Ferdinand Scherk’le tanýþtý. Scherk, Kummer’in matematiðe olan yeteneðini ve ilgisini farkederek onu matematiðe yönlendirdi. Kummer bu sayede din öðrenimini býrakýp matematik bölümüne geçmiþtir. Kummer, bu kararýyla ilgili olarak, matematiði felsefeye tercih ettiðini, çünkü hatalarýn ve yanlýþ görüþlerin matematiðe giremeyeceðini söylemiþtir. Kummer, üniversite öðreniminin ardýndan, hiçbir üniversitede açýk yer bulunamadýðý için, okuduðu Gymnasium’da mesleðine baþladý. Bir yýl sonra Liegnitz’e nakledildi ve burada on yýl aralýksýz dersler verdi ve 1842 yýlýnda Breslav üniversitesinde matematik profesörü tayin edildi. Kummer, ideal sayýlar kavramýný ortaya atmýþ, Gauss’un bikuadratik karþýtlýk kanunu üzerindeki çalýþmalarýný ileri götürmüþ ve dördüncüden yüksek dereceler için karþýtlýk kanunlarý aramýþtýr. Kummer’e dünya çapýnda ün getirem çalýþmasý

12. Matematikçiler - Www.matematik.dosyasi.com Carl Friedrich GÖDEL, Kurt HERMITE, Charles HILBERT, David HUYGENS, Christaan JACOBI,Carl KLEIN, Felix KRONECKER, Leopold kummer, eduard LAGRANGE, Joseph http://user.domaindlx.com/matematikdosyasi/matematikciler/

..:: MATEMATÝKÇÝLER ::.. Cahit ARF 1910 yýlýnda Selanik'te doðdu. Yüksek öðrenimini Fransa'da Ecole Normale Superieure'de tamamladý (1932). Bir süre Galatasaray Lisesi'nde matematik öðretmenliði yaptýktan sonra Ýstanbul Üniversitesi Fen Fakültesi'nde doçent adayý olarak çalýþtý. Doktorasýný yapmak için Almanya'ya gitti. 1938 yýlýnda Göttingen Üniversitesi'nde doktorasýný bitirdi. Yazýnýn Tamamý GAUSS, Carl Friedrich "Matematikçilerin Prensi" olarak anýlan Gauss, 1777'de Almanya'da doðdu. Gauss'un dehasý çok erken yaþlarda kendini göstermiþ ve konuþmayý öðrenmeden önce toplama ve çýkarma yapmayý öðrenmiþtir. Güç koþullar altýnda sürdürdüðü eðitimini, 14 yaþýnda bir asilin saðladýðý destekle güvence altýna alabilmiþtir. Yazýnýn Tamamý Yabancý Matematikçiler ABEL, Niels Henrik APOLLONIUS BOLZANO, Bernhard BOOLE, George ... WEYL, Herman Türk Matematikçiler Ahmet FERGANÝ Ali KUÞÇU Cahit ARF Gelenbevi ÝSMAÝL ... Uluð Bey Kaynaklar: Büyük Larousse, Sanalmatematik.com, Nobel Yayýncýlýk, Bilim ve Teknik, Kimkimdir.gen.tr, Matematik.edu.tr.tc, Bilimtarihi.gen.tr

13. VEDA 26.8. MATEMATIKOVÉ V HISTORII Ernst eduard kummer Jirí Svršek narozen29. ledna 1810 v Sorau, Brandenburg, Prusko (nyní Nemecko) zemrel 14. http://pes.eunet.cz/veda/clanky/14771_48_0_0.html

NEVIDITELNÝ PES EUROPE'S ZVÍØETNÍK BYDLENÍ ... ENCYKLOPEDIE Nedìle 26.8.2001 Svátek má Ludìk Biologie a pøíroda Vesmír Fyzika Medicína ... Archiv vydání Nadpis Autor Text èlánku Alena Marešová Neviditelný pes již pøed èasem uveøejnil dotazník paní doktorky Marešové z Institutu pro kriminologii a sociální prevenci v Praze, týkající se extremismu. Nyní vás znovu prosí o pomoc. Institut pro kriminologii a sociální prevenci se t.è. zabývá trestnou èinností policistù - jejími pøíèinami, nezbytnými podmínkami její existence a možnostmi její redukce. Dílèím úkolem je zjištìní, jak v souèasnosti policii a policisty vnímá veøejnost a odborná veøejnost. Ze zkušených pracovníkù justice a policie byl vytvoøen soubor expertù, jejichž názory budou zpracovány a interpretovány zvl᚝ .Vzhledem k vynikajícím zkušenostem ze sbìru názorù prostøednictvím dotazníkù pøedložených internetové èásti veøejnosti, také v tomto pøípadì jsem zpracovala krátký dotazník a prosím uživatele internetu o jeho vyplnìní. Pro zájemce uvádím program 43. semináøe Spoleènosti pro talent a nadání - ECHA:

14. A Quotation By Kummer A quotation by eduard kummer. It is greatly to be lamented that this virtue of the real integers that they can be http://www-history.mcs.st-and.ac.uk/history/Quotations/Kummer.html

A quotation by Eduard Kummer It is greatly to be lamented that this virtue of the real integers that they can be decomposed into prime factors which are slways the same for a given integer does not belong to the complex integers [of arbitrary cyclotomic number fields], for were this the case, the entire theory, which is still labouring under many difficulties, could easily be resolved and brought to a conclusion. De numeris complexis, qui racidibus unitates et numeris integris realibus constant Main index Biographies Index History Topics Societies, honours, etc. ... Anniversaries for the year JOC/EFR February 2000 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/history/Quotations/Kummer.html

15. VEDA MATEMATIKOVÉ V HISTORII Ernst eduard kummer Jirí Svršek kummerova popularitajako profesora byla založena nejen na jasnosti jeho prednášek, ale také http://pes.eunet.cz/veda/48_0_0/1000677600.html

NEVIDITELNÝ PES EUROPE'S ZVÍØETNÍK BYDLENÍ ... ENCYKLOPEDIE Pondìlí 17.9.2001 Svátek má Nadìžda Biologie a pøíroda Vesmír Fyzika Medicína ... Archiv vydání Nadpis Autor Text èlánku Nabídka online služby ProQuest 5000 se rozrostla do konce roku o tøi databáze Národní licence na elektronickou informaèní sužbu ProQuest 5000, díky níž mají od loòského roku vysoké školy, Akademie vìd ÈR, veøejné knihovny a další instituce možnost bezplatného pøístupu ke ètyøem tisícùm odborných èasopisù, byla doèasnì -od 1. záøí do 31. prosince 2001 - rozšíøena o další tøi významné oborové databáze: AGRICOLA PlusText, ERIC PlusText a MEDLINE with Full Text. Hlavní pøednost tìchto informaèních zdrojù spoèívá v tom, že spojují kvalitní indexování èlánkù pomocí øízených slovníkù (tezaurù) èásteènì s jejich plnými texty. AGRICOLA PlusText pokrývá zemìdìlství, veterinární lékaøství, lesnictví, ekologii, zoologii, botaniku a výživu. Databáze zahrnuje bibliografické záznamy z více než 830 èasopisù od roku 1970 (z toho je 52 titulù k dispozici v plném znìní s prùmìrnì ètyøletou retrospektivou - napø. Biochemistry, Bioscience, Canadian Journal of Zoology, Journal of Nutrition aj.). ERIC FullText je zamìøena na rùzné aspekty vzdìlávání (vèetnì vývojové psychologie, protidrogové prevence, managementu škol, poradenství, výuky odborných pøedmìtù, celoživotního vzdìlávání) a rovnìž na knihovnictví. Úplná retrospektiva bibliografických záznamù z 1060 èasopisù sahá do roku 1966 (zhruba ètvrtina z nich je pøístupná v plnotextové podobì od roku 1994 - napø. Adult Education, Communication and Education, Harvard Educational Policy, Journal of Higher Education aj.). MEDLINE with Full Text obsahuje 11 miliónù záznamù ze 4300 medicínských èasopisù, z nichž 230 je pøístupných v plném znìní od roku 1997 (napø. AIDS Care, British Medical Journal, Canadian Medical Association Journal, JAMA, Journal of the American Medical Association, Lancet aj.). Texty jsou doprovázeny reprodukcemi fotografií, schémat a tabulek.

16. Kummer, Ernst Eduard kummer, Ernst eduard (18101893). German mathematician who introduced'ideal numbers' in the attempt to prove Fermat's last theorem. http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/k/Kummer/1.html

Kummer, Ernst Eduard German mathematician who introduced 'ideal numbers' in the attempt to prove Fermat's last theorem. His research into systems of rays led to the discovery of the fourth-order surface known as the Kummer surface. Kummer was born in Sorau (now Zary, Poland) and studied at Halle. He was professor at Breslau 1842-55, when he was appointed to professorships at the University of Berlin and the Berlin War College. Ideal numbers is one of the most creative and influential ideas in the history of mathematics. With their aid Kummer was able to prove, in 1850, that the equation: xl + yl + zl = The Kummer surface can be described as the quartic which is the singular surface of the quadratic line complex and involves the very sophisticated and complicated concept of this surface as the wave surface in space of four dimensions. Kummer also made an important contribution to function theory by his investigations into hypergeometric series.

17. Punkterangliste Feldschiessen 2002Punkterangliste Feldschiessen 2002 Dieterswil- Ernst eduard kummer (1810 1893) Matemático e professor alemão nascido em Sorau, criador da teoria aritmética dos ideais. Órfão de pai aos três anos de idade foi levado pela mãe para estudar na Universidade de Halle, onde se doutorou aos 21 http://www.seelandschuetzen.ch/resultate/FS02_Punkterangliste.htm

18. Ernst Eduard Kummer Translate this page Ernst eduard kummer (1810 - 1893). Matemático alemán recordado por sus trabajossobre series hipergeométricas, teoría de números y funciones algebraicas. http://es.geocities.com/fisicas/cientificos/matematicos/kummer.htm

Ernst Eduard Kummer (1810 - 1893) x y '' + (c - x) y ' - a y = Teorema de Kummer: La conjetura de Fermat es verdadema para todo exponente p entero primo regular. http://es.geocities.com/fisicas/ Los autores: e fisicas@yahoo.es

19. Kummer Translate this page kummer Ernst eduard allemand, 1810-1893 Après des études à l'universitéde Halle, kummer commence sa carrière comme professeur de lycée. http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Kummer.html

KUMMER Ernst Eduard allemand, 1810-1893 Kronecker et Cantor Gauss Dirichlet Weierstrass ... Dedekind et Kronecker Poursuivant des travaux de Gauss de Fermat grand ou dernier Cauchy Wiles : S u n n Critère de Raabe-Duhamel : Peirce Benjamin Galois

20. FLThistory complex numbers. Ernst eduard kummer. The next person to make a largecontribution to Fermat's last theorem (FLT) was eduard kummer. In http://www.bath.ac.uk/~ma0dmp/FLThist.html

A history of Fermats Last Theorem Pierre de Fermat When Fermat died he left behind him a number of theories but in the margin of a translation of Diophantus's Arithmetica, was scribbled one of his most famous theories. Fermat had not published much of his mathematical ideas and his friends feared that if nothing was done he would be forgotten. The responsibility for collecting all his letters, mathematical papers and books he scribbled notes in, fell to Fermat's son Samuel. It was Samuel who discovered the writing in the book and thus the world was exposed to what became known as Fermat's Last Theorem. Samuel was looking through Diophantus's Arithmetica when he found that Fermat had written, "There are no positive integers such that x^n + y^n = z^n for n>2. I've found a remarkable proof of this fact, but there is not enough space in the margin (of the book) to write it." Diophantus's Arithmetica was one of a number of books, 11 in all, that he published but many of these have been lost or destroyed. Yet many translations still survive the most famous of which is Bachet's translation, as it was this translation that Fermat studied from. After Fermat wrote this he continued his work on the subject sending proofs to other mathematicians on the special cases of n=4 and n=3. This has led to some speculation that this was because Fermat realised that his "remarkable proof" was incorrect and was therefore trying to prove the special cases. Also Fermat never mentioned the generalised proof again.

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