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         Kummer Eduard:     more books (21)
  1. Contributions to Number Theory (Ernst Eduard Kummer Collected Papers, Volume 1) (German Edition) by S Lang, 1975-06
  2. Uber Die Allgemeinen Reciprocitatsgesetze Unter Den Resten Und Nichtresten Der Potenzen, Deren Grad Eine Primzahl Ist (1859) (German Edition) by Ernst Eduard Kummer, 2010-09-10
  3. De Numeris Complexis, Qui Radicibus Unitatis Et Numeris Integris Realibus Constant (1844) (Latin Edition) by Ernst Eduard Kummer, 2010-09-10
  4. Über Die Allgemeinen Reciprocitätsgesetze Den Resten Und Nichtresten Der Potenzen, Deren Grad Eine Primzahl Ist (German Edition) by Ernst Eduard Kummer, 2010-01-09
  5. Festschrift zur Feier des 100. Geburtstages Eduard Kummers; mit Briefen an seine Mutter und an Leopold Kronecker. Hrsg. vom Vorstande der Berliner Mathematischen Gesellschaft (German Edition) by Ernst Eduard Kummer, 2010-06-19
  6. ORIGINAL PRINTED PATENT APPLICATION NUMBER 24,164 FOR IMPROVEMENTS IN WATCH MOVEMENTS. (1910) by Eduard (inventor). Kummer, 1910-01-01
  7. Die Hymenopteren Deutschlands nach Ihren Gattungen (German Edition) by E. L. Taschenberg, Verlag von Eduard Kummer., 2010-04-06
  8. De numeris complexis qui unitatis radicibus et numeris integris realibus constant by Ernst Eduard Kummer, 2009-08-19
  9. Uber Die Allgemeinen Reciprocitatsgesetze Unter Den Resten Und Nichtresten Der Potenzen, Deren Grad Eine Primzahl Ist (1859) (German Edition) by Ernst Eduard Kummer, 2010-09-10
  10. Aus Hannovers Gegenwart. Eine politische Novelle by Hermann Klencke, 1868-01-01
  11. Kryptogamen-Flora Von Deutschland, Oesterreich Und Der Schweiz by L. Rabenhorst, 1881
  12. Beitr?ge Zur N?heren Kenntniss Und Verbreitung Der Algen [Parts 1 & 2] by L., Dr Rabenhorst, 1863-01-01
  13. Das Weib als Gattin: Lehrbuch über die physischen, seelischen und sittlichen Pflichten, Rechte und Gesundheitsregeln der deutschen Frau im Eheleben by Dr. med. Hermann Klencke, 1893
  14. Die Pilze. Deutschlands, Oesterreichs und der Schweiz. I: Schizomyceten, Saccharomyceten und Basidiomyceten. II: Ascomyceten: Gymnoasceen und Pyrenomyceten. III: Ascomyceten: Hysteriaceen und Discomyceten by Georg Winter & H. Rehm, 1884

1. 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.

2. Poster Of Kummer
Eduard Kummer. lived from 1810 to 1893. Kummer s main achievementwas the extension of results about the integers to other integral
http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Kummer.html
Eduard Kummer lived from 1810 to 1893 Kummer 's main achievement was the extension of results about the integers to other integral domains by introducing the concept of an ideal. Find out more at
http://www-history.mcs.st-andrews.ac.uk/history/
Mathematicians/Kummer.html

3. 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)

4. Freiheitliche Arbeitnehmer
Translate this page 19, 35, ANGERER Isabella, 9062 Moosburg, Moorhofweg 1, 36, kummer eduard, 9500Villach, Enzenbergstraße 7a, 37, MISCHKOT Harald, 9586 Fürnitz, Dorfstraße30a,
http://www.fa-kaernten.at/kandidaten.php
Fortl.
Nummer Familien- u. Vorname Ordentlicher Wohnsitz
Bild DOLINSCHEK Sigisbert 9173 St. Margarethen, Gotschuchen 66 PUNTSCHART Rosemarie 9020 Klagenfurt, Steinbockweg 4 TRAAR Hanspeter MISCHELIN Manfred 9614 Vorderberg 69 BAUMANN Erwin 9523 Villach-Landskron, Emailwerkstraße 34 TRETTENBREIN Harald 9400 Wolfsberg, Buchenweg 12 OBERWANDLING Günther 9545 Radenthein, Schrott 33 KRENN Manfred 9073 Viktring, F.Podesserg. 7 GEROLD Daniel 9121 Tainach, Drauhofen 15 MOSER Gottfried 9312 Meiselding, Nr. 34 KASTNER Harald Ing. 9702 Ferndorf 48 STEINER Reinhard 9560 Feldkirchen, Agsdorf 113

5. Ernst Eduard Kummer --  Encyclopædia Britannica
Subscribe. My Account. All Britannica.com. Encyclopædia Britannica. Britannica Student Encyclopedia. Britannica Concise Encyclopedia. Websites. Video and Media. Dictionary. Thesaurus. Not sure of the
http://www.britannica.com/eb/article?eu=47497

6. Science Jokes:Ernst Eduard Kummer
Ernst eduard kummer. Ernst eduard kummer (18101893), German mathematician.
http://www.xs4all.nl/~jcdverha/scijokes/Kummer.html
Index Comments and Contributions Index Jokes with Famous Scientists
Ernst Eduard Kummer
Ernst Eduard Kummer (1810-1893), German mathematician Index Comments and Contributions

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) Ernst eduard kummer. Born 29 Jan 1810 in Sorau, Brandenburg, Prussia (now Germany) Main index. 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. Kummer
anecdotes and quotations of Eudard kummer Scientists Page. kummer, ERNST eduard. German mathematician (18101893) kummer was a number theorist of the highest order, but for much of his career a
http://www.geocities.com/ilian73/kummer.html
Scientists Page
KUMMER, ERNST EDUARD
German mathematician (1810-1893)
    Kummer was a number theorist of the highest order, but for much of his career a fierce patriotism fired by Napoleon's invasion deflected him from his true calling. Traumatized by the experience, Kummer swore to do his utmost to defend his country from further attack, and as soon as he left university he applied his intellect to the problem of plotting the trajectories of cannonballs. Ultimately he taught the laws of ballistics at Berlin's war college. But in parallel with his military career Kummer actively pursued pure mathematical research. Kummer created ideal numbers and demonstrated that a complete proof of Fermat's Last Theorem was beyond the current mathematical approaches.
7 x 9 is . . .
[This story, true or not, illustrates just how different pure mathematics is from general perception of it as arithmetic.]
(D. George, An Eclectic ABC , 1964, p.126-7)
added a twist to above anecdote with a story on how Kummer calculated 7 x 9:
Kummer said to himself: "Hmmm, the product cannot be 61, because 61 is a prime number, it cannot be 65, because 65 is a multiple of 5, 67 is a prime, 69 is too big - Only 63 is left."

10. Ernst Eduard Kummer --  Encyclopædia Britannica
Encyclopædia Britannica, kummer, Ernst eduard Encyclopædia Britannica Article. MLAstyle Ernst eduard kummer. Encyclopædia Britannica. 2004.
http://www.britannica.com/eb/article?eu=47497&tocid=0&query=ideal&ct=

11. 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.

12. Ernst Kummer - Wikipedia, The Free Encyclopedia
Ernst eduard kummer ( 29 January1810 in Sorau, Brandenburg, Prussia Capable in applied mathematics, kummer trained German army officers in ballistics; afterwards, he taught for 10
http://en2.wikipedia.org/wiki/Ernst_Kummer
Ernst Kummer
From Wikipedia, the free encyclopedia.
Ernst Eduard Kummer 29 January in Sorau Brandenburg Prussia 14 May in Berlin Germany ) was a German mathematician . Capable 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 . In , Kummer retired from teaching and from mathematics. Kummer made several contributions to mathematics in different areas; he codified some of the relations between different hypergeometric series (contiguity relations). The Kummer surface results from taking the quotient of a two-dimensional abelian variety orbifold : it has 16 singular points, and its geometry was intensively studied in the nineteenth century 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 n-th root to a field already containing a primitive n-th

13. Ernst Kummer
Ernst kummer. Ernst eduard kummer (29 January 1810 14 May 1893) wasa German mathematician. Capable in applied mathematics, kummer
http://www.fact-index.com/e/er/ernst_kummer.html
Main Page See live article Alphabetical index
Ernst Kummer
Ernst Eduard Kummer 29 January 14 May ) was a German mathematician . Capable 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 . In , Kummer retired from teaching and from mathematics. Kummer made several contributions to mathematics in different areas; he codified some of the relations between different hypergeometric series (contiguity relations). The Kummer surface results from taking the quotient of a two-dimensional abelian variety orbifold : it has 16 singular points, and its geometry was intensively studied in the nineteenth century 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 n-th root to a field already containing a primitive n-th 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

14. Encyclopedia: Ernst Eduard Kummer
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    Encyclopedia : Ernst Eduard Kummer
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    Usage implies agreement with terms

    15. Education World Search
    aip.org/history/esva/exhibits/boltz.htm. kummer. eduard. http//wwwgroups.dcs.st-and.ac.uk/~ history/Mathematicians/kummer.html. Heine. eduard. http//www-groups
    http://db.educationworld.com/search97cgi/s97r_cgi?queryText=Eduard Poeppig&R

    16. Los Grandes Matemáticos. E. T. Bell
    Capítulo Vigesimoséptimo. LA ARITMETICA, LO SEGUNDO. kummer Y DEDEKIND La Aritmética moderna, después de Gauss, comenzó con kummer. El origen de la teoría de kummer en su Aunque Ernst eduard
    http://www.geocities.com/grandesmatematicos/cap27.html
    C O N T E N I D O
    Aclaraciones

    Citas

    Introducción

    Zenón, Eudoxio y Arquímedes
    ...
    Bajar Parte 3

    Capítulo Vigesimoséptimo
    LA ARITMETICA, LO SEGUNDO
    KUMMER Y DEDEKIND
    Vemos, por tanto, que los factores primos ideales revelan la esencia de los números complejos, los hacen, por así decir, transparentes, y descubren su estructura cristalina interna. E. E. Kummer. Muchos de mis lectores quedarán grandemente disgustados al saber que por esta vulgar observación se revela el secreto de la continuidad. R. Dedekind
    La Aritmética moderna, después de Gauss, comenzó con Kummer. El origen de la teoría de Kummer en su intento para demostrar el último teorema de Fermat ya ha sido mencionado en otro lugar (Capítulo XXV). Algo más de la larga vida del hombre puede ser referido, antes de que nos ocupemos de Dedekind. Kummer era un típico alemán de la antigua escuela, con toda la tenaz simplicidad, bonachona naturaleza y buen humor que caracterizó una especie a punto de desaparecer. Ejemplares de museo podrán encontrarse aún, hace una generación, en cualquier jardín de una cervecería alemana de San Francisco.
    Kummer fue uno de esos raros genios científicos que muestran su capacidad para la Matemática más abstracta, para sus aplicaciones de los problemas prácticos, incluyendo la guerra, que es la menos práctica de todas las tonterías humanas y, finalmente, para la física experimental. Su obra más importante pertenece a la teoría de números, donde su profunda originalidad le llevó a invenciones de una importancia de primer orden, pero en otros campos, el Análisis, la Geometría y la física aplicada, su labor fue también sobresaliente.

    17. Science Jokes:10. ANECDOTES ABOUT FAMOUS SCIENTISTS
    Special Category Ernst eduard kummer Ernst eduard kummer (18101893),a German algebraist, was rather poor at arithmetic. Whenever
    http://www.xs4all.nl/~jcdverha/scijokes/10.html
    10. ANECDOTES ABOUT FAMOUS SCIENTISTS
    Index Comments and Contributions previous page mathematics
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    Bottom of page Index Send comment ... Special Category: Ernest Rutherford physics
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    Bottom of page Index Send comment ... Special Category: Ernest Rutherford From: chollanamdo#NoSpam.mindspring.com (The Sanity Inspector) Too bad Kelvin largely remembered as a fount of regrettable quotations these dayshe *did* do a lot of heavy lifting to get us from then to now. I came into the room, which was half dark, and presently spotted Lord Kelvin in the audience and realized that I was in for trouble at the last part of my speech dealing with the age of the earth, where my views conflicted with his. To my relief, Kelvin fell fast asleep, but as I came to the important point, I saw the old bird sit up, open an eye and cock a balefule glance at me! Then a sudden inspiration came, and I said Lord Kelvin had limited the age of the earth, *provided no new source (of energy) was discovered.* That prophetic utterance refers to what we are now considering tonight, radium! Behold! the old boy beamed upon me. Ernest Rutherford mathematics
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    Bottom of page Index Send comment From: entropy#NoSpam.pawl.rpi.edu (Mark-Jason Dominus)

    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. Biografia De Kummer, Ernst Eduard
    Translate this page kummer, Ernst eduard. (Sorau, 1810-Berlín, 1893) Matemático alemán.Desarrolló la teoría de integrales definidas y la de ecuaciones
    http://www.biografiasyvidas.com/biografia/k/kummer.htm
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    Kummer, Ernst Eduard (Sorau, 1810-Berlín, 1893) Matemático alemán. Desarrolló la teoría de integrales definidas y la de ecuaciones diferenciales, las series y las transformaciones hipergeométricas. Dio su nombre a algunas superficies geométricas especiales. Inicio Buscador Recomendar sitio

    20. Lexikon - Ernst Eduard Kummer Definition Erklärung Bedeutung
    Translate this page Was Wer Wo ist Ernst eduard kummer - Definition Erklärung Bedeutung von Ernst eduardkummer. Logo Net-Lexikon, Google News zum Stichwort. Ernst eduard kummer.
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    Ernst Eduard Kummer
    Definition, Bedeutung, Erkl¤rung im Lexikon
    Ernst Eduard Kummer 29. Januar in Sorau ( Brandenburg 14. Mai in Berlin ) war ein deutscher Mathematiker Kummer war Professor in Breslau (1842 - 1855) und Berlin, f¼hrte die vollkommenen Zahlen ein und erweiterte damit die G¼ltigkeit fundamentaler Lehrs¤tze der Zahlentheorie auf allgemeinere algebraische Zahlk¶rper
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