1. Dedekind Biography of Richard Dedekind (18311916) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. Richard Dedekind Richard Dedekind(18311916) was born on October 6, 1831, in Brunswick, Germany, the birthplace of Gauss. He was the youngest of four children. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Escuela De Matem Ticas - UCV Johannes Lagrange, Joseph Louis de Laplace, Pierre Simon de Dedekind, Richard Richard Dedekind, nacido en Oct. 6, 1831, muerto en http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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5. Richard Dedekind Attended School In Brunswick From The Age Of 7 Julius Wihelm Richard Dedekind Julius Wihelm Richard Dedekind 18311916 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Richard Dedekind, 1831-1916 PREVIOUS UP NEXT. Richard Dedekind, 18311916 What are numbers and what are they for? (1888) PREVIOUS UP NEXT This file is Dedekind.html http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Richard Dedekind - Wikipedia, The Free Encyclopedia Essays on the Theory of Numbers, Richard Dedekind, Dover Publications, Inc., 1963 . Theory of Algebraic Integers, Richard Dedekind, Cambridge University http://en.wikipedia.org/wiki/Richard_Dedekind

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$150,000 has been donated since the drive began on 19 August. Thank you for your generosity! Richard Dedekind From Wikipedia, the free encyclopedia. Richard Dedekind Julius Wilhelm Richard Dedekind October 6 February 12 ) was a German mathematician and Ernst Eduard Kummer 's closest follower in arithmetic Dedekind was born in Braunschweig Brunswick ) the youngest of four children of Julius Levin Ulrich Dedekind. He later rejected his first names Julius Wilhelm. He lived with his unmarried sister Julia until her death in . He himself also never married. In , he entered the Collegium Carolinum in Brunswick and in with a solid grounding in mathematics he entered the University of G¶ttingen In G¶ttingen Gauss taught mathematics mostly at an elementary level. In the departments of mathematics and physics, Dedekind learnt about number theory . Among Dedekind's main professors was Moritz Abraham Stern who at that time wrote many works on number theory. He completed his short doctoral thesis under the supervision of Gauss œber die Theorie der Eulerschen Integrale On the Theory of Eulerian integrals ). His thesis showed some of his independent thinking but didn't show any of the special talent which was visible on almost every page of Dedekind's later works. Nevertheless, Gauss must certainly have seen Dedekind's gift for mathematics. Dedekind received his doctorate in

8. Essays On The Theory Of Numbers - DEDEKIND, RICHARD Essays on the Theory of Numbers; DEDEKIND, RICHARD. Offered by The Victoria Bookshop http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Richard Julius Wilhelm Dedekind RICHARD JULIUS WILHELM DEDEKIND (1831 1916) Richard Dedekind was a German mathematician who was born in 1831 in Brunswick. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Theory Of Algebraic Integers By Dedekind, Richard;Stillwell, John Obama, Barack 15 340? ADD. Theory of Algebraic Integers Dedekind, Richard, Stillwell, John (Translator) Click on image to see enlargement http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Philosophy Of Mathematics Class Notes Dedekind's Postulate. Given line l 1 , split it into c 1 and c 2 such that l = c 1 c 2 , and c 1 and c 2 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Richard Dedekind: Information From Answers.com Dedekind, Julius Wilhelm Richard ( yul y?s vil helm rikh ärt da d?kint ) ,1831–1916, German mathematician. http://www.answers.com/topic/richard-dedekind

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Encyclopedia Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Richard Dedekind Encyclopedia Dedekind, Julius Wilhelm Richard yÅ«l yʊs vÄ­l hĕlm rÄ­kh ¤rt dā dəkÄ­nt ) , 1831–1916, German mathematician. Dedekind studied at G¶ttingen under the German mathematician Carl Gauss and in 1852 received his doctorate there for a thesis on Eulerian integrals. In 1858 he went to Z¼rich as a professor; in 1862 he returned to his home town Brunswick to become a professor there. Dedekind led the effort to formulate rigorous definitions of basic mathematical concepts. Perhaps his best-known contribution is the “Dedekind cut,” whereby real numbers can be defined in terms of rational numbers. He also did fundamental work in algebraic number theory, introducing the notion of ideal in ring systems. Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); Richard Dedekind Richard Dedekind Julius Wilhelm Richard Dedekind October 6 February 12 ) was a German mathematician and Ernst Eduard Kummer 's closest follower in arithmetic Dedekind was born in Braunschweig Brunswick ) the youngest of four children of Julius Levin Ulrich Dedekind. He later rejected his first names Julius Wilhelm. He lived with his unmarried sister Julia until her death in

13. Richard_Dedekind Essays on the Theory of Numbers , Richard Dedekind, Theory of AlgebraicIntegers , Richard Dedekind, Cambridge University Press, 1996. http://copernicus.subdomain.de/Richard_Dedekind

Suche: Main Page right '''Julius Wilhelm Richard Dedekind''' ( October 6 February 12 ) was a German mathematician and Ernst Eduard Kummer 's closest follower in arithmetic Dedekind was born in Braunschweig (''Brunswick'') the youngest of four children of Julius Levin Ulrich Dedekind. He later rejected his first names Julius Wilhelm. He lived with his unmarried sister Julia until her death in ; he himself also never married. In , he entered Collegium Carolinum in Brunswick and in with the solid knowledge in mathematics he entered the University of G�ttingen In G�ttingen Gauss taught mathematics mostly at an elementary level. In the departments of mathematics and physics, Dedekind learnt about number theory . Among Dedekind's main professors was Moritz Abraham Stern who at that time wrote many works on number theory. He made his short doctoral thesis supervised by Gauss ''�ber die Theorie der Eulerschen Integrale'' (''On the Theory of Eulerian integral s''). His thesis was dexterous and autonomous but it didn't show any of the special talent which was visible on almost every page of Dedekind's later works. Nevertheless, Gauss must certainly have seen Dedekind's gift for mathematics. Dedekind received his doctorate in and he was Gauss's last student.

14. Richard Dedekind - Definition Of Richard Dedekind In Encyclopedia Julius Wilhelm Richard Dedekind (October 6, 1831 February 12, 1916) was a Germanmathematician and Ernst Eduard Kummer s closest follower in arithmetic. http://encyclopedia.laborlawtalk.com/Richard_Dedekind

Add to Favorites General Encyclopedia Legal ... Law forum Search Word: Visit our Law forums Labor Law Accidents Law Bankruptcy Law Business Law ... Tax Law Julius Wilhelm Richard Dedekind October 6 February 12 ) was a German mathematician and Ernst Eduard Kummer 's closest follower in arithmetic Dedekind was born in Braunschweig Brunswick ) the youngest of four children of Julius Levin Ulrich Dedekind. He later rejected his first names Julius Wilhelm. He lived with his unmarried sister Julia until her death in , he himself also never married. In , he entered Collegium Carolinum in Brunswick and in with the solid knowledge in mathematics he entered the University of Göttingen In Göttingen Gauss taught mathematics mostly at an elementary level. In the departments of mathematics and physics, Dedekind learnt about number theory . Among Dedekind's main professors was Moritz Abraham Stern who at that time wrote many works on number theory. He made his short doctoral thesis supervised by Gauss Über die Theorie der Eulerschen Integrale On the Theory of Eulerian integrals ). His thesis was dexterous and autonomous but it didn't show any of the special talent which was visible on almost every page of Dedekind's later works. Nevertheless, Gauss must certainly have seen Dedekind's gift for mathematics. Dedekind received his doctorate in

15. Catàleg De Les Biblioteques De La UPC dedekind richard (5) 5 entrades. 1. Essays on the theory of numbers Dedekind,Richard ¿Qué son y para qué sirven los núm Dedekind, Richard http://biblioteques.upc.es/cgi-bin/vtls.web.gateway?authority=0029-82180&conf=08

16. Julius Wihelm Richard Dedekind Richard Dedekind attended school in Brunswick from the age of 7, and at thisstage mathematics was not his main interest. The school was a good one and http://www.stetson.edu/~efriedma/periodictable/html/Db.html

Julius Wihelm Richard Dedekind Dedekind made a number of highly significant contributions to mathematics and his work would change the style of mathematics into what is familiar to us today. One remarkable piece of work was his redefinition of irrational numbers in terms of Dedekind cuts which first came to him as he was thinking about how to teach calculus. His work on mathematical induction, including the definition of finite and infinite sets, and his work in number theory, particularly in algebraic number fields, is also of major importance. Among Dedekind's other notable contributions to mathematics were his editions of the collected works of Dirichlet, Gauss, and Riemann. His study of Dirichlet's work did, in fact, to lead to his own study of algebraic number fields, as well as to his introduction of ideals. In a joint paper with Heinrich Weber published in 1882, he applies his theory of ideals to the theory of Riemann surfaces. This gave powerful results such as a purely algebraic proof of the Riemann-Roch theorem. Dedekind's work was quickly accepted, partly because of the clarity with which he presented his ideas. Dedekind's notion of an ideal was taken up and extended by Hilbert and then later by Emmy Noether. This led to the unique factorization of integers into powers of primes to be generalised to ideals in other rings.

17. Program Files\Netscape\Communicator\Program\dedekind Richard Dedekind was born into the life of research and experimental theory.His father was a professor at the Collegium Carolinum in Brunswick. http://www.andrews.edu/~calkins/math/biograph/199899/biodedek.htm

Back to the Table of Contents Richard Julius Wilhelm Dedekind Born on 6 October 1831 in Braunschweig, duchy of Braunschweig (Germany) Died on 12 Feb 1916 in Braunschweig, duchy of Braunschweig (Germany) Early Life Richard Dedekind was born into the life of research and experimental theory. His father was a professor at the Collegium Carolinum in Brunswick. His mother was the daughter of a professor, also working at the Collegium Carolinum in Brunswick. He was the youngest of four children and never married. Although he never married he still had the company of the opposite sex. He lived with one of his sisters, who also never married, for most of his adult life. He attended school throughout his child hood at Brunswick. At the age of seven Richard's interest was not in the field of Mathematics. Soon he attended the school of Martino-Catherineum which was a good school for the study of physics and chemistry. However Richard's soon took a disliking to the fields of physics because of the imprecise logical structure and soon he returned to the field of Mathematics. Schooling and mid-life In 1850 Dedekind attended his first courses given by Gauss on the subject of least squares: ...fifty years later Dedekind remembered the lectures as the most beautiful he had ever heard, writing that he had followed Gauss with constantly increasing interest and that he could not forget the experience.

18. Richard Dedekind Richard Dedekind. AKA Julius Wilhelm Richard Dedekind. Born 6Oct-1831 BirthplaceBraunschweig, Germany Died 12-Feb-1916 Location of death Braunschweig, http://www.nndb.com/people/367/000087106/

This is a beta version of NNDB Search: All Names Living people Dead people Band Names Book Titles Movie Titles Full Text for Richard Dedekind AKA Julius Wilhelm Richard Dedekind Born: 6-Oct-1831 Birthplace: Braunschweig, Germany Died: 12-Feb-1916 Location of death: Braunschweig, Germany Cause of death: unspecified Gender: Male Ethnicity: White Sexual orientation: Straight Occupation: Mathematician Level of fame: Niche Executive summary: Developed theory of irrational numbers Father: Julius Levin Ulrich Dedekind (lawyer) Sister: Julia (d. 1914) High School: Gymnasium Martino-Catharineum, Braunschweig (1838–47) High School: Collegium Carolinum, Brunswick (1848–50) University: Teacher: Teacher: Technical High School, Braunschweig (1862-) Author of books: Stetigkeit und Irrationale Zahlen , mathematics) Über die Theorie der ganzen algebraischen Zahlen , mathematics) Do you know something we don't? Submit a correction or make a comment about this profile

19. Richard Dedekind Richard Dedekind. 18311916. Biography. Photo Gallery 1872, published paperon Dedekind cuts to define real numbers. 1874, met Cantor http://dbeveridge.web.wesleyan.edu/wescourses/2001f/chem160/01/Who's Who/richard

Home Science Humanities Cantor ... Mendel Richard Dedekind Biography Photo Gallery Links to Outside Sources German mathematician who developed a major redefinition of irrational numbers in terms of arithmetic concepts. Although not fully recognized in his lifetime, his treatment of the ideas of the infinite and of what constitutes a real number continues to influence modern mathematics. Biography born October 6 entered University of Gottingen with solid math background from Collegium Carolinum in Brunswick received doctorate, last pupil of Gauss awarded habilitation degrees, began teaching at Gottingen began friendship with Dirichlet appointed to Polytechnikum in Zurich and began teaching appointed to Brunswick Polytechnikum (Callegium Carolinum upgraded), elected to the Gottingen Academy supplemented Dirichlet's lectures and introduced notion of an "ideal," a term he coined published paper on "Dedekind cuts" to define real numbers met Cantor published paper on purely arithmetic definition of continuity elected to Berlin Academy published joint paper with Heinrich Weber which applies his theory of ideals to the theory of Reimann Surfaces retired from Brunswick Polytechnikum elected to Academy of Rome, the Leopoldino-Carolina Naturae Curiosorum Academia, and the Academie des Sciences in Paris

20. Richard Dedekind Richard Dedekind. Dedekind was born in Brunswick, the birthplace of Gauss, andreceived his degree under Gauss at Göttingen. At Göttingen he also studied http://www.math.wfu.edu/~kuz/Stamps/Dedekind/Dedekind.html

Richard Dedekind Was sind und was sollen die Zahlen? (What are the numbers and what do they mean?) . These contributions, called part of the aritmetization of analysis, illustrate Dedekind's arithmetic and algebraic viewpoint; as a professor he was probably the first to give lectures on Galois theory. In algebraic number theory Dedekind introduced his theory of ideals to restore unique factorization; today integral domains in which every ideal is a unique product of prime ideals are called Dedekind domains. The stamp below presents an ideal written as a product of prime ideals. This stamp is one of my favorites; my Ph.D. thesis at the University of Wisconsin in 1970 was concerned with rings that were noncommutative analogs of Dededind domains. Richard Dedekind (1831-1916) German Democratic Republic Repubic (1981), No. 2181 About this document

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