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Dedekind Richard:     more books (59)

Essays on the Theory of Numbers: I. Continuity and Irrational Numbers, II. The Nature and Meaning of Numbers [ 1901 ] by Richard Dedekind, 2009-08-10 Richard Dedekind, 1831-1981: Eine Wurdigung zu seinem 150. Geburtstag (German Edition) Theory of Algebraic Integers (Cambridge Mathematical Library) by Richard Dedekind, 1996-09-28 Lectures on Number Theory (History of Mathematics Source Series, V. 16) by Peter Gustav Lejeune Dirichlet, Richard Dedekind, et all 1999-08-04 Essays On the Theory of Numbers: I. Continuity and Irrational Numbers, Ii. the Nature and Meaning of Numbers by Richard Dedekind, 2010-03-26 Festschrift Zur Feier Des Hundertfünfzigjährigen Bestehens Der Königlichen Gesellschaft Der Wissenschaften Zu Göttingen (German Edition) by Richard Dedekind, David Hilbert, 2010-04-02 Essays on the theory of numbers: I. Continuity and irrational numbers. II. The nature and meaning of number by Richard Dedekind, 1963 Vorlesungen Über Zahlentheorie, Volume 1 (German Edition) by Richard Dedekind, Peter Gustav Lejeune Dirichlet, 2010-03-16 Uber Die Elemente Der Theorie Der Euler'schen Integrale (1852) (German Edition) by Richard Dedekind, 2010-05-23 Was Sind Und Was Sollen Die Zahlen? (German Edition) by Richard Dedekind, 2010-02-22 What Are Numbers and What Should They Be? by Richard Dedekind, W. Snyder, 1995-01 Vorlesungen Über Zahlentheorie (German Edition) by Richard Dedekind, Peter Gustav Lejeune Dirichlet, 2010-04-02 Bernhard Riemann's Gesammelte Mathematische Werke Und Wissenschaftlicher Nachlass (German Edition) by Heinrich Weber, Bernhard Riemann, et all 2010-02-23 Frege, Dedekind, and Peano on the Foundation of Arithmetic (Methodology and Science Foundation : No. 2) by Dee Ann Gillies, Donald Gillies, 1982-06

lists with details

1. Richard Dedekind - Wikipedia, The Free Encyclopedia
   Richard Dedekind. From Wikipedia, the free encyclopedia. Reference. Essays onthe Theory of Numbers, Richard Dedekind, Dover Publications, Inc., 1963.  
   http://en.wikipedia.org/wiki/Richard_Dedekind
   
   Extractions: 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 and he was Gauss's last student.

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://www.math.ukans.edu/~engheta/bio/dedekind.html

3. Quotation By Richard Dedekind
   Richard Dedekind (1831 1916). As professor in the Polytechnic Schoolin Zürich I found myself for the first time obliged to lecture  
   http://www-gap.dcs.st-and.ac.uk/~history/Quotations2/1006.html

4. Bedeutende Mathematiker
   Translate this page dedekind richard (1831 - 1916, Braunschweig), Mersenne Marin (1588 - 1648, Paris). NewtonSir Isaac (1643 - 1727), dedekind richard (1831 - 1916, Braunschweig).  
   http://www.mathematik.ch/mathematiker/
   
   Extractions: Home Geschichte Mathematiker Zitate ... Suche alphabetisch nach Geburtsdatum Abel Niels (1802 -1829, Froland, Norwegen) Thales von Milet (um 625 - 546 v. Chr.) Appolonios von Perge (262 - 190 v.Chr., Pergamon?) Pythagoras von Samos (um 580 - 496 v. Chr., Kroton) Archimedes (287 - 212 v. Chr., Syrakus) Zenon von Elea (um 490 - um 430 v.Chr.) Aristoteles (384 - 322 v. Chr., Chalkis) Aristoteles (384 - 322 v. Chr., Chalkis) Banach Stefan (1892 - 1945, Lwów) Euklid von Alexandria (um 360 - um 300 v. Chr. ?) Bernoulli Jakob (1654 - 1705, Basel) Archimedes (287 - 212 v. Chr., Syrakus) Bernoulli Johann (Bruder von Jakob) (1667 - 1748, Basel) Appolonios von Perge (262 - 190 v.Chr., Pergamon?) Bernoulli Daniel (Sohn von Johann) (1700 - 1782, Basel) Ries Adam (1492 - 1559, Annaberg) Bessel Friedrich Wilhelm (1784 - 1846, Königsberg) Cardano Geronimo (1501 - 1576, Rom) Cantor Georg (1845-1918, Halle) Viète (Vieta) François (1540 - 1603, Paris) Cauchy Augustin Louis (1789 - 1857, Paris) Neper (Napier) John (1550 - 1617, Edinburgh) Cardano Geronimo (1501 - 1576, Rom)

5. Richard Dedekind - Wikipedia, The Free Encyclopedia
   Richard Dedekind. (Redirected from Dedekind). Reference. Essays on the Theory ofNumbers, Richard Dedekind, Dover Publications, Inc., 1963. ISBN 0486-21010-3.  
   http://en.wikipedia.org/wiki/Dedekind
   
   Extractions: (Redirected from 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 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 and he was Gauss's last student.

6. Richard Dedekind
   Richard Dedekind. Julius Wilhelm Richard Dedekind (October 6, 1831 February 12, 1916) was a German mathematician and Ernst Eduard  
   http://www.fact-index.com/r/ri/richard_dedekind.html
   
   Extractions: Main Page See live article Alphabetical index 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 and he was Gauss's last student.

7. Richard Dedekind
   Richard Dedekind Julius Wilhelm Richard Dedekind (October 6, 1831 February 12, 1916) was a German mathematician and Ernst Eduard  
   http://www.guajara.com/wiki/en/wikipedia/r/ri/richard_dedekind.html
   
   Extractions: 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 and he was Gauss's last student.

8. Dedekind
   Translate this page dedekind richard, allemand, 1831-1916. Né, comme Gauss, à Brunswick,il sera son élève à Göttingen. À la mort de Gauss (1855  
   http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Dedekind.html
   
   Extractions: DEDEKIND Richard, allemand, 1831-1916 Gauss Dirichlet Weber Cantor La construction axiomatique des ensembles de nombres Dedekind donna une construction axiomatique de l'ensemble N Peano corps Stetigkeit und Irrationalzahlen Eudoxe ) : tout rationnel r partage Q en deux classes C et C coupure dans Q ) : ce sont les nombres irrationnels Pythagore et les nombres incommensurables : continu connexe N et Q , dont l'ordre prolonge celui de Q fondamental . Et si la correspondance nombre point Dedekind utilisa en fait la notation R rationnels . C'est Peano qui proposa Q , du mot italien quoziente = quotient. L'appellation corps pour un corps de nombres, comme R pour celui des rationnels. Le concept formel de corps Weber en 1893. Le terme real Cantor (1883). La notation Z pour l'ensemble des entiers relatifs, Z Zahl nombre Weierstrass : Cantor : Un théorème célèbre de Dedekind : Ce théorème fondamental est appliqué systématiquement dans l'étude des suites ou des séries : dans l'usage des critères de convergence qui se ramènent à l'étude d'une suite. test ) de Dedekind du Bois-Reymond Si la série S a n S( b n+1 -b n est absolument convergente S a n b n est convergente.

9. Richard Dedekind
   Richard Dedekind. 18311916.  
   http://dbeveridge.web.wesleyan.edu/wescourses/2001f/chem160/01/Who's Who/richard
   
   Extractions: Home Science Humanities Cantor ... Mendel 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. 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

10. Richard Dedekind
    Richard Dedekind. Julius Wilhelm Richard Dedekind (Ríjen 6, 1831 Únor 12, 1916) byl Nemec matematik a Ernst Eduard Kummer s  
    http://wikipedia.infostar.cz/r/ri/richard_dedekind.html
    
    Extractions: švodn­ str¡nka Tato str¡nka v origin¡le Julius Wilhelm Richard Dedekind Ř­jen 6 šnor 12 ) byl Němec matematik a Ernst Eduard Kummer ' s nejbližš­ n¡sledovn­k v aritmetika Dedekind byl narozen½ v Braunschweig Brunswick ) nejmladÅ¡­ čtyř dět­ Juliuse Levin Ulrich Dedekind. On později odm­tl jeho křestn­ jm©na Julius Wilhelm. On žil s jeho svobodnou sestrou Julia until ji smrt v , on s¡m tak© nikdy se vzal. V , on přihl¡Å¡en½ Collegium Carolinum v Brunswicku a v se znalostmi pevn© l¡tky v matematice on přihl¡Å¡en½ Univerzita G � ttingen V G � ttingen Gauss učil matematiku větÅ¡inou u z¡kladn­ ºrovně. V oddělen­ch matematiky a fyziky, Dedekind učen½ okolo teorie č­sel . Mezi Dedekind je hlavn­ profesoři byli Moritz Abraham z¡Ä kdo v tom čas psal mnoho prac­ na teorii č­sel. On vyroben½ jeho kr¡tk¡ disertačn­ pr¡ce ř­dil Gauss � ber umř­t Theorie der Eulerschen Integrale Na teorii Eulerian integrals ). Jeho teze byla zručn¡ a autonomn­, ale to neukazovalo někter©ho speci¡ln­ho talentu kter½ byl viditeln½ na t©měř každ© straně Dedekind m¡ pozdnějÅ¡­ pr¡ce. Přesto, Gauss muset jistě viděli Dedekind je d¡rek pro matematiku. Dedekind přj­mal jeho doktor¡t v a on byl Gauss je posledn­ student.

11. Richard Julius Wilhelm Dedekind
    RICHARD JULIUS WILHELM DEDEKIND. (1831 1916). Richard Dedekind was a German mathematicianwho was born in 1831 in Brunswick. His father was a professor of law.  
    http://www.engr.iupui.edu/~orr/webpages/cpt120/mathbios/rdedek.htm
    
    Extractions: RICHARD JULIUS WILHELM DEDEKIND Richard Dedekind was a German mathematician who was born in 1831 in Brunswick. His father was a professor of law. Dedekind studied at Gottingen where he later taught. He also taught at the Zurich polytechnic for a few years. He then became the professor of mathematics in the technical school of Brunswick where he taught for half a century. He was a bachelor and he lived with his unmarried sister, Julie, until her death in 1914. Dedekind made many original and important contributions to the theory of algebraic numbers. He died at the age of 85 in 1916. In 1872, he published a book, Continuity and Irrational Numbers , in which he attempted to remove all ambiguities and doubts as to how irrational numbers fitted into the domain of arithmetic. Some items to be considered in this work are as follows (all numbers are shown in base ten arithmetic): A rational number can be expressed in the form of a fraction a/b where a and b are integers. A number which cannot be expressed as a rational fraction is an irrational number. For example, . The class of real numbers is made up of rational and irrational numbers. A rational number can be expressed in decimal notation and where the decimal does not terminate (end in zeroes), it repeats itself periodically. For example, 10/13 =.769230.769230.769230 and 14/11 = 1.27.27.27. An irrational number when expressed as a decimal does not terminate or exhibit the periods. It is impossible to exactly express numbers such as

12. Dedekind, Richard
    study of CONTINUITY and definition of the real numbers in terms of dedekind cuts , the nature of number and mathematical induction, definition of finite and infinite sets; algebraic number fields, concept of RINGS.  
    http://euler.ciens.ucv.ve/English/mathematics/dedekind.html

13. Richard Dedekind --  Encyclopædia Britannica
    Cite this article. richard dedekind. born Oct. 6, 1831, Braunschweig, duchy of MLA style " richard dedekind." Encyclopædia Britannica. 2004. Encyclopædia Britannica Premium Service  
    http://www.britannica.com/eb/article?eu=30201

14. Dedekind, Julius Wilhelm Richard. The Columbia Encyclopedia, Sixth Edition. 2001
    The Columbia Encyclopedia, Sixth Edition. 2001. dedekind, Julius Wilhelm richard. 18311916, German mathematician. dedekind studied at Göttingen under the German mathematician  
    http://www.bartleby.com/65/de/Dedekind.html
    
    Extractions: Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy 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 Respectfully Quoted 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. Dedekind, Julius Wilhelm Richard

15. Dedekind
    Julius Wihelm richard dedekind. Born 6 richard dedekind s father wasa professor at the Collegium Carolinum in Brunswick. His mother  
    http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Dedekind.html
    
    Extractions: Richard Dedekind 's father was a professor at the Collegium Carolinum in Brunswick. His mother was the daughter of a professor who also worked at the Collegium Carolinum. Richard was the youngest of four children and never married. He was to live with one of his sisters, who also remained unmarried, for most of his adult life. He attended school in Brunswick from the age of seven and at this stage mathematics was not his main interest. The school, Martino-Catharineum, was a good one and Dedekind studied science, in particular physics and chemistry. However, physics became less than satisfactory to Dedekind with what he considered an imprecise logical structure and his attention turned towards mathematics. Listing and Wilhelm Weber . The two departments combined to initiate a seminar which Dedekind joined from its beginning. There he learnt number theory which was the most advanced material he studied. His other courses covered material such as the differential and integral calculus, of which he already had a good understanding. The first course to really make Dedekind enthusiastic was, rather surprisingly, a course on experimental physics taught by

16. Dedekind
    Biography of richard dedekind (18311916) Julius Wihelm richard dedekind. Born 6 Oct 1831 in Braunschweig, duchy of Braunschweig (now Germany richard dedekind's father was a professor at the  
    http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Dedekind.html
    
    Extractions: Richard Dedekind 's father was a professor at the Collegium Carolinum in Brunswick. His mother was the daughter of a professor who also worked at the Collegium Carolinum. Richard was the youngest of four children and never married. He was to live with one of his sisters, who also remained unmarried, for most of his adult life. He attended school in Brunswick from the age of seven and at this stage mathematics was not his main interest. The school, Martino-Catharineum, was a good one and Dedekind studied science, in particular physics and chemistry. However, physics became less than satisfactory to Dedekind with what he considered an imprecise logical structure and his attention turned towards mathematics. Listing and Wilhelm Weber . The two departments combined to initiate a seminar which Dedekind joined from its beginning. There he learnt number theory which was the most advanced material he studied. His other courses covered material such as the differential and integral calculus, of which he already had a good understanding. The first course to really make Dedekind enthusiastic was, rather surprisingly, a course on experimental physics taught by

17. Books By Richard Dedekind At Walmart.com - Every Day Low Prices
    Find books written by richard dedekind. Select from 1000's of books at Walmart.com, we have a great selection of highquality merchandise, friendly service and, of course, Every Day Low Prices.  
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18. Escuela De Matemáticas - UCV
    Translate this page dedekind, richard. richard dedekind, nacido en Oct. 6, 1831, muertoen Feb. 12, 1916, fue un matemático alemán conocido por su  
    http://euler.ciens.ucv.ve/matematicos/dedekind.html

19. Dedekind, Richard
    dedekind, richard (183916). dedekind grew up in Germany and in1850 entered the University of Gottingen. There he studied with  
    http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib
    
    Extractions: Dedekind, Richard (183916) Dedekind grew up in Germany and in 1850 entered the University of Gottingen. There he studied with Bernhard Riemann and Carl Gauss He began lecturing in probability, and then later began his serious study of number theory. Dedekind became a professor at Brunswick Polytechnic and stayed there for many years. Like Gauss, Dedekind preferred to study the theoretical aspects of number theory. His work on irrational numbers gave the subject a logical foundation. In his later years, Dedekind met and worked with Cantor on the concept of the infinite

20. PlanetMath Dedekind Cuts
    The purpose of dedekind cuts is to provide a sound logical foundation for the real number system. dedekind's Press, Oxford, 1969. 2. dedekind, richard. Essays on the Theory of Numbers  
    http://www.planetmath.org/encyclopedia/DedekindCuts.html

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