41. Theory Of Algebraic Integers - Cambridge University Press Theory of Algebraic Integers. Series Cambridge Mathematical Library. richard dedekind.Translated by John Stillwell. Introduction by John Stillwell http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=0521565189

42. AIP International Catalog Of Sources dedekind, richard, 18311916. Subjects. Dynamics. Electrodynamics. Mechanics,Analytic. Browse Catalog. by author. dedekind, richard, 1831-1916. by title http://www.aip.org/history/catalog/2581.html

If you are not immediately redirected, please click here My List - Help Browse Archival Resources Archival Finding Aids Books Photos Browse FAQs Past Searches History Home Search: Author Subject Title Journal/Newspaper Title Series Computer File (Software) Title Video Title Refine Search AIP Niels Bohr Library Item Information Holdings More by this author Dedekind, Richard, 1831-1916. Subjects Dynamics. Electrodynamics. Mechanics, Analytic. Browse Catalog by author: Dedekind, Richard, 1831-1916. by title: Papers.... MARC Display Papers. by Dedekind, Richard, 1831-1916. Description: 155 folders. 376 letters. Owning Repository: Country of Repository: Germany Biography/History: Scope of Material: Includes manuscripts (130 folders), a few of them on dynamics, electrodynamics, analytical mechanics. Also papers by others (25 folders): K. Gauss, B. Riemann, Lejeune-Dirichlet; and 98 letters from Dedekind and 288 to him. Correspondents: Paul Epstein, Hermann Minkowski, H. Weber, E. Zeller, E. Beltrami, Goeppert, E. Heine, Bjerknes, Felix Klein, W. Lejeune-Dirichlet, C. Neumann, W. Weber, J. Zenneck, among others. Notes: In German.

43. Dedekind, (Julius Wilhelm) Richard dedekind, (Julius Wilhelm) richard (18311916) dedekind was born in Brunswickand studied at Göttingen. He was professor at the Technische Hochschule in http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/D/Dedekind/1.htm

Dedekind, (Julius Wilhelm) Richard German mathematician who made contributions to number theory. In 1872 he introduced the Dedekind cut (which divides a line of infinite length representing all real numbers) to define irrational numbers in terms of pairs of sequences of rational numbers. In 1858 he succeeded in producing a purely arithmetic definition of continuity and an exact formulation of the concept of the irrational number. This led to the Dedekind cut, explained in his book Stetigkeit und irrationale Zahlen 1872. In Was sind und was sollen die Zahlen? 1888 he devised axioms that formally and exactly represented the logical concept of whole numbers. The factorization of algebraic numbers and the theory of the ideal, which he described 1879-94, was fundamental to modern algebra; and he introduced the concept of dual groups, a precursor of lattice theory.

44. The Mathematics Genealogy Project - J. W. Richard Dedekind JW richard (Julius Wilhelm) dedekind Biography. Ph.D. GeorgAugust-UniversitätGöttingen 1852. Germany. Dissertation Über die Theorie der Eulerschen http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=18233

45. Julius Wilhelm Richard Dedekind dedekind, Julius Wilhelm richard , 1831–1916, German mathematician. dedekind studiedat Göttingen under the German mathematician Carl Gauss and in 1852 http://www.factmonster.com/ce6/people/A0814946.html

Home U.S. People Word Wise ... Homework Center Fact Monster Favorites 2006 TFK Almanac Quiz: Charlie and the Chocolate Factory SpongeBob Lemony Snicket ... Fantasy Books Reference Desk Atlas Almanacs Dictionary Encyclopedia ... Encyclopedia Dedekind, Julius Wilhelm Richard [y OO u kint] Pronunciation Key Dedekind, Julius Wilhelm Richard ring systems. The Columbia Electronic Encyclopedia, Page Tools: Cite Print See more Encyclopedia articles on: Mathematics: Biographies AD AD AD ADS Business Cards Link to Fact Monster Add Fact Monster search ... Privacy Brought to you by: Information Please

46. Dedekind J.W. Richard From FOLDOC Recommended Reading richard dedekind, Essays on the Theory of Numbers, tr.by Wooster W. Beman (Dover, 1963) and richard dedekind, Theory of Algebraic http://www.swif.uniba.it/lei/foldop/foldoc.cgi?Dedekind J.W. Richard

47. AllRefer.com - Julius Wilhelm Richard Dedekind (Mathematics, Biography) - Encycl AllRefer.com reference and encyclopedia resource provides complete informationon Julius Wilhelm richard dedekind, Mathematics, Biographies. http://reference.allrefer.com/encyclopedia/D/Dedekind.html

AllRefer Channels :: Health Yellow Pages Reference Weather August 31, 2005 Medicine People Places History ... Maps Web AllRefer.com You are here : AllRefer.com Reference Encyclopedia Mathematics, Biographies ... Julius Wilhelm Richard Dedekind By Alphabet : Encyclopedia A-Z D Julius Wilhelm Richard Dedekind, Mathematics, Biographies Related Category: Mathematics, Biographies Julius Wilhelm Richard Dedekind [y OO A u kint] Pronunciation Key ring systems. Topics that might be of interest to you: mathematics ring, mathematical system Related Categories: People Science and Technology Science and Technology Mathematics ... Biographies More articles from AllRefer Reference on Julius Wilhelm Richard Dedekind 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 ... Link to AllRefer.com

48. Mathematics List Part 3 dedekind, richard. Essays on the Theory of Numbers. 1. Continuity and IrrationalNumbers. 2. The Nature and Meaning of Numbers. 4th. printing. 115 pg. http://www.significantbooks.com/mthl3.htm

Go back to Catalog Lists To inquire about any of these items contact us by e-mail at: inquire@significantbooks.com Start of Math page 3. Mathematics List Page 3. Go To Math page Authors, Ch. thru Et. Charlap, Leonard S. Bieberbach Groups and Flat Manifolds. 242 pp. Springer (1986) (Softcover) Very good condition. ( From the jacket: This book is an introduction to the theory of flat manifolds and their fundamental groups. ... ) MATH12860 $45.00 Chase, Stephen U.; Moss E. Sweedler. Hopf Algebras and Galois Theory. 133 pp. Springer 1969 ( 1969 ) ( Softcover ) Good condition. (Lecture Notes in Mathematics No. 97 ) MATH13533 $40.00 Chateau, Paul Du. The Cauchy-Goursat Probllem. 60 pp. Memoirs American Mathematical Society. #118 (1972). (Softcover) Very good condition. MATH10149 $15.00 Global Analysis. 2 Vol. 367, 307 pp. American Mathematical Society. 1970 (1970) ( Hardback) Very good condition. (Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society Held at the University of California Berkeley, California July 1 - 26, 1968) (Symposia Vol. XIV, XV. ) MATH12861 $125.00 Chevalley, Claude.

49. PlanetMath: Dedekind Cuts 1 Courant, richard and Robbins, Herbert. What is Mathematics? pp. 6872 OxfordUniversity Press, Oxford, 1969; 2 dedekind, richard. http://planetmath.org/encyclopedia/DedekindCuts.html

(more info) Math for the people, by the people. Encyclopedia Requests Forums Docs ... Random Login create new user name: pass: forget your password? Main Menu sections Encyclop¦dia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About Dedekind cuts (Definition) The purpose of Dedekind cuts is to provide a sound logical foundation for the real number system. Dedekind's motivation behind this project is to notice that a real number , intuitively, is completely determined by the rationals strictly smaller than and those strictly larger than . Concerning the completeness or continuity of the real line , Dedekind notes in [ ] that If all points of the straight line fall into two classes such that every point of the first class lies to the left of every point of the second class, then there exists one and only one point which produces this division of all points into two classes, this severing of the straight line into two portions. Dedekind defines a point to produce the division of the real line if this point is either the least or greatest element of either one of the classes mentioned above. He further notes that the completeness

50. Dedekind, (Julius Wilhelm) Richard (1831-1916) dedekind, (Julius Wilhelm) richard (18311916) dedekind s brilliant idea wasto represent the real numbers by such divisions of the rationals. http://www.daviddarling.info/encyclopedia/D/Dedekind.html

Return to The Worlds of David Darling INDEX LATEST NEWS ARCHIVE ... Z entire Web this site Dedekind, (Julius Wilhelm) Richard (1831-1916) A German mathematician whose most important contribution was the discovery of what became known as the Dedekind cut . He realized that every real number r divides the rational numbers into two subsets: those greater than r and those less than r . Dedekind's brilliant idea was to represent the real numbers by such divisions of the rationals. He also provided important support for Georg Cantor 's set theory, which was highly controversial at the time. BACK TO TOP var site="s13space1234"

51. 10/6 Richard Dedekind Today is Julius Wihelm richard dedekind s Birthday! Happy Birthday dedekind!Born October 6, 1831 in Braunschweig, now Germany. Died February 12, 1916 http://curvebank.calstatela.edu/birthdayindex/oct/oct6dedekind/oct6dedekind.htm

Close Window Today is Julius Wihelm Richard Dedekind's Birthday! Happy Birthday Dedekind! Born: October 6, 1831 in Braunschweig, now Germany Died: February 12, 1916 in Braunschweig, now Germany

52. Bibliography dedekind, richard, 18311916, Gesammelte mathematische Werke / hrsg. von RobertFricke, Emmy Noether und Oystein Ore, Braunschweig, F. Vieweg, 1930-1932 http://www.library.cornell.edu/math/bibliography/display.cgi?start=D&

53. Lexikon Richard Dedekind richard dedekind aus der freien Enzyklopädie http://lexikon.freenet.de/Richard_Dedekind

E-Mail Mitglieder Community Suche ... Hilfe document.write(''); im Web in freenet.de in Shopping Branchen Lexikon Artikel nach Themen alphabetischer Index Artikel in Kategorien Weitere Themen Sexy, sexier, Longoria: Die erotischsten TV-Stars aller Zeiten Whitney widerlich: Ab ins Klo mit der ekligen TV-Show IAA: Fords spekta- kul¤res viert¼riges Coup© Iosis Werden Sie zum Star, der HotVote ist Ihr sexy Start ... Firefox aufmotzen: Wir pr¤sentieren vier Erweiterungen Sie sind hier: Startseite Lexikon Richard Dedekind Richard Dedekind Richard Dedekind. Julius Wilhelm Richard Dedekind 6. Oktober in Braunschweig 12. Februar in Braunschweig) war ein deutscher Mathematiker Benannt nach Richard Dedekind sind die dedekindschen Schnitte , die Dedekindringe , die dedekindsche η-Funktion in der Theorie der Modulformen , die dedekindsche ζ-Funktion eines algebraischen Zahlk¶rpers sowie der dedekindsche Komplement¤rmodul Publikation von Richard Dedekind im Jahre 1888 / Was sind und was sollen Zahlen? "Die Zahlen sind freie Sch¶pfungen des menschlichen Geistes, sie dienen als Mittel, um die Verschiedenheit der Dinge leichter und sch¤rfer aufzufassen. Durch den rein logischen Aufbau der Zahlenwissenschaft und durch das in ihr gewonnene stetige Zahlen-Reich sind wir erst in den Stand gesetzt, unsere Vorstellungen von Raum und Zeit genau zu untersuchen, indem wir dieselben auf dieses in unserem Geiste geschaffene Zahlenreich beziehen." Bearbeiten Weblinks Kurzbiografie (engl.)

54. Stephen Wolfram: A New Kind Of Science -- Relevant Books dedekind, richard Essays on the Theory of Numbers The Open Court PublishingCompany, 1909. dedekind, richard Theory Of Algebraic Integers http://www.wolframscience.com/reference/books/d.html

WOLFRAM'S LIBRARY A B C D E F G H ... W X Y Z D da Vinci, Leonardo Leonardo da Vinci, Nature Studies from the Royal Library at Windsor Castle Royal Academy of Arts/Johnson Reprint Corp., 1981. [ISBN 0295960647 Stochastic Quantization World Scientific, 1988. [ISBN 9971502984 Darwin, Charles On the Origin of Species. (A Facsimile of the First Edition) Harvard University Press, 1964. [ISBN 0674637526 Darwin, Charles Selections. The Collected Papers of Charles Darwin University of Chicago Press, 1980. [ISBN 0226136582 Darwin, Charles The autobiography of Charles Darwin, 1809-1882. With original omissions restored Darwin, Charles The Expression of the Emotions in Man and Animals Oxford University Press, 1998. [ISBN 0195112717 Darwin, G.H. Scientific Papers (5 volumes) Cambridge University Press, 1910 Dasarathy, Belur V., Editor Nearest Neighbor Pattern Classification Techniques IEEE, 1990. [ISBN 0818689307 Dauben, Joseph Warren Georg Cantor: His Mathematics and Philosophy of the Infinite Princeton University Press, 1990. [ISBN 0691085838 David, F.N.

55. CiteULike: Richard Dedekind: Information From Answers.com richard dedekind Information From Answers.com. Online Article A_Olympia s tagsfor this article. dedekind. Everyone s tags for this article. dedekind http://www.citeulike.org/user/A_Olympia/article/266092

Cite U Like Register Log in FAQ Article title Author surname Abstract Journal name Tag Navigation Home Log in Register News and Status ... Discussion list Journals Browse current issues Groups View group Experimental Features Import from BibTeX Richard Dedekind: Information From Answers.com Online Article URL: http://www.answers.com/main/ntquery?s=Ded... Note: You or your institution must have access rights to this article. CiteULike will not help you view an online article which you aren't authorized to view. A_Olympia's tags for this article dedekind Everyone's tags for this article dedekind Who has this article in their libraries? Note: You may cite this page as: http://www.citeulike.org/user/A_Olympia/article/266092 EndNote BibTeX A_Olympia's tags All tags in A_Olympia's library Filter: a absenteeism abstract academic ... zermelo

56. Allmath.com - Math Site For Kids! Home Of Flashcards, Math dedekind, (Julius Wilhelm) richard. daydekind. (18311916). Mathematician,born in Braunschweig, Germany. He studied at Göttingen, where he wrote his http://www.allmath.com/biosearch.php?QMeth=ID&ID=9240

57. Richard Dedekind, 1831-1916 richard dedekind, 18311916. What are numbers and what are they for? (1888).PREVIOUS UP NEXT. This file is dedekind.html Maintained by M.Kerber, http://www.cs.bham.ac.uk/~mmk/talks/99-beyond-incompleteness/Dedekind.html

PREVIOUS UP NEXT Richard Dedekind, 1831-1916 What are numbers and what are they for? (1888) PREVIOUS UP NEXT This file is: Dedekind.html Maintained by M.Kerber , e-mail: M.Kerber@cs.bham.ac.uk Last update 10.12.1999 Go to the School of Computer Science Home Page

58. Theory Of Algebraic Integers - Richard Dedekind The invention of ideals by dedekind in the 1870s was well ahead of its time, andproved to be the genesis of what today we would call algebraic number http://www.libreriauniversitaria.it/BUS/0521565189/Theory_of_Algebraic_Integers.

PowerSearch: Libri Italiani English Books DVD Theory of Algebraic Integers Richard Dedekind Clicca per ingrandire Prezzo Disponibilità Normalmente disponibile in 6/8 giorni lavorativi Metti nel carrello (Puoi sempre toglierlo dopo) Dettagli del libro Titolo: Theory of Algebraic Integers Autore: Richard Dedekind Traduttore: John Stillwell Editore: Cambridge University Press Data di Pubblicazione: January 2004 ISBN: Reparto: General Descrizione The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in installments in the Bulletin des sciences mathematiques in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome. The memoir gives a candid account of Dedekind's development of an elegant theory as well as providing blow by blow comments as he wrestles with the many difficulties encountered en-route.

59. Richard Dedekind - Www.libreriauniversitaria.it Translate this page Autore richard dedekind Cambridge University Press, January 2004 Autorerichard dedekind Dover Publications, June 1963 http://www.libreriauniversitaria.it/goto/author_Richard Dedekind/shelf_BUS/Richa

PowerSearch: Libri Italiani English Books DVD Risultati della ricerca Libri in Inglese Nuova ricerca Theory of Algebraic Integers Autore: Richard Dedekind Cambridge University Press, January 2004 Essays on the Theory of Numbers Autore: Richard Dedekind Dover Publications, June 1963

60. Proof Attributed To Richard Dedekind proof attributed to richard dedekind. This proof of the irrationality of sqrt(2) -uses induction. The inductive proposition to prove is for all positive http://www.crme.soton.ac.uk/research/proof/dedekind/

Irrationality of sqrt(2) proof attributed to Richard Dedekind This proof of the irrationality of sqrt(2) - - uses induction. The inductive proposition to prove is: for all positive integers n, nsqrt(2) is not an integer. As a result of this proposition, sqrt(2) cannot be a rational number, for if sqrt(2) = p/q with p, q positive then qsqrt(2) is an integer. The essential step in the induction is the following fact if n is a positive integer such that nsqrt(2) is an integer, then m = nsqrt(2)-n is a positive integer smaller than n, and msqrt(2) is also an integer. Back to CRiME proof project Back to CRiME research projects Back to CRiME Home Page

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