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	Richard Dedekind - Wikipedia, the free encyclopedia
		Julius Wilhelm Richard Dedekind (October 6, 1831 – February 12, 1916) 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.
		Dedekind received his doctorate in 1852 and he was Gauss's last student.
	en.wikipedia.org /wiki/Richard_Dedekind (951 words)

	AllRefer.com - Julius Wilhelm Richard Dedekind (Mathematics, Biography) - Encyclopedia
		Julius Wilhelm Richard Dedekind[yOOl´yoos vil´helm rikh´Art dA´dukint] Pronunciation Key, 1831–1916, German mathematician.
		Dedekind studied at GOttingen under the German mathematician Carl Gauss and in 1852 received his doctorate there for a thesis on Eulerian integrals.
		Dedekind led the effort to formulate rigorous definitions of basic mathematical concepts.
	reference.allrefer.com /encyclopedia/D/Dedekind.html (222 words)

	Richard Dedekind : Dedekind
		Julius Wilhelm Richard Dedekind (October 6, 1831 - February 12, 1916) was a German mathematician and Kummer[?]'s closest follower in arithmetic.
		Dedekind was born in Brunswick (German Braunschweig) the youngest of four children of Julius Levin Ulrich Dedekind.
		Dedekind received his doctorate in 1852 and he was the last student of Gauss.
	www.fastload.org /de/Dedekind.html (854 words)

	Dedekind (Site not responding. Last check: 2007-10-20)
		Richard Dedekind's father was a professor at the Collegium Carolinum in Brunswick.
		Dedekind and Dirichlet soon became close friends and the relationship was in many ways the making of Dedekind, whose mathematical interests took a new lease of life with the discussions between the two.
		Dedekind's work was quickly accepted, partly because of the clarity with which he presented his ideas and partly since Heinrich Weber lectured to Hilbert on these topics at the University of Königsberg.
	www-history.mcs.st-and.ac.uk /~history/Mathematicians/Dedekind.html (1962 words)

	Richard Dedekind -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-20)
		Dedekind was born in (A city in central Germany) Braunschweig (Brunswick) the youngest of four children of Julius Levin Ulrich Dedekind.
		Dedekind began teaching as Privatdozent in Göttingen and he gave courses on (A measure of how likely it is that some event will occur) probability and (The pure mathematics of points and lines and curves and surfaces) geometry.
		In the year 1874 he met (The official of a synagogue who conducts the liturgical part of the service and sings or chants the prayers intended to be performed as solos) Cantor in the Swiss city (A popular resort town in the Alps in west central Switzerland) Interlaken.
	www.absoluteastronomy.com /encyclopedia/R/Ri/Richard_Dedekind.htm (1315 words)

	DEDEKIND
		Richard Dedekind was born on October 6, 1831, in Brunswick, Germany, the birthplace of Gauss.
		Dedekind was the youngest of four children of a law professor.
		Dedekind continued his studies at Göttingen for a few years, and in 1854 he began as a lecturer.
	www.algana.co.uk /FamousNames/D/dedekind.htm (193 words)

	(Julius Wilhelm) Richard Dedekind Biography / Biography of (Julius Wilhelm) Richard Dedekind World of Mathematics ...
		His father, Julius Levin Ulrich Dedekind, was a lawyer and professor at Caroline College in Brunswick and the son of a physician and chemist.
		Dedekind was among the first to recognize the application of Galois groupsin algebra and arithmetic, and in 1857-58 gave a course to two students on Évariste Galois' theory of equations.
		Dedekind was a corresponding member of the Göttingen Academy (1862), the Berlin Academy (1880), and the Paris Académie des Sciences (1910).
	www.bookrags.com /biography-julius-wilhelm-richard-dedekind-wom (1088 words)

	Richard Dedekind (Site not responding. Last check: 2007-10-20)
		[[Image Link]] Julius Wilhelm Richard Dedekind (October 6, 1831 - February 12, 1916) was a German mathematician and Ernst Eduard Kummer's closest follower in arithmetic.
		In 1872 he published his cognitions on his major rigorous redefinition of irrational numbers in terms of Dedekind cut in a paper titled Stetigkeit und irrationale Zahlen (Continuity and irrational numbers).
		Dedekind was among the first mathematicians who had accepted Cantor's work on the theory of infinite sets; other mathematicians didn't yet understand their ideas.
	www.sciencedaily.com /encyclopedia/richard_dedekind (947 words)

	Dedekind, (Julius Wilhelm) Richard (Site not responding. Last check: 2007-10-20)
		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.
		Dedekind was born in Brunswick and studied at Göttingen.
		In 1858 he succeeded in producing a purely arithmetic definition of continuity and an exact formulation of the concept of the irrational number.
	cartage.org.lb /en/themes/Biographies/MainBiographies/D/Dedekind/1.html (152 words)

	Science Timeline
		In 1867, Wilhelm Griesinger published the second edition of his psychiatric textbook in which he said that mental diseases are brain diseases and that the onset of psychosis was experienced as an intrusion of a 'thou' on the 'I,' or ego.
		In 1872, Julius Wilhelm Richard Dedekind, in Stetigkeit und die Irrationalzahlen, maintained that the essence of the continuity of a line consists in the possibility of dividing that by a single point, i.e., an irrational number, e.g., a fraction.
		Dedekind regarded arithmetic as a "natural consequence of the simplest arithmetic act, that of counting" (Dedekind 1872:4).
	www.sciencetimeline.net /1866.htm (4881 words)

	Richard Julius Wilhelm Dedekind
		Richard Dedekind was a German mathematician who was born in 1831 in Brunswick.
		Dedekind made many original and important contributions to the theory of algebraic numbers.
		Dedekind's accomplishment was to define irrational numbers in terms of rationals.
	www.engr.iupui.edu /~orr/webpages/cpt120/mathbios/rdedek.htm (843 words)

	Program Files\Netscape\Communicator\Program\dedekind
		Richard Dedekind was born into the life of research and experimental theory.
		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.
		Dedekind was then qualified as a university teacher and he began teaching at Göttingin giving courses on probability and geometry.
	www.andrews.edu /~calkins/math/biograph/199899/biodedek.htm (1430 words)

	Read about Richard Dedekind at WorldVillage Encyclopedia. Research Richard Dedekind and learn about Richard Dedekind ... (Site not responding. Last check: 2007-10-20)
		Braunschweig (Brunswick) the youngest of four children of Julius Levin Ulrich Dedekind.
		Dedekind began teaching as Privatdozent in Göttingen and he gave courses on
		In 1872 he published his cognitions on his major rigorous redefinition of irrational numbers in terms of Dedekind cut in a paper titled
	encyclopedia.worldvillage.com /s/b/Richard_Dedekind (780 words)

	Dedekind, (Julius Wilhelm) Richard (1831-1916)
		A German mathematician whose most important contribution was the discovery of what became known as the Dedekind cut.
		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.
	www.daviddarling.info /encyclopedia/D/Dedekind.html (149 words)

	Richard Dedekind: an Algebraic Foundation for Calculus Example Essays.com - Over 101,000 essays, term papers and book ...
		Richard Dedekind: An Algebraic Foundation for Calculus In 1858, while giving lectures on differential calculus, mathematician Richard Dedekind noted the lack of a truly scientific foundation of the arithmetic with which he taught his class.
		Julius Wilhelm Richard Dedekind was born October 6, 1831 in Brunswick, in what is today the country of Germany.
		Dedekind attended school in Brunswick at the Gymnasium Martino-Catharineum from the age of seven.
	www.exampleessays.com /viewpaper/32017.html (291 words)

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		Because of the lack of mathematical knowledge he was still studying elliptic functions and
		Dedekind cut (German: Schnitt), a new idea to represent the real numbers as a divisions of the
		Heinrich Martin Weber he published an article where they applied Dedekind's theory of ideals to the theory of Riemann surfaces.
	en-cyclopedia.com /wiki/Julius_Wilhelm_Richard_Dedekind (779 words)

	Seznam matematikov - Wikipedija, prosta enciklopedija
		Rudolf Julius Emmanuel Clausius (Nemčija, 1822 - 1888)
		Julius Wilhelm Richard Dedekind (Nemčija, 1831 - 1916)
		Friedrich Wilhelm Karl Ernst Schröder (Nemčija, 1841 - 1902)
	sl.wikipedia.org /wiki/Seznam_matematikov (711 words)

	Dedekind, Richard -- Encyclopædia Britannica
		In work originating from discussions on the foundations of the infinitesimal and derivative calculus by Baron Augustin-Louis Cauchy and Karl Weierstrauss, Cantor and Richard Dedekind developed methods of dealing with the large, and in...
		Richard Burbage was known as the first performer to play Shakespeare's Richard III, Othello, Romeo, Hamlet, Henry V, and Lear.
		The English writer and librarian Richard Garnett was the head of the Garnett family, which exerted a formative influence on the development of modern British writing.
	www.britannica.com /eb/article-9029718 (836 words)

	Additional Reading (from Dedekind, Richard) -- Encyclopædia Britannica
		Laid out in 1748 by Nicholas Scull and William Parsons on land owned by Thomas and Richard Penn (sons of William Penn, Pennsylvania's founder), it was built around Penn Common, a large open square, and named for the hometown of the Penn...
		The American author Richard Wright pictured with brutal realism what it meant to be fl in a white society.
		It was inventor Richard Trevithick who realized that a much smaller, lighter, and more powerful engine could be made by using high-pressure steam and allowing it to expand within the cylinder.
	www.britannica.com /eb/article-1769?tocId=1769 (797 words)

	February 12 - Today in Science History (Site not responding. Last check: 2007-10-20)
		American physicist and joint winner, with Richard P. Feynman and Tomonaga Shin'ichiro, of the Nobel Prize for Physics in 1965 for his work in formulating quantum electrodynamics and thus reconciling quantum mechanics with Albert Einstein's special theory of relativity.
		(Julius Wilhelm) Richard Dedekind was a 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.
	www.todayinsci.com /2/2_12.htm (2143 words)

	Search Results for Gottingen (Site not responding. Last check: 2007-10-20)
		Max Planck came from an academic family, his father Julius Wilhelm Planck being Professor of Constitutional Law in the University of Kiel at the time of his birth, and both his grandfather and great-grandfather had been professors of theology at Gottingen.
		Dedekind was then qualified as a university teacher and he began teaching at Gottingen giving courses on probability and geometry.
		Around this time Dedekind studied the work of Galois and he was the first to lecture on Galois theory when he taught a course on the topic at Gottingen during this period.
	www-groups.dcs.st-and.ac.uk /history/Search/historysearch.cgi?SUGGESTION=Gottingen&CONTEXT=1 (16092 words)

	Richard Dedekind explained (Site not responding. Last check: 2007-10-20)
		right Julius Wilhelm Richard Dedekind (October 6, 1831 - February 12, 1916) was a German mathematician and Ernst Eduard Kummer's closest follower in arithmetic.
		(''What are numbers and what should they be?'') where he defined an infinite set in his own way, see Dedekind infinite.
		Dedekind, Julius Wilhelm Richard Dedekind, Julius Wilhelm Richard Dedekind, Richard Dedekind, Richard Dedekind, Richard Dedekind, Richard es:Julius Wilhelm Richard Dedekind fr:Richard Dedekind nl:Julius Wilhelm Richard Dedekind ja:リヒャルト・デーデキント pl:Julius Wilhelm Richard Dedekind pt:Richard Dedekind sl:Julius Wilhelm Richard Dedekind he:ריכרד דדקינד
	www.wordspider.net /ri/richard-dedekind.html (1188 words)

	Dedekind, Julius Wilhelm Richard on Encyclopedia.com (Site not responding. Last check: 2007-10-20)
		Dedekind studied at Göttingen under the German mathematician Carl Gauss and in 1852 received his doctorate there for a thesis on Eulerian integrals.
		In 1858 he went to Zürich as a professor; in 1862 he returned to his home town Brunswick to become a professor there.
		Pictures and Maps for: Dedekind, Julius Wilhelm Richard
	www.encyclopedia.com /html/d/dedekind.asp (127 words)

	"D" Famous People
		Dedekind, (Julius Wilhelm) Richard (1831-1916) Mathematician, born in Braunschweig, NC Germany.
		Dehmel, Richard (1863-1920) Poet, born in Brandenburg, EC Germany.
		Dilthey, Wilhelm (1833-1911) Philosopher, born in Biebrich, WC Germany.
	www.jonathanselby.com /Dfam (13540 words)

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		Ackermann +------------------------------------------------------------ Ackermann Ackermann Wilhelm (1896-1962) +------------------------------------------------------------
		Blaschke +------------------------------------------------------------ Blaschke Blaschke Wilhelm (1885-1962) +------------------------------------------------------------
		Dedekind +------------------------------------------------------------ Dedekind Dedekind Richard (1831-1916) +------------------------------------------------------------
	www.math.harvard.edu /~knill/sofia/data/mathematicians.txt (6427 words)

	Search Results for Weierstrass (Site not responding. Last check: 2007-10-20)
		Wilhelm Weierstrass was a well educated man who had a broad knowledge of the arts and of the sciences.
		Wilhelm Weierstrass became a tax inspector when Karl was eight years old.
		Not only Dedekind, Heine and Cantor's mathematics was unacceptable to this way of thinking, and Weierstrass also came to feel that Kronecker was trying to convince the next generation of mathematicians that Weierstrass's work on analysis was of no value.
	www-groups.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=Weierstrass&CONTEXT=1 (7133 words)

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