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Topic: David Hilbert

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	David Hilbert
		David Hilbert was born in Koenigsberg, East Prussia in 1862 and received his doctorate from his home town university in 1885.
		Hilbert's axioms could be proved as theorems from Moore's and conversely, Moore's axioms could be proved as theorems from Hilbert's.
		David Hilbert, Mathematical Problems, Paris, 1900, Translation by Mary Winston published in the Bulletin of the American Mathematical Society volume 8 (1902), pp 437-479.
	www.sonoma.edu /Math/faculty/falbo/hilbert.html (1070 words)

	Mathematical Problems of David Hilbert (Site not responding. Last check: 2007-11-07)
		Hilbert's address of 1900 to the International Congress of Mathematicians in Paris is perhaps the most influential speech ever given to mathematicians, given by a mathematician, or given about mathematics.
		Hilbert's address was more than a collection of problems.
		Hilbert's original German text Mathematische Probleme is located at http://www.mathematik.uni-bielefeld.de/~kersten/hilbert/rede.html.
	aleph0.clarku.edu /~djoyce/hilbert (363 words)

	Hilbert's Program (Stanford Encyclopedia of Philosophy)
		Hilbert never gave a general account of which operations and methods of proof are acceptable from the finitist standpoint, but only examples of operations and methods of inference in contentual finitary number theory which he accepted as finitary.
		Although Hilbert's first proposals focused exclusively on consistency, there is a noticeable development in Hilbert's thinking in the direction of a general reductivist project of a sort quite common in the philosophy of science at the time (as was pointed out by Giaquinto 1983).
		Hilbert, David, 1926, "Über das Unendliche", Mathematische Annalen, 95: 161-90.
	plato.stanford.edu /entries/hilbert-program (7524 words)

	David Hilbert (Site not responding. Last check: 2007-11-07)
		David Hilbert (January 23, 1862, Königsberg, East Prussia – February 14, 1943, Göttingen, Germany) was a German mathematician, recognized as one of the most influential and universal mathematicians of the; 19th and early 20th centuries.
		Hilbert first enumerates the undefined concepts: point, line, plane, lying on (a relation between points and planes), betweenness, congruence of pairs of points, and congruence of angles.
		Hilbert did not work in the central areas of analytic number theory, but his name has become known for the Hilbert-Pólya conjecture, for reasons that are anecdotal.
	david-hilbert.zdnet.co.za /zdnet/David_Hilbert (3102 words)

	David Hilbert: Tutte le informazioni su David Hilbert su Encyclopedia.it (Site not responding. Last check: 2007-11-07)
		David Hilbert, nato il 23 gennaio 1862 a Königsberg, Prussia (l'odierna Kaliningrad, Russia) e morto il 14 febbraio 1943 a Göttingen, Germania, è stato uno dei più eminenti matematici a cavallo tra il XIX e il XX secolo.
		Il lavoro Grundlagen der Geometrie (trad.: Fondamenti di Geometria) pubblicato da Hilbert nel 1899 sostituisce agli assiomi di Euclide un insieme formale, composto di 21 assiomi, che evita le contraddizioni derivanti da quello di Euclide.
		L'articolo di Hilbert uscì il 6 dicembre senza le equazioni, quello di Einstein il 2.
	www.encyclopedia.it /d/da/david_hilbert.html (1046 words)

	Encyclopedia :: encyclopedia : David Hilbert (Site not responding. Last check: 2007-11-07)
		David Hilbert (January 23, 1862 – February 14, 1943) was a German mathematician born in Wehlau, near Königsberg, Prussia (now Znamensk, near Kaliningrad, Russia) who is recognized as one of the most influential mathematicians of the 19th and early 20th centuries.
		Hilbert's basis theorem solved the principal problem in nineteenth century invariant theory by showing that any form of a given number of variables and of a given degree has a finite, yet complete system of independent rational integral invariants and covariants.
		Hilbert helped provide the basis for the theory of automata which was later built upon by computer scientist Alan Turing.
	www.hallencyclopedia.com /David_Hilbert (884 words)

	Hilbert
		Hilbert stated that "the theory of number fields is an edifice of rare beauty and harmony." One important contribution from this report is his Satz 90, which is a theorem on relative cyclic fields.
		Hilbert defined a p-adic norm as an integer in the quadratic field K that is congruent to the norm of a suitable integer in K modulo any power of p.
		David Hilbert next turned his attention to axiomatics, which is the process of laying down axioms, or laws, for geometry and mathematics in general.
	abyss.uoregon.edu /~js/glossary/hilbert.html (3014 words)

	David Hilbert 20060911
		David Hilbert's Nachlaß is kept in Göttingen university library.
		After them, the primal motivation of Hilbert's foundational studies are not consistency but completeness, more accurately the conviction of "solvability of all mathematical problems" or "kein ignoramibus" proclaimed in his famous 1900 Paris lecture and repeated in his 1930 address in Königsberg.
		Hilbert's philosophy on the foundations of mathematics must be reconsidered under the lights of these newly found historical materials.
	www.shayashi.jp /HistorySociology/HistoryOfFOM/HilbertNotebookProjectHomepage/index.html (3678 words)

	David Hilbert Information
		David Hilbert (January 23, 1862, Wehlau, East Prussia – February 14, 1943, Göttingen, Germany) was a German mathematician, recognized as one of the most influential mathematicians of the 19th and early 20th centuries.
		Hilbert's work had started logic on this course of clarification; the need to understand Gödel's work then led to the development of recursion theory and then mathematical logic as an autonomous discipline in the decade 1930-1940.
		Hilbert space is the most important single idea in the area of functional analysis that grew up around it during the 20th century.
	www.bookrags.com /wiki/David_Hilbert (2792 words)

	DAVID HILBERT
		For many years, Hilbert held the position at the Mathematical Institute at the University of Göttingen that was recognized as the most prestigious mathematical position in Germany, and possibly, in the world.
		Hilbert's scientific activity can be roughly divided into six periods, according to the years of publication of the results: up to 1893 (at Königsberg), algebraic forms; 1894-1899, algebraic number theory; 1899-1903, foundations of geometry; 1904-1909, analysis (Dirichlet's principle, calculus of variations, integral equations, Waring's problem); 1912-1914, theoretical physics; after 1918, foundations of mathematics.
		Leo Corry, "David Hilbert and the Axiomatization of Physics," Archives for History of Exact Sciences 51 (1997) 83-198.
	faculty.evansville.edu /ck6/bstud/hilbert.html (511 words)

	Biographie Hilbert (Site not responding. Last check: 2007-11-07)
		David Hilbert domine les années entourant 1900, à l'instar d'Henri Poincaré.
		Pour tenter de résoudre ce problème, Hilbert publie en deux tomes ses Fondements de la Mathématique (Grundlagen der Mathematik) (1934 et 1939).
		Les travaux de Hilbert portent sur des domaines extrêmement divers des mathématiques.
	mathematiques.ac-bordeaux.fr /viemaths/hist/mthacc/hilbert.htm (358 words)

	Mathematik in Göttingen: David Hilbert
		Hilbert wurde 1895 mit knapp 33 Jahren als Ordinarius nach Göttingen berufen: hier blieb er bis zu seinem Tode in 1943.
		Denkt daran, was Hilbert ausgestanden hat von dieser Gesellschaft." Hilbert überstand diese anfänglichen Schwierigkeiten, und wurde in ungewöhnlichem Maß von seinen Studenten geliebt und geehrt.
		Das zweite Beispiel ist Hilberts Arbeit in den 20er Jahren in der mathematischen Logik.
	www.math.uni-goettingen.de /Personen/Bedeutende_Mathematiker/hilbert.html (688 words)

	Encyclopédie :: encyclopedia : David Hilbert (Site not responding. Last check: 2007-11-07)
		David Hilbert (23 janvier 1862 à Königsberg - 14 février 1943 à Göttingen) était un mathématicien allemand.
		Hilbert a enseigné à l'université de Königsberg, la ville où il est né et où il a fait ses études.
		Hilbert fut également le chef de file des formalistes, mouvement dont le but était l'unification des mathématiques via leur axiomatisation.
	www.encyclopedie.cc /David_Hilbert (235 words)

	David Hilbert - Search Results - MSN Encarta
		Hilbert, David (1862-1943), leading German mathematician and mathematical philosopher of his generation.
		Geometry: David Hilbert, German mathematician, revises Euclidean geometry
		In 1872 German mathematician Felix Klein used a relatively new branch of mathematics called group theory to unify and classify all the geometries of...
	encarta.msn.com /David_Hilbert.html (131 words)

	David Hilbert Biography and Summary
		David Hilbert was one of a group of nineteenth-century mathematicians like Nikolai Ivanovich Lobachevski (1792-1856), János Bolyai (1802-1860), and Georg Riemann (1826-1866) who for many decades had been reexamining the geometry of Euclid.
		In 1900 David Hilbert (1862-1943), one of the acknowledged leaders of pure mathematics at the turn of the century, identified what he considered to be the most important problems facing contemporary mathematicians at an address to the Second Internation...
		David Hilbert(January 23, 1862, Wehlau, East Prussia – February 14, 1943, Göttingen, Germany) was a German mathematician, recognized as one of the most influential mathematicians of the 19th and early 20th centuries.
	www.bookrags.com /David_Hilbert (296 words)

	David Hilbert (Site not responding. Last check: 2007-11-07)
		In 1895, Hilbert was appointed to the chair of mathematics at the University of Göttingen, where he continued to teach for the rest of his career.
		Hilbert submitted a paper on the subject, and despite objections from Gordan, the world expert on invariant theory, it was accepted.
		Hilbert contributed to many branches of mathematics, including invariants, algebraic number fields, functional analysis, integral equations, mathematical physics, and the calculus of variations.
	www.stetson.edu /~efriedma/periodictable/html/H.html (516 words)

	David Hilbert - Conservapedia
		David Hilbert (1862-1943) was a German mathematician who attempted to formalize mathematics in a methodical manner.
		He is most famous for listing the 23 greatest unsolved problems of mathematics in the early 1900s, problems that included the Riemann hypothesis, the continuum hypothesis, Goldbach's conjecture, the well ordering of the reals, the transcendence of powers of algebraic numbers and the extension of Dirichlet's principle.
		Later, after Hilbert did work in algebraic number theory and geometry, and created the "Hilbert space," he was an early promoter of the general theory of relativity.
	www.conservapedia.com /David_Hilbert (136 words)

	PlanetMath: David Hilbert (Site not responding. Last check: 2007-11-07)
		David Hilbert (1862 - 1943) German mathematician, perhaps best known for Hilbert space and Hilbert's problems.
		He also did much to axiomatize geometry and pondered philosophical questions of infinity with Georg Cantor and Kurt Gödel. Hilbert has Erdős number 4.
		This is version 1 of David Hilbert, born on 2007-01-14.
	planetmath.org /encyclopedia/DavidHilbert.html (90 words)

	David Hilbert (Site not responding. Last check: 2007-11-07)
		David Hilbert was born on January 23, 1862, in Wehlau (near modern-day Kaliningrad) in what was then East Prussia.
		Hilbert's Tenth Problem asked if there was a "process" by which "it can be deterined by a finite number of operations whether [a Diophantine] equation can be solved in...
		Hilbert believed that the answer to all these questions was "yes".
	www.student.cs.uwaterloo.ca /~cs462/Hall/hilbert.html (322 words)

	Hilbert, David
		Hilberts mathematische Interessen waren weit gestreut, von der Invariantentheorie über die algebraische Zahlentheorie, Grundlagen der Geometrie, Analysis bis hin zur Relativitätstheorie.
		Seine herausragenden längeren Arbeiten enthalten den 370 Seiten starken Zahlbericht (1895-7), in dem er einen großen Teil der algebraischen Zahlentheorie überarbeitete, und seinen axiomatischen Zugang der euklidischen Geometrie (1899).
		Um 1903 führte Hilbert, bei der Untersuchung eines Problems von Integralgleichungen, den unendlichdimensionalen euklidischen Raum ein, der heute nach ihm benannt wird.
	www.mathe.tu-freiberg.de /~hebisch/cafe/hilbert.html (224 words)

	Hilbert summary
		Hilbert's work in geometry had the greatest influence in that area after Euclid.
		A systematic study of the axioms of Euclidean geometry led Hilbert to propose 21 such axioms and he analysed their significance.
		David Joyce (A list of Hilbert's 23 problems)
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Hilbert.html (60 words)

	David Hilbert
		My name is David Hilbert and I am an Associate Professor of Philosophy at the University of Illinois at Chicago.
		My main areas of research are color, philosophy of perception, and philosophy of mind.
		Links to information regarding my current classes can be found under the classes link above
	tigger.uic.edu /~hilbert (145 words)

	David Hilbert (Site not responding. Last check: 2007-11-07)
		David Hilbert (Königsberg, Prusia (ahora Kaliningrad, Rusia), 1862 - Gotinga, id., 1943) Matemático alemán.
		Su padre era juez, y fue destinado al poco de su nacimiento a Königsberg, donde David recibió su educación y en cuya universidad inició los estudios de matemáticas.
		La tesis de Hilbert trataba de los invariantes algebraicos, un tema que le propuso su joven profesor F. Lindemann, quien dos años antes había demostrado que «pi» es un número trascendente.
	www.sabiondo.com /9634ca-david_hilbert.htm (330 words)

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