21. David Hilbert David Hilbert. Hilbert was a wellknown mathemtician during this time.When Heisenberg was first trying to solve his matrix problem http://www.chembio.uoguelph.ca/educmat/chm386/rudiment/tourquan/hilbert.htm

David Hilbert Author: Dan Thomas email: Last Updated: Friday, July 5, 1996

22. Stadtarchiv Schaffhausen: Biographisches Material HILBERT David Translate this page hilbert david, 1862-1943. Prof. der Mathematik ad Universität Göttingen.Nekrologe Nachruf in der NZZ vom 1943. Bestandes-Signatur http://www.stadtarchiv-schaffhausen.ch/Biographien/157.htm

STADTARCHIV SCHAFFHAUSEN Übersicht HILBERT David Prof. der Mathematik a. d. Universität Göttingen Nekrologe: Nachruf in der NZZ vom 1943. Bestandes-Signatur: D I 02.521.04 Bestell-Signatur: 157

23. David Hilbert David Hilbert 18621943 David Hilbert studied at the University ofKönigsberg under Lindemann. He was friends with Hurwitz, who http://www.stetson.edu/~efriedma/periodictable/html/H.html

David Hilbert Hilbert's first work was on invariant theory, and in 1888 he proved his famous Basis Theorem. Hilbert submitted a paper on the subject, and despite objections from Gordan, the world expert on invariant theory, it was accepted. He expanded on his methods in a later paper, and Klein, after reading the manuscript, wrote "I do not doubt that this is the most important work on general algebra that the [journal] has ever published." From 1893 to 1897, Hilbert worked on a book on algebraic number theory. This was a brilliant synthesis of the work of Kummer, Kronecker and Dedekind but contains a wealth of Hilbert's own ideas. The beginnings of Class field theory are all contained in this work. Hilbert's work in geometry had the greatest influence in that area since Euclid. A systematic study of the axioms of Euclidean geometry led Hilbert to propose 21 such axioms and he analysed their significance. He published a paper in 1899 putting geometry in a formal axiomatic setting. The book continued to appear in new editions and was a major influence in promoting the axiomatic approach to mathematics during the twentieth century. Hilbert gave a famous speech, "The Problems of Mathematics", to the Second International Congress of Mathematicians in Paris. In it he presented 23 unsolved problems he felt were fundamental to mathematics. Hilbert's problems included the continuum hypothesis, the well ordering of the reals, Goldbach's conjecture, the transcendence of powers of algebraic numbers, the Riemann hypothesis, the extension of Dirichlet's principle and many more. Many of the problems were solved during the twentieth century, and each time one of the problems was solved it was a major event for mathematics.

24. David Hilbert David Hilbert. 7/28/99. Click here to start. Table of Contents. David Hilbert.David Hilbert. David Hilbert. David Hilbert. David Hilbert. David Hilbert. http://www.hsu.edu/faculty/worthf/mathematicians/Hilbert/

David Hilbert Click here to start Table of Contents David Hilbert David Hilbert David Hilbert David Hilbert ... David Hilbert Author: Fred Worth Email: worthf@hsu.edu

25. David Hilbert David Hilbert(18621943) was born on January 23, 1862, in Königsberg, Germany.Hilbert's inclination toward mathematics is believed to be due to his mother. http://www.math.ukans.edu/~engheta/bio/hilbert.html

David Hilbert Heinrich Weber Richard Dedekind's Weber left, Lindeman was appointed as his successor. Lindeman's influence caused Hilbert to become interested in the theory of invariants. Hilbert proved the famous Hilbert basis theorem - that is, if every ideal in a ring R has a finite basis, then so does every ideal in the polynomial ring R x ]. Hilbert's results connected the theory of invariants to the fields of algebraic functions and algebraic varieties. He also proved the Hilbert irreducibility theorem. Hilbert also worked on algebraic number theory. This work centers on the reciprocity law, developed from Gauss's law of quadratic residues. In 1893, Hilbert, along with Minkowski, was assigned to prepare a report on number theory. Minkowski soon withdrew from this project. Hilbert summarized the known results in Zahlbericht . For half a century, it was a bible for anyone interested in learning algebraic number theory. In 1899, Hilbert published Grundlagen der Geometrie , which went into its ninth edition in 1962. After 63 years, the book was still being read, although it was slowly modernized. In 1900, while addressing the International Congress of Mathematicians on mathematical problems, Hilbert introduced 23 problems. These have since stimulated mathematical investigations.

26. David & Hilbert David Hilbert. ENS ENS students David Madore MathematicsComputer science Programs Linux Literature, ENS ENS http://www.eleves.ens.fr:8080/home/madore/hilbert.html

ENS ENS students David Madore Mathematics ... David Madore Last modified: $Date: 2002/06/17 22:41:22 $

27. David Hilbert David Hilbert. David Hilbert was born on January 23, 1862, in Wehlau (near moderndayKaliningrad) in what was then East Prussia. David Hilbert, (transl. http://www.student.math.uwaterloo.ca/~cs462/Hall/hilbert.html

David Hilbert Hilbert made deep and fundamental contributions to algebra, number theory, and geometry. In 1900 he was invited to give an address at the International Congress of Mathematicians in Paris. His address, entitled Mathematical Problems , listed 23 important problems he felt deserved the attention of mathematicians of the coming century. 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 ... integers". (A Diophantine equation is a multivariate polynomial equation.) In his later career, Hilbert became more interested in the foundations of mathematics and the possibility of resolving, by completely mechanical means, any well-posed mathematical problem. In 1928 he asked: Is mathematics complete , in the sense that every statement can either be proved or disproved? Is mathematics consistent , in the sense that one can never arrive at a contradiction such as = 1 by a sequence of valid steps of reasoning? Is mathematics decidable , in the sense that there exists a mechanical procedure that will always determine the truth or falsity of a statement?

28. Editions Jacques Gabay - David HILBERT Translate this page David HILBERT. David HILBERT. 1862 - 1943. Au catalogue des EditionsJacques Gabay HILBERT Les fondements de la géométrie , 1971 http://www.gabay.com/sources/Liste_Bio.asp?NP=HILBERT David

29. Hilbert, David david hilbert (23.01.1862 14.02.1943) wurde in Königsberg geboren. Sein Vater und sein Großvater waren Richter. Im Jahre 1885 promovierte er mit einer Dissertation über Invariantentheorie. http://www.mathe.tu-freiberg.de/~hebisch/cafe/hilbert.html

Hilbert, David Liste von 23 Problemen Bertrand Russell stark interessierte. Einige Mathematiker lehnten seine Methode zur Behebung dieser Grundlagenkrise ab und im Jahre 1931 zerschlug

30. Mathematical Problems Of David Hilbert Text of hilbert's 1900 address in English. http://aleph0.clarku.edu/~djoyce/hilbert/

The Mathematical Problems of David Hilbert About Hilbert's address and his 23 mathematical problems 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. In it, Hilbert outlined 23 major mathematical problems to be studied in the coming century. Some are broad, such as the axiomatization of physics (problem 6) and might never be considered completed. Others, such as problem 3, were much more specific and solved quickly. Some were resolved contrary to Hilbert's expectations, as the continuum hypothesis (problem 1). Hilbert's address was more than a collection of problems. It outlined his philosophy of mathematics and proposed problems important to his philosophy. Although almost a century old, Hilbert's address is still important and should be read (at least in part) by anyone interested in pursuing research in mathematics. In 1974 a symposium was held at Northern Illinois University on the Mathematical developments arising from Hilbert problems.

31. References For Hilbert References for david hilbert. Biography Articles P Bernays, david hilbert,Encyclopedia of Philosophy III (New York, 1967), 496504. L http://www-gap.dcs.st-and.ac.uk/~history/References/Hilbert.html

References for David Hilbert Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: C Reid, Hilbert (Berlin- Heidelberg- New York, 1970). C Reid, Hilbert-Courant ( New York, 1986). K Reidemeister (ed.), Gedenkband H Wussing, Hilbert, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983). Articles: P Bernays, David Hilbert, Encyclopedia of Philosophy III (New York, 1967), 496-504. L Cakalov, David Hilbert and his mathematical work (Bulgarian), Fiz. Mat. Spis. Bulgar. Akad. Nauk. S-B Math.-Nat. Abt. Bayer. Akad. Wiss. L Corry, Axiomatics and structural algebra in the works of David Hilbert (Spanish), Mathesis L Corry, J Renn and J Stachel, Belated Decision in the Hilbert-Einstein Priority Dispute, Science 278 (14 November, 1997). Rev. Integr. Temas Mat. K-R Biermann, David Hilbert und die Berliner Akademie, Math. Nachr. D W Lewis, David Hilbert and the theory of algebraic invariants, Irish Math. Soc. Bull. B Machado, David Hilbert (Portuguese)

32. Hilbert Biography from the MacTutor History of Mathematics Archive. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hilbert.html

David Hilbert Born: Died: Click the picture above to see eight larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index David Hilbert attended the gymnasium Lindemann for his doctorate which he received in 1885 for a thesis entitled One of Hilbert's friends there was Minkowski In 1884 Hurwitz In 1892 Schwarz Weierstrass 's chair and Klein Klein failed to persuade his colleagues and Heinrich Weber was appointed to the chair. Klein Fuchs Minkowski Hilbert's first work was on invariant theory and, in 1888, he proved his famous Basis Theorem. Twenty years earlier Gordan had proved the finite basis theorem for binary forms using a highly computational approach. Attempts to generalise Gordan 's work to systems with more than two variables failed since the computational difficulties were too great. Hilbert himself tried at first to follow Gordan 's approach but soon realised that a new line of attack was necessary. He discovered a completely new approach which proved the finite basis theorem for any number of variables but in an entirely abstract way. Although he proved that a finite basis existed his methods did not construct such a basis. Hilbert submitted a paper proving the finite basis theorem to Mathematische Annalen.

33. Mathematical Problems By David Hilbert Lecture delivered before the International Congress of Mathematicians at Paris in 1900 By Professor david Hilbert1 By Professor david Hilbert1. Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a http://babbage.clarku.edu/~djoyce/hilbert/problems.html

Mathematical Problems Lecture delivered before the International Congress of Mathematicians at Paris in 1900 By Professor David Hilbert Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of our science and at the secrets of its development during future centuries? What particular goals will there be toward which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the wide and rich field of mathematical thought will the new centuries disclose? History teaches the continuity of the development of science. We know that every age has its own problems, which the following age either solves or casts aside as profitless and replaces by new ones. If we would obtain an idea of the probable development of mathematical knowledge in the immediate future, we must let the unsettled questions pass before our minds and look over the problems which the science of today sets and whose solution we expect from the future. To such a review of problems the present day, lying at the meeting of the centuries, seems to me well adapted. For the close of a great epoch not only invites us to look back into the past but also directs our thoughts to the unknown future. The deep significance of certain problems for the advance of mathematical science in general and the important role which they play in the work of the individual investigator are not to be denied. As long as a branch of science offers an abundance of problems, so long is it alive; a lack of problems foreshadows extinction or the cessation of independent development. Just as every human undertaking pursues certain objects, so also mathematical research requires its problems. It is by the solution of problems that the investigator tests the temper of his steel; he finds new methods and new outlooks, and gains a wider and freer horizon.

34. Mathematical Problems Of David Hilbert The Mathematical Problems of david hilbert. About hilbert's addressand his 23 mathematical problems. hilbert's address of 1900 to http://babbage.clarku.edu/~djoyce/hilbert/

The Mathematical Problems of David Hilbert About Hilbert's address and his 23 mathematical problems 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. In it, Hilbert outlined 23 major mathematical problems to be studied in the coming century. Some are broad, such as the axiomatization of physics (problem 6) and might never be considered completed. Others, such as problem 3, were much more specific and solved quickly. Some were resolved contrary to Hilbert's expectations, as the continuum hypothesis (problem 1). Hilbert's address was more than a collection of problems. It outlined his philosophy of mathematics and proposed problems important to his philosophy. Although almost a century old, Hilbert's address is still important and should be read (at least in part) by anyone interested in pursuing research in mathematics. In 1974 a symposium was held at Northern Illinois University on the Mathematical developments arising from Hilbert problems.

35. The History Of Algebra In The Nineteenth And Twentieth Centuries Topics include the contribution of david hilbert, the origins of Emmy Noether's work, the spread and development of this field in Europe and the US, as well as modern algebra in the nineteenth and early twentieth centuries. Will take place at Mathematical Sciences Research Institute (MSRI) on 2125 April 2003 in Berkeley, CA, USA. http://www.msri.org/calendar/workshops/WorkshopInfo/245/show_workshop

Calendar The History of Algebra in the Nineteenth and Twentieth Centuries April 21, 2003 to April 25, 2003 Organized by: Jeremy J. Gray and Karen Hunger Parshall Historians of mathematics have come to focus seriously on the history of modern algebra only within the last twenty-five years. That history originally tended to be done from the very technical point of view of the history of ideas, an approach typified in, for example, Morris Kline's massive Mathematical Thought from Ancient to Modern Times (1972), although Kline tended to give algebra in general rather short shrift in that work. In 1985, B. L. van der Waerden provided a more synthetic and focused account in A History of Algebra from al-Khwarismi to Emmy Noether, but while this work incorporated some biographical and broader historical analysis, it presented the development of algebra as a series of rather disjointed mathematical vignettes instead of in terms of a coherent historical and mathematical analysis. To date, no work has been written on the history of algebra in the nineteenth and twentieth centuries that ranges widely over the complex and interacting factors that led to modern algebra. Some of the topics the workshop will address are: the contribution of David Hilbert to modern algebra, his re-working of the ideas of Dedekind and Kronecker, and the role of his new formulation of the subject in guiding subsequent research;

36. The Epsilon Calculus Discussion of david hilbert's development of this type of logical formalism with emphasis on prooftheoretic methods. http://plato.stanford.edu/entries/epsilon-calculus/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z content revised MAY The Epsilon Calculus The epsilon calculus is a logical formalism developed by David Hilbert in the service of his program in the foundations of mathematics. The epsilon operator is a term-forming operator which replaces quantifiers in ordinary predicate logic. Specifically, in the calculus, a term x A denotes some x satisfying A x ), if there is one. In Hilbert's Program, the epsilon terms play the role of ideal elements; the aim of Hilbert's finitistic consistency proofs is to give a procedure which removes such terms from a formal proof. The procedures by which this is to be carried out are based on Hilbert's epsilon substitution method. The epsilon calculus, however, has applications in other contexts as well. The first general application of the epsilon calculus was in Hilbert's epsilon theorems, which in turn provide the basis for the first correct proof of Herbrand's theorem. More recently, variants of the epsilon operator have been applied in linguistics and linguistic philosophy to deal with anaphoric pronouns. Overview The Epsilon Calculus The Epsilon Theorems Herbrand's Theorem ... Epsilon Operators in Linguistics, Philosophy, and Non-classical Logics

37. Hilbert, David (1862-1943) -- From Eric Weisstein's World Of Scientific Biograph hilbert, david (18621943), German mathematician who set forth the firstrigorous set of geometrical axioms in Foundations of Geometry (1899). http://scienceworld.wolfram.com/biography/Hilbert.html

Branch of Science Mathematicians Nationality German Hilbert, David (1862-1943) German mathematician who set forth the first rigorous set of geometrical axioms in Foundations of Geometry (1899). He also proved his system to be self-consistent. He invented a simple space-filling curve known as the hilbert curve and demonstrated the "basis theorem" in invariant theory. His many contributions span number theory (Zahlbericht), mathematical logic differential equations and the three-body problem He also proved Waring's theorem At the Paris International Congress of 1900, Hilbert proposed 23 outstanding problems in mathematics to whose solutions he thought twentieth century mathematicians should devote themselves. These problems have come to be known as Hilbert's problems and a number still remain unsolved today. After Hilbert was told that a student in his class had dropped mathematics in order to become a poet, he is reported to have said "Goodhe did not have enough imagination to become a mathematician" (Hoffman 1998, p. 95). Additional biographies: MacTutor (St. Andrews)

38. David Hilbert (David M. Hilbert) david hilbert. Professional, I david hilbert, Ph.D. Research ScientistFX Palo Alto Laboratory, Inc. 3400 Hillview Ave., Bldg. 4 Palo http://www.fxpal.com/people/hilbert/

David Hilbert Professional I joined FX Palo Alto Laboratory in August of 2000 and am a member of the Mobile Computing research group. I've authored a number of publications in the overlap between software engineering and human-computer interaction. Before that, I worked as a software engineer for over four years at NASA's Jet Propulsion Laboratory and Microsoft More publications vita Personal I was born in Boston in 1969, moved to Los Angeles in 1975, received the BA degree in Philosophy from Tufts University in 1991, and the MS and Ph.D. degrees in Information and Computer Science from the University of California at Irvine in 1996 and 1999. Since then, I've been living in the San Francisco Bay Area. More music travel photos books ... David Hilbert , Ph.D. Research Scientist FX Palo Alto Laboratory , Inc. 3400 Hillview Ave., Bldg. 4 Palo Alto, CA 94304 650-813-7233 (Office) 650-813-7081 (Fax) 650-776-7269 (Mobile) hilbert@fxpal.com

39. Leonard Nelson Biography from the Friesian School site. Includes some excerpts pertaining to the relationship between david hilbert and Nelson. http://www.friesian.com/nelson.htm

Leonard Nelson (1882-1927) Leonard Nelson, described by Karl Popper as an "outstanding personality," produced a great quantity of work (collected in the nine volumes of the Gesammelte Schriften ) in a tragically short life. The quantity and the tragedy may have both happened because Nelson was an insomniac who worked day and night and exhausted himself into a fatal case of pneumonia. Nelson's greatest contributions to philosophy were his rediscovery of Jakob Fries , his exposition, systematization, and expansion of Friesian philosophy, the use and theory of Socratic Method in his pedagogy, and his engagement with the mathematical issues of Kantian philosophy in relation to his personal and professional involvement with one of the great mathematicians of the Twentieth Century, David Hilbert (1862-1943) . Hilbert's concern with the axiomatization of geometry and all of mathematics strongly paralleled Nelson's work in the Friesian theories of truth and justification . Nelson recognized the important parallel between Hilbert's conception of meta-mathematics and Fries' distinction between critique and metaphysics Hilbert is now often overshadowed by later mathematicians; and Hilbert's desire to complete mathematics by reducing it to a finished and closed axiomatic system is now often only mentioned in the context that this was shown to be impossible by

40. David Hilbert (David M. Hilbert) 1998) Halloween Party (Oct. 1998) Wedding (Oct. 1997). david hilbert, Ph.D.Research Scientist FX Palo Alto Laboratory, Inc. 3400 Hillview Ave., Bldg. http://www.fxpal.com/people/hilbert/photos.html

Photos Photos For travel photos, click here "Hillstrong" Halloween Party (Oct) Dan's Birthday (Feb) Halloween in the Castro (Oct) "Hilstrong" Halloween Party (Oct) 2000 and before... "Hilstrong" Halloween Party (Oct. 2000) Sara's 30th Birthday (Nov. 1998) Halloween Party (Oct. 1998) Wedding (Oct. 1997) David Hilbert , Ph.D. Research Scientist FX Palo Alto Laboratory , Inc. 3400 Hillview Ave., Bldg. 4 Palo Alto, CA 94304 650-813-7233 (Office) 650-813-7081 (Fax) 650-776-7269 (Mobile) hilbert@fxpal.com

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