1. Menger Karl Menger. Born Karl Menger attended the Doblinger Gymnasium in Vienna (19131920) where one of his fellow students was Pauli. Karl http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Menger.html

Karl Menger Born: 13 Jan 1902 in Vienna, Austria Died: 5 Oct 1985 in Chicago, Illinois, USA Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Karl Menger attended the Doblinger Gymnasium in Vienna (1913-1920) where one of his fellow students was Pauli . Karl entered the University of Vienna in 1920 to study physics. However Hahn became a lecturer in Vienna in 1921 and Menger attended a course he gave on What's new concerning the concept of a curve. Menger became interested in the topic and was encouraged by Hahn to work on the topic. Menger's work led him to a definition of dimension independently of Urysohn , however Urysohn had died in a drowning accident before he could publish his work and Menger was not aware of it. After a severe lung disease which forced Menger to spend more than a year in a sanatorium, he returned with important papers he had written on dimension while in the sanatorium and completed his doctorate in 1924. In 1925 Menger was invited by Brouwer to take up a post in the University of Amsterdam where he spent two years working with Brouwer . In 1927 Menger was invited by Hahn to accept the chair of geometry at the University of Vienna when Reidemeister Brouwer and they were not on the best of terms. In 1938, as a result of the political situation in Austria, he resigned his chair and accepted a post in the USA at the University of Notre Dame. Karl Signund writes:-

2. Karl Menger Karl Menger. (Jan. 13 1902 Oct. 5 1985). compiled by Greg Fasshauer. Karl Menger s Fields of Research. http://www.iit.edu/~am/Menger/menger.html

Karl Menger (Jan. 13 1902 - Oct. 5 1985) compiled by Greg Fasshauer Menger's Life Principal Dates Menger's 100th Birthday (Jan.13 2002) ... Karl Menger's Ph.D. Students Karl Menger's Fields of Research Theory of Curves and Dimension Theory Geometry of General Metric Spaces (Convexity. Geodesics. Characterization of Euclidean Sets.) A General Theory of Length and the Calculus of Variations Coordinate-Free Treatment of Curvature ... Ethics. Formal Studies of Human Relations Karl Menger [Not that, if one were to spread the insight into the methods of mathematics more widely, this would necessarily result in many more intelligent things being said than today, but certainly many fewer unintelligent things would be said.] Principal Dates born in Vienna studied at the University of Vienna; Ph.D. in Mathematics docent at the University of Amsterdam professor of geometry at the University of Vienna visiting lecturer at Harvard University and The Rice Institute founder of the Ergebnisse eines Mathematischen Kolloquiums founder of Reports of a Mathematical Colloquium , 2nd series, and Notre Dame Mathematical Lectures professor of mathematics, Illinois Institute of Technology, Chicago

3. Karl Menger Karl Menger. 7 Feb 1994 Karl Menger, by Mike Mortenson. 2 Mar 1994. REPOST Re Karl Menger, by John Conway. 2 Mar 1994. REPOST Re Karl Menger, by Philip Mallinson. 7 Feb 1994 Karl Menger, by Mortenson. The Math Forum http://mathforum.com/epigone/geometry-forum/16

a topic from geometry-forum Karl Menger 7 Feb 1994 Karl Menger , by Mike Mortenson 2 Mar 1994 REPOST: Re: Karl Menger , by John Conway 2 Mar 1994 REPOST: Re: Karl Menger , by Philip Mallinson 7 Feb 1994 Karl Menger , by Mortenson The Math Forum

4. Karl Menger - Wikipedia, The Free Encyclopedia Log in Help. Karl Menger. From Wikipedia, the free encyclopedia. looking for the article on his father, the economist Carl Menger. Karl Menger. Karl Menger ( January 13, 1902 http://en2.wikipedia.org/wiki/Karl_Menger

Karl Menger From Wikipedia, the free encyclopedia. This article is about the mathematician. You may be looking for the article on his father, the economist Carl Menger Karl Menger Karl Menger January 13 October 5 ) was a mathematician of great scope and depth. He did work on Algebras, Curve and Dimension Theory, and Geometries. His most famous popular contribution was the Menger Sponge (mistakenly known as Sierpinski 's Sponge), a three dimensional version of Sierpinski's Carpet . It is also related to the Cantor Set and the Sierpinski Square With Arthur Cayley , Menger is considered one of the founders of distance geometry ; especially by having formalized definitions to the notions of angle and of curvature in terms of directly measurable physical quantities, namely ratios of distance values. The characteristic mathematical expressions appearing in those definitions are Cayley-Menger determinants edit External links http://www.iit.edu/~am/Menger/menger.html Views Article Discussion Edit History Personal tools Log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Special pages This page was last modified 19:46, 14 May 2004.

5. Karl Menger Karl Menger. Karl Menger (January 13 1902 October 5 1985) was a mathematician of great scope and depth. He did work on Algebras http://www.fact-index.com/k/ka/karl_menger.html

Main Page See live article Alphabetical index Karl Menger Karl Menger January 13 October 5 ) was a mathematician of great scope and depth. He did work on Algebras, Curve and Dimension Theory, and Geometries. His most famous popular contribution was the Menger Sponge (mistakenly known as Sierpinski 's Sponge), a three dimensional version of Sierpinski's Carpet . It is also related to the Cantor Set and the Sierpinski Square. See Also http://www.iit.edu/~am/Menger/menger.html You may be looking for the article on his father, the economist Carl Menger This article is from Wikipedia . All text is available under the terms of the GNU Free Documentation License

6. Karl Menger - Encyclopedia Article About Karl Menger. Free Access, No Registrati encyclopedia article about Karl Menger. Karl Menger in Free online English dictionary, thesaurus and encyclopedia. Provides Karl Menger. Word http://encyclopedia.thefreedictionary.com/Karl Menger

Dictionaries: General Computing Medical Legal Encyclopedia Karl Menger Word: Word Starts with Ends with Definition This article is about the mathematician. You may be looking for the article on his father, the economist Carl Menger Carl Menger (February 23, 1840 - February 26, 1921) was the founder of the Austrian School of economics. Menger was born in Neu Sandec, Galicia, a part of present day Poland that was at the time part of Austria. He was the son of a wealthy family of minor nobility, his father was a lawyer. After attending Gymnasium he studied law at the Universities of Prague and Vienna and later received a doctorate in jurisprudence from the University of Krakow. In the 1860's Menger left school and enjoyed a stint as a journalist reporting and analyzing market news, first at the Lemberger Zeitung and later at the Wiener Zeitung. Click the link for more information. Karl Menger January 13 January 13 is the 13th day of the year in the Gregorian calendar. It is still celebrated as New Year's Eve by those on the Julian calendar. There are 352 days remaining (353 in a leap year). Events 888 - Odo, Count of Paris becomes King of the Franks.

7. Vortrag Index menger karl. Studies in Geometry. WH http://www.canisianum.de/bisher/projekte/fraktale/VortragMuenster/

Anmerkung zum Titel Inhalt 1. Sierpinskitetraeder und Mengerschwamm, zwei klassische platonische Fraktale 1.1. Zur Mathematikgeschichte 1.2. Existenz der Grenzfigur 1.3. Fraktale Dimension 1.4. Zu Querverbindungen 2. Aktuelle Experimente mit "Platonischen Fraktalen" in der Schule 2.3. Anwendung auf das Oktaeder 2.4. Anwendung auf das Ikosaeder 2.5. Anwendung auf das Dodekaeder 2.6. Angaben zur konkreten Herstellung unserer Modelle 3. Literatur Anmerkung: (Offizielles Thema:) von Wilhelm Sternemann sternemann@t-online.de Literatur Sierpinski, Waclaw. Sur une courbe dont tout point est un point de ramification. Menger, Karl " und Menger, Karl. Proceedings Academie Amsterdam 29, S. 1124ff, 1923 Blumenthal, Leonhard M./ Menger Karl. Studies in Geometry. W. H. Freeman and Company Sanfrancisco 1970 Fraktale Geometrie der Natur 1987 (engl. Orig. 1977) Les objets fractals: forme, hasard et dimension In: Flammarion. Paris 1975 Urysohn, M. P. "Les multiplicites cantoriennes" M. Komorek/ R. Duit/ M. Schnegelberger (Hrsg.). Fraktale im Unterricht.

8. Karl Menger Translate this page Selecta Mathematica. Volume 1 Karl menger karl Menger Selecta Mathematica. Volume 1. http://www.buch-verzeichnis-online.de/a/Edmund_Hlawka.html

Bücher Musik DVD Video ... Hörbücher EUR 49,80 Selecta Mathematica. Volume 1 Karl Menger , Bert Schweizer , Abe Sklar , Karl Sigmund , Peter Gruber , Edmund Hlawka , Ludwig Reich , Leopold Schmetterer Springer-Verlag Vienna, 01. April 2002 EUR 59,80 Selecta Mathematica. Volume 2 Karl Menger , Bert Schweizer , Abe Sklar , Karl Sigmund , Leopold Schmetterer , Peter Gruber , Edmund Hlawka , Ludwig Reich Springer-Verlag Vienna, 03. Januar 2003 EUR 278,00 Gesammelte Abhandlungen I/ II. Johann Radon , Peter M. Gruber , Edmund Hlawka , Wilfried Nöbauer Birkhäuser Verlag, Januar 1998 EUR 39,88 Theorie der Gleichverteilung Edmund Hlawka EUR 139,05 Selecta Edmund Hlawka Springer Verlag, 22. Januar 1990 EUR 13,55 Zahlentheoretische Analysis. Wiener Seminarberichte 1980-82. Edmund Hlawka Springer, Heidelberg, 1985 EUR 18,51 Zahlentheorie. Eine Einführung, Vorlesungen über Mathematik

9. Karl Menger Karl Menger. Karl Menger (Leden 13 1902 Ríjen 5 1985) byl matematik velkého rozsahu a hloubka. On prece pracoval na Algebras http://wikipedia.infostar.cz/k/ka/karl_menger.html

švodn­ str¡nka Tato str¡nka v origin¡le Karl Menger Karl Menger Leden 13 Ř­jen 5 ) byl matematik velk©ho rozsahu a hloubka. On přece pracoval na Algebras, křivka a teorie velikosti, a Geometries. Jeho nejslavnějÅ¡­ popul¡rn­ př­spěvek byl Menger houba (mylně zn¡m½ jak Sierpinski ' s houba), tři rozměrn½ verze Sierpinski je koberec . To je tak© př­buzn½ k Cantor soubor a Sierpinski čtvercov½. Vidět tak© http: / / www. iit. edu / ~ b½t / Menger / menger. html Vy můžete b½t hledat čl¡nek o jeho otci, ekonom Carl Menger Toto je strojov½ překlad čl¡nku z encyklopedie Wikipedia poř­zen½ překladačem Eurotran . Cel½ text je dostupn½ za podm­nek GNU FDL licence

10. Menger, Karl (1902-1985) Short biography and works cited. http://staff-www.uni-marburg.de/~multimed/theorie/economics/grenznutzen/bios/Men

Entnommen aus: The New Palgrave. A Dictionary of Economics, hrsg. von John Eatwell, Murray Milgate, Peter Newman, London/Basingstoke, 4 Bde., 1987 Menger, Karl (1902-1985) When Hitler occupied Austria in March 1938, Menger, who at that time was teaching at Notre Dame, immediately resigned from his professorship in Vienna. He accepted a permanent position at the University of Notre Dame where he edited the Reports of a Mathemalical Colloquium, 2nd series (1937-46). From 1946 to his retirement in 1971 he was professor of mathematies at the Illinois Institute of Technology, Chicago. During these years and after he was offered and accepted visiting professorships at various European university institutes (among them the Sorbonne in Paris, and the Institute for Advanced Studies in Vienna). From his youth, when he edited and introduced the second German edition (1923) of his father's Principles of Economics, to his late life (cf. his 1972/73 paper on Austrian marginalism) Menger had been deeply interested in economic theory. SELECTED WORVS 1934a. Moral, Wille und Wellgestallung. Vienna: Springer-Verlag, Trans. with a postscript by the author as Morality, Decision and Social Organization, Dordrecht and Boston: Reidel, 1974.

11. Karl Menger A memorial note by Seymour Kass. PDF file. http://www.ams.org/notices/199605/comm-menger.pdf

12. The Vienna Colloquium An article on the History of Economic Thought site on this branch of mathematical economists centered around karl menger. http://cepa.newschool.edu/het/schools/vienna.htm

Karl Menger's Vienna Colloquium The "Vienna Colloquium" run by the mathematician Karl Menger (son of the economist Carl Menger ) in the 1930s, brought together many different minds from mathematics but also the physical sciences, philosophy, statistics and economics, that eventually set in motion modern general equilibrium theory from its early roots in the Lausanne School. Among the relevant participants in the Colloquium besides Karl Menger , was the banker and amateur economist Karl Schlesinger as well as the young Oskar Morgenstern , the polymath John von Neumann and the statistician Abraham Wald . Other participants included assorted Viennese physicists and mathematicians like Kurt Gödel . The proceedings of the Colloquium were collected by Menger and published as the Ergebnisse eines mathematischen Kolloquiums during the 1930s. One could argue that the Vienna Colloquium was the product of three distinct intellectual strands: the logical positivist philosophy of the Vienna Circle , the mathematics of Hilbert's "formalist" programme and the economics of the Austrian School. In economics, the rallying point for the Vienna Colloquium was the investigation of metatheoretic general equilibrium systems with multiple, simultaneously interacting parts. For economists, the prototype of such a system was Gustav

13. AMS Award - Karl Menger Memorial Awards karl menger Memorial Awards The family of the late karl menger were the major contributors to a fund established at Duke University. The majority of the income from this fund is to be used by the http://www.ams.org/prizes/menger-award.html

Karl Menger Memorial Awards Karl Menger Memorial Awards The family of the late Karl Menger were the major contributors to a fund established at Duke University. The majority of the income from this fund is to be used by the Society for annual awards at the International Science and Engineering Fair First awards, 1990: Daniel K. Dugger, Joshua Erlich, Joshua B. Fischman, Min-Horng Chen, Matthew Baker, Michael L. Harrison, Virginia A. DiDomizio. Second awards, 1991: Monwhea Jeng, Hans Christian Gromoll, Jesse L. Tseng, Andrew Dittmer, Matthew A. Neimark, Rageshree Ramachandran, Jeb E. Willenbring. Third awards, 1992: Mahesh Kalyana Mahanthappa, Harrison Kwei Tsai, Andrew Olstrom Dittmer, Jonobie Dale Baker, Joshua Brody, Yen-Hsiang Li, Robert Jordon Pollack. Fourth awards, 1993: Mahesh Kalyana Mahanthappa, Steve Shaw-Tang Chien, Andrew Olstrom Dittmer, Moon Duchin, Robert Michael Kirby II, Sarah Ann Lord, Anna Ruth Terry. Fifth awards, 1994: Davesh Maulik, Eric Matthew Dennis, Sarah Ann Lord, Timothy Stephen Eller, Rahul Manu Kohli, Fam-ye Lin, Benedek Valko, Mary Kathleen Clavenna, Vinay Kumar Goyal-Singhal, Jan Kristian Haugland, Wes Andres Watters, Ian George Zacharia.

14. References For Menger References for karl menger. Articles T Cornides, karl menger s contributions to social thought, Math. Social Sci. 6 (1) (1983), 111. http://www-gap.dcs.st-and.ac.uk/~history/References/Menger.html

References for Karl Menger Books: K Menger, Reminiscences of the Vienna Circle and the Mathematical Colloquium (Dortmund, 1994). Articles: T Cornides, Karl Menger's contributions to social thought, Math. Social Sci. L Golland, Karl Menger and taxicab geometry, Math. Mag. S Kass, Karl Menger, Notices of the American Mathematical Society K Sigmund, A philosopher's mathematician: Hans Hahn and the Vienna Circle, The Mathematical Intelligencer Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR December 1996 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Menger.html

15. Science, Math, History, People: Menger, Karl karl menger (19021985), mathematician, economist and philosopher, son of the economist Carl menger (1840-1921). karl menger - A memorial note by Seymour Kass. http://www.combose.com/Science/Math/History/People/Menger,_Karl/

Top Science Math History ... Karl Menger - A memorial note by Seymour Kass. PDF file. Menger, Karl (1902-1985) - Short biography and works cited. Menger - A short biography of Karl Menger (1902-1985) Karl Menger (1902-1985), mathematician, economist and philosopher, son of the economist Carl Menger (1840-1921). Help build the largest human-edited directory on the web. Submit a Site Open Directory Project Become an Editor The combose.com directory is based on the Open Directory and has been modified and enhanced using our own technology. About ComboSE Download Combose Toolbar

16. All Products : Bestsellers HINBIN Philosophy Resources for everyone at erraticimpact.com by Ernest MacH, Ernst Mach, T. J. McCormack, karl menger. December, 1988 Mathematical Colloquium (Vienna Circle Collection http://www.erraticimpact.com/cgi-bin/amazon_products_feed.pl?input_templates=1&a

17. Science - Math - History - People - Menger, Karl Directory Engine Info. Search Top Science Math History People menger, karl karl menger A memorial note by Seymour Kass. PDF file. karl http://www.sedirectory.net/Science/Math/History/People/Menger,_Karl/

Web Hosting Dir Web Design Dir Search Engine Dir Hardware Info ... Resources Search: Top Science Math History ... Karl Menger - A memorial note by Seymour Kass. PDF file. Karl Menger - Biography, bibliography, fields of research and references. Menger - A short biography of Karl Menger (1902-1985) Menger, Karl (1902-1985) - Short biography and works cited.

18. Menger, Karl karl menger von Wolfensgrün. http://www.aeiou.at/aeiou.encyclop.m/m531634.htm

A B C D ... Mengele, Benno Menger, Karl Menger, Karl, * 13. 1. 1902 Wien, † 5. 10. 1985 Chikago (USA), Mathematiker; Sohn von Karl Mitglied des Wiener Kreises ; emigrierte 1936; 1937-46 Professor of Notre Dame in Indiana (USA), ab 1946 Professor am Illinois Institute of Technology in Chikago. Sein Hauptarbeitsgebiet war die Topologie, die allgemeine Lehre vom Raum und von Gebilden. Weiters befasste er sich mit Ethik und formalen Studien menschlicher Beziehungen. Werke: Dimensionstheorie, 1928; Kurventheorie, 1932. Literatur: R. Einhorn, Vertreter der Mathematik und Geometrie an den Wiener Hochschulen 1900-40, Dissertation , Wien 1985; Almanach der Akademie der Wissenschaften Werkverzeichnis Neue Deutsche Biographie Hinweise zum Lexikon Suche nach hierher verweisenden Seiten

19. The Julia Dale Prize Duke University. Department of Mathematics. The karl menger Award. The karl menger Award, first given in 1989, is a cash prize awarded annually by the Department of Mathematics for outstanding performance in mathematical competitions. karl menger (19021985) was a distinguished twentieth century mathematician who made http://www.math.duke.edu/undergraduate/Menger/menger.html

Duke University Department of Mathematics The Karl Menger Award The Karl Menger Award, first given in 1989, is a cash prize awarded annually by the Department of Mathematics for outstanding performance in mathematical competitions. The selection committee is appointed by the Director of Undergraduate Studies. Karl Menger (1902-1985) was a distinguished twentieth century mathematician who made major contributions to a number of areas of mathematics, including dimension theory, logic, lattice theory, differential geometry, and graph theory. Menger, who held academic positions in Europe and the United States, was widely published. The Karl Menger Award was established by a gift to Duke University from George and Eva Menger-Hammond, the daughter of Karl Menger. Menger Award Recipients Return to: Undergraduate Home Page Department of Mathematics Duke University Last modified: 9 November 1996

20. Menger Von Wolfensgrün, Karl Translate this page menger von Wolfensgrün, karl. © Copyright karl menger von Wolfensgrün. Foto. menger von Wolfensgrün, karl, * 23. 2. 1840 http://www.aeiou.at/aeiou.encyclop.m/m532484.htm

A B C D ... Mendel, Gregor eigentlich Johann Mendel - Merkl, Adolf Polen und Max , Vater von Karl Menger Rudolf . Ab 1873 Politische -Ungarn besondere Verdienste. Ab 1900 Herrenhausmitglied Grenznutzentheorie und als Vater der herausgegeben von F. A. Hayek, 4 deutsch Literatur: Neue Deutsche Biographie Hinweise zum Lexikon Suche nach hierher verweisenden Seiten

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