21. MSN Encarta - Search Results - Janos Bolyai Join Now. Searched Encarta for janos bolyai . Articles MSN Encarta Premium.Get more results for janos bolyai . 3 results on MSN Encarta http://encarta.msn.com/Janos_Bolyai.html

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22. Encyclopaedia Britannica Entry bolyai, janos. Born Dec. 15, 1802, Kolozsvár, Hung. now Cluj, Rom. Died Jan.27, 1860, Marosvásárhely, Hung. now Târgu Mures, Rom. http://www.aam314.vzz.net/EB/Bolyai.html

Bolyai, Janos Born: Died: Hungarian mathematician and one of the founders of non-Euclidean geometry-geometry that does not include Euclid's axiom that only one line can be drawn parallel to a given line through a point not on the given line. Although Bolyai knew nothing of mathematics at the age of 10, by the age of 13 he had mastered calculus and analytic mechanics under the tutelage of his father, the distinguished mathematician Farkas Bolyai. He also became an accomplished violinist at an early age and later was renowned as a superb swordsman. He studied at the Royal Engineering College in Vienna (1818-22) and served in the army engineering corps (1822-33). Appendix Scientiam Spatii Absolute Veram Exhibens ("Appendix Explaining the Absolutely True Science of Space"), a complete and consistent system of non-Euclidean geometry. Before his work was published, Bolyai found that he had largely been anticipated by Carl Gauss of Germany. This was a profound blow to Bolyai, even though Gauss had no claim to priority since he had never felt enough confidence in his findings to publish them. Bolyai allowed the "Appendix" to be published with his father's Tentamen Juventutem Studiosam in Elementa Matheseos Purae Introducendi (1832; "An Attempt to Introduce Studious Youth to the Elements of Pure Mathematics"), but the essay went unnoticed by other mathematicians. In 1848 he discovered that N.I. Lobachevsky had published an account of virtually the same geometry in 1829.

23. The Statue Of The Two Bolyai's: Bolyai Farkas And Janos- Targu Mures (Marosvasar Check out my website about, Targu Mures (Marosvasarhely) of Transylvania. Photo,description, internet presence of this city, link collection, URL. http://www.levif.net/bolyais.htm

Welcome to my website about Targu Mures (Marosvasarhely)! Check out the photos and descriptions of this city. Transylvania, coin, currency collection, New York Targu Mures -photo album- Targu Mures Online ... This is the life...? It is the work of two sculptors from Targu Mures, Izsak Marton and Csorvassy Istvan, representing the two mathematicians: Bolyai Farkas – professor at the Reformed College – and his son Bolyai Janos – creator of the non-Euclidian geometry. The statue was unveiled in 1957 on the establishment of the Reformed College.

24. Janos Bolyai Store janos bolyai Listing of 4 janos bolyai items available for purchase at ouronline store. Click here for janos bolyai and janos bolyai related products. http://www.mathbook.com/bio/b/Janos_Bolyai/

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25. Janos Bolyai Quotations Compiled By GIGA GIGA s compilation of quotations, quotes, excerpts, proverbs, maxims and aphorismsby janos bolyai. http://www.giga-usa.com/gigaweb1/quotes2/quautbolyaijanosx001.htm

Home Biographical Index Reading List Links ... Varying Hare Books GIGA QUOTES BY AUTHOR GIGA Quotes Quotes by Topic Authors by Date TOPICS: A B C D ... Z PEOPLE: A B C D ... QUOTATIONS JANOS BOLYAI Hungarian mathematician BUY BOOK RELATED TO JANOS BOLYAI Out of nothing I have created a strange new universe. - on the creation of a non-Euclidean geometry [ Geometry WWW.GIGA-USA.COM Back to Top of Page Top 100 ... Quote Links SUPPORT GIGA: Honor System Amazon Office Depot Target ... Field's The GIGA name and the GIGA logo are trademarks registered in the U.S. Patent and Trademark Office by John C. Shepard. Last Revised: 2004 November 22

26. Bolyai Biography of János bolyai (18021860) János bolyai s parents were ZsuzsannaBenkö, from Kolozsvár, and Farkas bolyai, from Bolya (near Nagyszeben). http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bolyai.html

Born: Died: Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Farkas Bolyai ... Farkas Bolyai ... when he was four he could distinguish certain geometrical figures, knew about the sine function, and could identify the best known constellations. By the time he was five he had learnt, practically by himself, to read. He was well above the average at learning languages and music. At the age of seven he took up playing the violin and made such good progress that he was soon playing difficult concert pieces. In 1816 Farkas wrote to his friend Gauss Gauss He studied at the Royal Engineering College in Vienna from 1818 to 1822 completing the seven year course in four years. He was an outstanding student and from his second year of study on he came top in most of the subjects he studied. He also had time to become an outstanding sportsman, and he continued to take his violin playing seriously and performed while in Vienna. His mother died on 18 September 1821 but he was able to continue his studies. When he graduated from the Academy on 6 September 1822 he had achieved such outstanding success that he spent a further year in Vienna on academic studies before entering military service. Of course he had received military training during his time in Vienna, for the summer months were devoted to this, but Bolyai's nature did not allow him to accept easily the strict military discipline.

27. References For Bolyai References for the biography of János bolyai. E Kiss, Fermat s theorem inJános bolyai s manuscripts, Math. Pannon. 6 (2) (1995), 237242. http://www-groups.dcs.st-and.ac.uk/~history/Printref/Bolyai.html

Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. [available on the Web] Books: S Barna, Bolyai Janos (Budapest, 1978). L Nemeth, The two Bolyais, The new Hungarian quarterly Geometrische Untersuchungen (Leipzig, 1913). History of Mathematics in Hungary until the 20th Century (Berlin-Heidelberg-New York, 1992). (Budapest, 1970). (Hungarian) (Budapest, 1978). Johann Bolyai : Leben und Werk des grossen Mathematikers (Bukarest, 1955). Articles: Proceedings of Symposium in Geometry (Cluj-Napoca, 1993), 7-23. Mat. Lapok M Bier, A Transylvanian lineage, The Mathematical Intelligencer V F Kagan, The construction of non-Euclidean geometry by Lobachevsky, Gauss and Bolyai (Russian), Proc. Inst. History of Science II Mat. Lapok Math. Pannon. Ocherki Istor. Estestvoznan. Tekhn. Proceedings of the national colloquium on geometry and topology (Cluj-Napoca, 1982), 12-26. Fiz.-Mat. Spisanie Mat. Lapok Mat. Lapok Mat. Lapok (Cluj-Napoca, 1979), 112-125. Mat. Lapok

28. The János Bolyai Mathematical Society The János bolyai Mathematical Society. You need a browser which supports framesto see the graphics version of this page! Textversion. http://www.bolyai.hu/

The János Bolyai Mathematical Society You need a browser which supports frames to see the graphics version of this page! Text-version

29. Üdvözöljük A BJMT Honlapján http://www.bolyai.hu/hu/

You need a browser which supports frames to see this page! Text-version

30. JÁNOS BOLYAI CONFERENCE ON HYPERBOLIC GEOMETRY Hungarian Academy of Sciences, Budapest; 812 July 2002. http://www.conferences.hu/Bolyai/

ON HYPERBOLIC GEOMETRY Budapest Hungary Third Announcement and Programme Contents Invitation Credits Programme of the Conference Registration and fees ... back to contents Invitation back to contents Credits Organisers Hungarian Academy of Sciences (HAS) University of Debrecen University of Szeged Computer and Automation Research Institute, HAS ... back to contents Sponsors Hungarian Academy of Sciences (HAS) Ministry of Education Ministry of Cultural Heritage National Cultural Fund (of Hungary) ... back to contents Programme Committee Chair: A. Prékopa (Hungary) Secretary: K. Bezdek (Hungary) Organising Committee Chair: Á. Császár (Hungary) Secretary: K. Böröczky (Hungary) back to contents Programme of the Conference The printed Programme booklet will be included in the Conference kit to be handled at the registration desk. The manuscript is available in the following formats: Programme (WinWord) Programme (pdf) Programme (html) back to contents Registration and fees - preferably on-line ( Registration and Accommodation Form is available here) or - by fax (Bolyai Conference Secretariat, Viktor Richter, fax: +361 386 9378)

31. A Névadó, Bolyai János életútja bolyai János 12 éves korában elvégezte a gimnázium 6. osztályát. bolyai Jánoseredményei annál is inkább figyelemre méltóbbak, mert rendkívül nehéz http://www.bjkmf.hu/history/bolyai.html

1802. december 15. 1818. augusztus Folyamatosan betegeskedik.

32. Bolyai János Gimnázium Online Salgótarján. http://www.bolyai-starjan.sulinet.hu/

.: a lap betöltése folyamatban :.

33. Bolyai, János By about 1820, János bolyai had become convinced that a proof of Euclid s postulateabout parallel lines was impossible; he began instead to construct a http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/B/BolyaiJ/1.html

Hungarian mathematician, one of the founders of non-Euclidean geometry. He was the son of Wolfgang Bolyai. Nikolai Lobachevsky had published an account of a very similar geometry (also ignored) 1829.

34. Bolyai, János bolyai, János. (b. Dec. 15, 1802, Kolozsvár, Hung. now Cluj, Rom.d. Jan.27, 1860, Marosvásárhely, Hung. now Tîrgu Mures, Rom. http://www.phy.bg.ac.yu/web_projects/giants/bolyai.html

Britannica CD Index Articles Dictionary Help s , Rom.]), Hungarian mathematician and one of the founders of non-Euclidean geometrygeometry that does not include Euclid's axiom that only one line can be drawn parallel to a given line through a point not on the given line. Although Bolyai knew nothing of mathematics at the age of 10, by the age of 13 he had mastered calculus and analytic mechanics under the tutelage of his father, the distinguished mathematician Farkas Bolyai. He also became an accomplished violinist at an early age and later was renowned as a superb swordsman. He studied at the Royal Engineering College in Vienna (1818-22) and served in the army engineering corps (1822-33). The elder Bolyai's fanatic preoccupation with proving Euclid's "Appendix Scientiam Spatii Absolute Veram Exhibens" ("Appendix Explaining the Absolutely True Science of Space"), a complete and consistent system of non-Euclidean geometry. Before his work was published, Bolyai found that he had largely been anticipated by Carl Gauss of Germany. This was a profound blow to Bolyai, even though Gauss had no claim to priority since he had never felt enough confidence in his findings to publish them. Bolyai allowed the "Appendix" to be published with his father's

35. Bolyai János Kutatási ösztöndíj bolyai JÁNOS KUTATÁSI ÖSZTÖNDÍJ. Pályázati felhívás Pályázható tudományterületek Az MTA bolyai János Kutatási Ösztöndíj Kuratóriumának Szervezeti és http://www.sztaki.hu/providers/bolyai/

36. Allmath.com - Math Site For Kids! Home Of Flashcards, Math bolyai, János. (180260). Mathematician, born in Cluj, Romania. After attemptingto prove Euclid s parallel postulate, he realized that it was possible to http://www.allmath.com/biosearch.php?QMeth=ID&ID=4298

37. Web Az euklidészitõl eltérõ axiómarendszert vezetett be bolyai JÁNOS ésLOBACSEVSZKIJ (182332). A legáltalánosabban elfogadott axiómarendszer HILBERT-tõl http://www.jgytf.u-szeged.hu/tanszek/matematika/speckoll/1998/geometria/web.htm

LOBACSEVSZKIJ HILBERT STEINER PITAGORASZ ... HEAWOOD nyelven. (Kr.e. 290/280-Kr.e.212/211) Az (Kr.e. 262?-190?) Pappos Ptolemaiosz ' nemeuklideszi geometria Bolyai Farkasnak ... hiperbola -ra, ahol Monge Pascal Cauchy, Augustin Louis Sorbonne ... Dandelin, Germinal Pierre foglalkozott. Quetelet Desargues, Girard axonometria 1648-ban jelent meg. Pascal Pappos Elemek Hilbert ... Kempe Foglalkozott Heron Hilbert, David Az A Jordan, Marie Ennemond Camille Francia matematikus, az Kleinre Galois Klein, Felix Jordan ... Galois A Riemann Lambert, Johann Heinrich Legendre, Adrien-Marie Lobacsevszkij, Nikolaj Ivanovics ... Mohr, Georg Mohr levelezett Tschirnhaus Leibniz -zel is. Monge, Gaspard Gauss von Staudt Pappos ... Pascal, Blaise . A Leibniz Pitagorasz (Kr. e. 580/570-500) "pythagoreusi iskola" Az Theano Poincare, Henri Sorbonne divergens sorok ... Hensel Steinitz a (Kr.e. 624?-546?)

38. Programismertetô Tanítványaink ? jobb esetben ? hallanak ugyan valamit bolyai János munkásságáról, Vizsgáljuk meg, mi az egyezo és mi az eltéro Euklídész és bolyai János http://www.jgytf.u-szeged.hu/tanszek/matematika/Bolyai/

BOLYAI.EXE Bolyai.exe , a Dr. Szilassi Lajos

39. Bolyai János Kéziratai bolyai János kéziratainak rejtett matematikai kincsei. bolyai János (1802?1860)a magyar és egyetemes tudomány egyik legnagyobb alakja. http://www.kfki.hu/chemonet/TermVil/kulonsz/k983/kiss.html

Bolyai Farkas Gauss Az e i i e p i e p Disquisitiones arithmeticae Wolter von Eckwehr Lobacsevszkij Bolyai matematikai ismeretei Abel nek (1802–1829), Galois -nak (1811–1832), Eisenstein nek (1823–1852), Riemann Grunert Archiv der Mathematik und Physik. Leibniz Newton Bernoulliak, Euler, d’Alembert, Lagrange, Clairaut (Euler dolgozataival), a Lacroix, Lagrange, Laplace, Newton, Cauchy, Bolyai Farkas, Littrow, Mascheroni, Vega, Euler, Montucla Ettingshausen Wolter von Eckwehr Emanuel Zitta – jegyzi meg 1856-ban – IRODALOM [1] Carmichael, R. D.: On composite numbers P which satisfy the Fermat congruence . Amer. Math. Monthly, 19(1912), 22–27. [2] Dickson, L. E.: History of the Theory of Numbers, Chelsea, New York, 1952. [4] Jeans, J. H.: The Converse of Fermat's Theorem, Messenger Math., 27(1897–1898), 174. m [9] Lehmer, D. H.: Tests for primality by the converse of Fermat's Theorem, Bull. Amer. Math. Soc., 33(1927), 327–340. [10] Lehmer, D. H.: On the Converse of Fermat's Theorem, Amer. Math. Monthy, 43(1936), 347–354. http://www.kfki.hu/chemonet/TermVil/

40. Bolyai János Forradalma bolyai János a magyar tudomány legkiemelkedobb alakja, Hosszú ideig tartottamagát az a vélekedés, hogy bolyai János az 1833ban bekövetkezett http://www.kfki.hu/chemonet/TermVil/tv2002/tv0207/prekopa.html

PRÉKOPA ANDRÁS Bolyai János forradalma Elsõ rész Bolyai János Széchenyi Kinga emlékérme Hosszú ideig tartotta magát az a vélekedés, hogy Bolyai János az 1833-ban bekövetkezett nyugdíjaztatása után ugyan írt még egyet-mást, közöttük egy lényegeset is a komplex számok megalapozását illetõen, de az elismerés hiánya depresszióssá tette és lényegében a matematikai alkotó munkától is visszavonult. Kiss Elemér marosvásárhelyi professzor volt az, aki erre rácáfolt, miután egy évtizedes munkával a hátrahagyott Bolyai-kéziratokat átböngészte és azokban jelentõs, a kéziratok keletkezésekor új „matematikai kincseket” talált. Bolyai János tudományos nagyságát külföldön fedezték fel, a hazai elismerés csak ezután következett. A XIX–XX. század fordulóján a kontinensen már széles körben ismertté vált mûve. Angolszász területen is voltak, akik megismerték és lelkesedtek érte, de jóval kevesebben, mint Európában. A második világháború után a világ kétpólusúvá vált. Az oroszok nem sokat emlegették Bolyai Jánost, õk inkább Lobacsevszkij érdemeit hangsúlyozták. Amerikában pedig, mint említettük, nem ismerték eléggé tudósunkat. 1977, amikor Gauss születésének 200. évfordulóját ünnepelték világszerte, újabb fordulatot hozott. Jóllehet korábban is számos matematikatörténeti tanulmány szerzõje Gausst tekintette a nemeuklideszi geometria elsõ számú felfedezõjének, ez a tendencia felerõsödött, háttérbe szorítva Lobacsevszkij személyét is. Az orosz szerzõk sikerrel érvelnek e nézetek ellen Lobacsevszkij érdekében. Nekünk magyaroknak is kötelességünk, hogy rámutassunk, hol van Bolyai János helye a matematikatörténetben és az egyetemes kultúrtörténetben. A nagyvilág elé kell tárnunk erre vonatkozó dokumentumainkat és kutatási eredményeinket.

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