Farkas Wolfgang Bolyai
Farkas Bolyai (born February 9, 1775 in Bólya , Transylvania , † November 20, 1856 in Marosvásárhely ), German Wolfgang Bolyai , was a Hungarian mathematician .
Bolyai studied at the universities of Klausenburg , Jena and Göttingen and became a close friend of Carl Friedrich Gauß there . In 1802 he became professor of mathematics, physics and chemistry at the Reformed College in Marosvásárhely, where he worked until 1849.
He investigated whether the axiom of parallels can be derived from the other four axioms of Euclidean geometry . He found eight equivalent statements that are contained in his main work Tentamen (1832). Among other things, he proved the logical equivalence of the statement "By three points not lying on a straight line there is a circle" to the parallel axiom.
Farkas Bolyai was the father of the mathematician János Bolyai .
Fonts
- Correspondence between Carl Friedrich Gauss and Wolfgang Bolyai . Franz Schmidt, Paul Stäckel (eds.); BG Teubner, Leipzig 1899 ( at the University of Michigan ; in the Internet archive ).
- Wolfgang and Johann Bolyai. Geometric studies . Paul Stäckel (ed.); BG Teubner, Leipzig and Berlin 1913
literature
- Constantin von Wurzbach : Bólyai, Wolfgang . In: Biographisches Lexikon des Kaiserthums Oesterreich . 2nd part. Publishing house of the typographic-literary-artistic establishment (L. C. Zamarski, C. Dittmarsch & Comp.), Vienna 1857, pp. 31–33 ( digitized version ).
- Franz Schmidt: From the life of two Hungarian mathematicians Johann and Wolfgang Bolyai von Bolya , Archive of Mathematics and Physics 48, 1868, pp. 217–228
- George Bruce Halsted : Bolyai Farkas. [Wolfgang Bolyai.] , The American Mathematical Monthly 3, January 1896, pp. 1–5 (English; with picture)
- Bólyai de Bólya Wolfgang. In: Austrian Biographical Lexicon 1815–1950 (ÖBL). Volume 1, Publishing House of the Austrian Academy of Sciences, Vienna 1957, p. 100.
- Tibor Weszely: Bolyai Farkas a matematikus , Tudományos Könyvkiadó, Bucharest 1974, OCLC 6915119 (Hungarian)
- Barna Szénássy: Bolyai Farkas (1775–1856) , Akadémiai Kiadó, Budapest 1975, OCLC 4639717 (Hungarian)
Web links
- Literature by and about Farkas Wolfgang Bolyai in the catalog of the German National Library
- John J. O'Connor, Edmund F. Robertson : Farkas Wolfgang Bolyai. In: MacTutor History of Mathematics archive .
- Boyai, Farkas (Wolfgang) by Dirk Struik in Complete Dictionary of Scientific Biography , Encyclopedia.com, 2008 (English)
personal data | |
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SURNAME | Bolyai, Farkas Wolfgang |
ALTERNATIVE NAMES | Bólyai, Farkas |
BRIEF DESCRIPTION | Hungarian mathematician |
DATE OF BIRTH | February 9, 1775 |
PLACE OF BIRTH | Buia , Transylvania |
DATE OF DEATH | November 20, 1856 |
Place of death | Marosvásárhely |