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- Nikolaus_Hofreiter abstract "Nikolaus Hofreiter (born 8 May 1904 in Linz, Upper Austria, Austria; died 23 January 1990) was an Austrian mathematician who worked mainly in number theory.Hofreiter went to school in Linz and studied from 1923 in Vienna with Hans Hahn, Wilhelm Wirtinger, Emil Müller at the Technische Universität Wien on descriptive geometry, and Philipp Furtwängler, with whom he obtained his doctorate in 1927 on the reduction theory of quadratic forms (Eine neue Reduktionstheorie für definite quadratische Formen). In 1928 he passed the Lehramtsprüfung examination and completed the probationary year as a teacher in Vienna, but then returned to the university (first as a scientific assistant at the TU Vienna) where in 1929 he was assistant to Furtwängler and then habilitated in 1933. He was even then an excellent teacher, and gave lectures not only in Vienna but also in Graz.His dissertation and habilitation thesis dealt with the reduction theory of quadratic forms, which Gauss, Charles Hermite and Hermann Minkowski had worked on previously. Hofreiter treated the case of four variables of a problem of Minkowski (Minkowski had solved the problem for two variables, while Robert Remak had solved it for three variables) on the product of inhomogeneous linear forms and achieved significant progress. The complete solution was only found 15 years later (and the general case is still unresolved). In 1934, he proved the existence of infinitely many real quadratic number fields without a Euclidean algorithm. In addition, he dealt with the geometry of numbers and Diophantine approximation.In 1939, he was an associate professor and married the mathematician Margarete Dostalík (1912-2013). She was also a student of Furtwängler and did important work on algebraic equations and was working as a meteorologist in Berlin at the time. During the Second World War, he moved from Vienna and was a little later at the Hermann Goering Aviation Research Institute in Braunschweig, where his colleagues Wolfgang Gröbner from Vienna, Bernhard Baule from Graz, Ernst Peschl and Josef Laub were already working. Through his work there, together with Gröbner, he started a table of integrals. The first volume, on indefinite integrals, was published by Notdruck (Braunschweig) in 1944 and by Springer in 1949. In 1950, the second volume containing definite integrals appeared. Both parts were widely available through to the 5th 1973/75 edition. His wife, Margaret, assisted with the calculations, as well as the preparation and review of both volumes.In addition to their work at the Aviation Research Institute, Gröbner and Hofreiter continued to give lectures and seminars at the Technical University of Braunschweig. After the war he returned to Vienna in 1946 and continued to expand on his number theory work. He also worked on linear optimization and numerical mathematics. In 1954, he became a professor, and in 1963/4 became Dean of the Faculty, and in 1965/6, he was Rector of the University of Vienna. In 1974, he retired.In 1970, Hofreiter became a corresponding member of the Austrian Academy of Sciences. He received the Austrian Cross of Honour for Science and Art, 1st class in 1965, the Gold Medal of Honour of the City of Vienna, the Grand Decoration of Honour in Silver for Services to the Republic of Austria in 1977, the Commander's Cross of the Order of St. Gregory the Great, the Ring of Honour of the Austrian Mathematical Society. He was an honorary senator of the University of Linz.His doctoral students included Edmund Hlawka, Peter Gruber and Leopold Schmetterer. He has over 1500 academic descendants, primarily through Hlawka.".
- Nikolaus_Hofreiter birthDate "1904-05-08".
- Nikolaus_Hofreiter birthPlace Austria.
- Nikolaus_Hofreiter birthPlace Linz.
- Nikolaus_Hofreiter birthPlace Upper_Austria.
- Nikolaus_Hofreiter birthYear "1904".
- Nikolaus_Hofreiter deathDate "1990-01-23".
- Nikolaus_Hofreiter deathYear "1990".
- Nikolaus_Hofreiter doctoralAdvisor Philipp_Furtwängler.
- Nikolaus_Hofreiter doctoralStudent Edmund_Hlawka.
- Nikolaus_Hofreiter doctoralStudent Leopold_Schmetterer.
- Nikolaus_Hofreiter doctoralStudent Peter_M._Gruber.
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- Nikolaus_Hofreiter wikiPageWikiLink Academic_genealogy.
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- Nikolaus_Hofreiter wikiPageWikiLink Austria.
- Nikolaus_Hofreiter wikiPageWikiLink Austrian_Academy_of_Sciences.
- Nikolaus_Hofreiter wikiPageWikiLink Austrian_Decoration_for_Science_and_Art.
- Nikolaus_Hofreiter wikiPageWikiLink Austrian_Mathematical_Society.
- Nikolaus_Hofreiter wikiPageWikiLink Berlin.
- Nikolaus_Hofreiter wikiPageWikiLink Bernhard_Baule.
- Nikolaus_Hofreiter wikiPageWikiLink Braunschweig.
- Nikolaus_Hofreiter wikiPageWikiLink Carl_Friedrich_Gauss.
- Nikolaus_Hofreiter wikiPageWikiLink Category:1904_births.
- Nikolaus_Hofreiter wikiPageWikiLink Category:1990_deaths.
- Nikolaus_Hofreiter wikiPageWikiLink Category:20th-century_mathematicians.
- Nikolaus_Hofreiter wikiPageWikiLink Category:Austrian_mathematicians.
- Nikolaus_Hofreiter wikiPageWikiLink Category:Braunschweig_University_of_Technology_faculty.
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- Nikolaus_Hofreiter wikiPageWikiLink Category:Number_theorists.
- Nikolaus_Hofreiter wikiPageWikiLink Category:People_from_Linz.
- Nikolaus_Hofreiter wikiPageWikiLink Category:Recipients_of_the_Austrian_Cross_of_Honour_for_Science_and_Art,_1st_class.
- Nikolaus_Hofreiter wikiPageWikiLink Category:Recipients_of_the_Grand_Decoration_for_Services_to_the_Republic_of_Austria.
- Nikolaus_Hofreiter wikiPageWikiLink Category:University_of_Vienna_faculty.
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- Nikolaus_Hofreiter wikiPageWikiLink Charles_Hermite.
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- Nikolaus_Hofreiter wikiPageWikiLink Diophantine_approximation.
- Nikolaus_Hofreiter wikiPageWikiLink Edmund_Hlawka.
- Nikolaus_Hofreiter wikiPageWikiLink Ernst_Peschl.
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- Nikolaus_Hofreiter wikiPageWikiLink Graz.
- Nikolaus_Hofreiter wikiPageWikiLink Hans_Hahn_(mathematician).
- Nikolaus_Hofreiter wikiPageWikiLink Hermann_Minkowski.
- Nikolaus_Hofreiter wikiPageWikiLink Integral.
- Nikolaus_Hofreiter wikiPageWikiLink Johannes_Kepler_University_Linz.
- Nikolaus_Hofreiter wikiPageWikiLink Josef_Laub.
- Nikolaus_Hofreiter wikiPageWikiLink Leopold_Schmetterer.
- Nikolaus_Hofreiter wikiPageWikiLink Linear_programming.
- Nikolaus_Hofreiter wikiPageWikiLink Linz.
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- Nikolaus_Hofreiter wikiPageWikiLink Number_theory.
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- Nikolaus_Hofreiter wikiPageWikiLink Order_of_St._Gregory_the_Great.
- Nikolaus_Hofreiter wikiPageWikiLink Peter_M._Gruber.
- Nikolaus_Hofreiter wikiPageWikiLink Philipp_Furtwängler.
- Nikolaus_Hofreiter wikiPageWikiLink Quadratic_form.
- Nikolaus_Hofreiter wikiPageWikiLink Robert_Remak.
- Nikolaus_Hofreiter wikiPageWikiLink University_of_Vienna.
- Nikolaus_Hofreiter wikiPageWikiLink Upper_Austria.
- Nikolaus_Hofreiter wikiPageWikiLink Vienna.
- Nikolaus_Hofreiter wikiPageWikiLink Vienna_University_of_Technology.
- Nikolaus_Hofreiter wikiPageWikiLink Wilhelm_Wirtinger.
- Nikolaus_Hofreiter wikiPageWikiLink Wolfgang_Gröbner.
- Nikolaus_Hofreiter wikiPageWikiLinkText "Hofreiter, Nikolaus".
- Nikolaus_Hofreiter wikiPageWikiLinkText "Nikolaus Hofreiter".
- Nikolaus_Hofreiter birthDate "1904-05-08".
- Nikolaus_Hofreiter birthPlace Austria.
- Nikolaus_Hofreiter birthPlace Linz.
- Nikolaus_Hofreiter birthPlace Upper_Austria.
- Nikolaus_Hofreiter dateOfBirth "1904-05-08".
- Nikolaus_Hofreiter dateOfDeath "1990-01-23".
- Nikolaus_Hofreiter deathDate "1990-01-23".
- Nikolaus_Hofreiter doctoralAdvisor Philipp_Furtwängler.
- Nikolaus_Hofreiter doctoralStudents Edmund_Hlawka.
- Nikolaus_Hofreiter doctoralStudents Leopold_Schmetterer.
- Nikolaus_Hofreiter doctoralStudents Peter_M._Gruber.
- Nikolaus_Hofreiter name "Hofreiter, Nikolaus".
- Nikolaus_Hofreiter name "Nikolaus, Hofreiter".
- Nikolaus_Hofreiter occupation Mathematician.
- Nikolaus_Hofreiter placeOfBirth Austria.
- Nikolaus_Hofreiter placeOfBirth Linz.
- Nikolaus_Hofreiter placeOfBirth Upper_Austria.
- Nikolaus_Hofreiter shortDescription "Austrian mathematician".
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- Nikolaus_Hofreiter description "Austrian mathematician".
- Nikolaus_Hofreiter description "Austrian mathematician".