George Grätzer

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George A. Kralove (* 2. August 1936 in Budapest as György Grätzer ) is a Hungarian - Canadian mathematician .

life and work

His father József Grätzer was a well-known writer of puzzles in Hungary. Grätzer studied at the Eötvös-Loránd University with the degree in 1959 and then went to the Mathematical Institute of the Hungarian Academy of Sciences, where he received his doctorate in 1960 under László Fuchs ( Standard Ideals ). In 1963 he emigrated from Hungary and became a professor at Pennsylvania State University . Since 1966 he has been a professor at the University of Manitoba . There he is a Distinguished Professor.

In 1963, with E. Tamás Schmidt, he proved a sentence in association theory named after both . Both published around 65 joint works. In addition to books on universal algebra and association theory, Grätzer published books on LaTeX .

In 1970 he founded the journal Algebra Universalis and was its editor for a long time.

In 1973 he became a Fellow of the Royal Society of Canada and in 1997 a foreign member of the Hungarian Academy of Sciences. In 1971 he received the Steacie Prize of the Canadian Research Council, the Jeffery Williams Prize in 1978 and the Béla Szőkefalvi Nagy Medal in 2003 . He is an honorary doctorate from La Trobe University in Melbourne (2005).

He is married and has two sons, including the Canadian health expert David Gratzer (* 1974).

He received prizes for chess compositions.

Fonts

  • Elmesport egy esztendöre, Budapest 1959, 2nd edition 2008 (a book with brain teasers)
    • English edition: Train Your Brain: A Year's Worth of Puzzles, CRC Press 2010
    • German edition: Thinking exercise for a year. 140 mathematical puzzles from everyday life, Springer spectrum 2010
  • Universal Algebra, Van Nostrand 1968, 2nd edition Springer 1979
  • Lattice Theory, Freeman 1971, Dover reprinted 2008
  • with T. Grätzer: FAST BASIC: Beyond TRS-80 BASIC, Wiley 1982
  • General Lattice Theory, Academic Press 1978, 2nd edition Birkhäuser 2003
  • with D. Clark: MAX reference manual, Winnipeg 1984
  • with D. Clark: Conversational MAX. Tutorial Manual, Winnipeg 1985
  • The Congruences of a Finite Lattice, A Proof-by-Picture Approach, Birkhäuser 2006
  • Lattice Theory: Foundation, Birkhäuser 2010
  • with Friedrich Wehrung: Lattice Theory: Special Topics and Applications, Birkhäuser 2016

Books about TeX:

  • The new standard LaTeX, Personal TeX Inc. 1995.
  • First Steps in LaTeX, Birkhäuser 1999
  • Math into LaTeX, Birkhäuser 1993, 3rd edition 2000
  • PCTeX: Quick Start, Personal TeX, Inc., Mill Valley CA, 2000, 2nd edition 2003.
  • More Math into LaTeX, 4th edition, Springer 2007

literature

  • Gábor Czédli: The mathematics of G. Grätzer and ET Schmidt, Algebra Universalis, Volume 59, 2008, pp. 11-30

Web links

Individual evidence

  1. George Grätzer in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Grätzer, Schmidt, Characterizations of congruence lattices of abstract algebras, Acta Sci. Math. (Szeged), Volume 24, 1963, pp. 34-59