János Aczél (mathematician)

The native form of this personal name is Aczél János. This article uses Western name order when mentioning individuals.
János Aczél
Aczél in 1970
Born
János Dezső Aczél

(1924-12-26)26 December 1924
Budapest, Hungary
Died1 January 2020(2020-01-01) (aged 95)
Ottawa, Ontario, Canada
NationalityHungarian
Canadian
SpouseZsuzsanna Kende
Children2
Scientific career
Fieldsfunctional equations
information theory
InstitutionsUniversity of Waterloo
University of Cologne
University of Debrecen
University of Miskolc
University of Szeged

János Dezső Aczél FRSC (Hungarian: [ˈɒt͡seːl]; 26 December 1924 – 1 January 2020),[1][2] also known as John Aczel,[3] was a Hungarian-Canadian mathematician, who specialized in functional equations and information theory.

Professional career

Aczél earned a doctorate in mathematical analysis from the University of Budapest, and held positions at the University of Cologne, Kossuth University, University of Miskolc, and University of Szeged.[4] He joined the University of Waterloo faculty in 1965, eventually becoming Distinguished Professor in the Department of Pure Mathematics.[5]

He was the founder of the journal Aequationes Mathematicae, first published in 1968, and remained its honorary editor-in-chief.[6]

Awards and honors

Aczél held honorary degrees from the University of Karlsruhe, the University of Graz, and the University of Silesia in Katowice.[4] In 1971, he was elected a fellow of the Royal Society of Canada.[7] He was the 1988 winner of the Santiago Ramón y Cajal Medal.[4] In 1990, he became an external member of the Hungarian Academy of Sciences,[1] and, in 2004, he was honored by the academy as one of the "big five" most distinguished Hungarian mathematicians. The other honorees were John Horvath, Steven Gaal, Ákos Császár and László Fuchs.[8] In 2008, he became an honorary member of the Hamburg Mathematical Society, the oldest active mathematical society in the world.[9]

In 2004, he won the Kampé de Fériet Award of the annual Information Processing and Management of Uncertainty conference, "for his pioneering work on the theory of functional equations, with applications in many fields, such as information measures, index numbers, group decision making, aggregation, production functions, laws of science, theory of measurement and utility theory."[10]

Issues of the journal Aequationes Mathematicae were dedicated to Aczél in 1999, 2005, and 2010, in honor of his 75th, 80th, and 85th birthdays. He died at the age of 95 on 1 January 2020.[11][12][13]

Selected publications

Articles

  • Aczél, J. (1965). "Quasigroups, nets, and nomograms" (PDF). Advances in Mathematics. 1 (3): 383–450. doi:10.1016/0001-8708(65)90042-3.
  • Aczél, J. (1989). "The state of the second part of Hilbert's fifth problem". Bulletin of the American Mathematical Society. 20 (2): 153–163. doi:10.1090/S0273-0979-1989-15749-2.
  • Aczél, János; Maksa, Gyula; Páles, Zsolt (2000). "Solution of a functional equation arising in an axiomatization of the utility of binary gambles". Proceedings of the American Mathematical Society. 129 (2): 483–493. doi:10.1090/S0002-9939-00-05545-3. S2CID 31566241.
  • Aczél, János (2005). "Extension of a generalized Pexider equation". Proceedings of the American Mathematical Society. 133 (11): 3227–3233. doi:10.1090/S0002-9939-05-08039-1.
  • Abbas, Ali E.; Aczél, János (2010). "The Role of Some Functional Equations in Decision Analysis". Decision Analysis. 7 (2): 215–228. doi:10.1287/deca.1100.0177.

Books

Aczél was the author or co-author of:

  • Aczél, J.; Gołąb, S. (1960), Funktionalgleichungen der Theorie der geometrischen Objekte, Polska Akademia Nauk. Monografie Matematyczne, Tom 39, Państwowe Wydawnictwo Naukowe, Warsaw, MR 0133763.[14]
  • Aczél, J. (1966), Lectures on functional equations and their applications, Mathematics in Science and Engineering, vol. 19, New York: Academic Press, MR 0208210. Previously published in German as Vorlesungen über Funktionalgleichungen und ihre Anwendungen (Birkhäuser, 1961).[15][16][17][18]
  • Aczél, J.; Daróczy, Z. (1975), On measures of information and their characterizations, Mathematics in Science and Engineering, vol. 115, New York: Academic Press [Harcourt Brace Jovanovich Publishers], MR 0689178.[19]
  • Aczél, J. (1987), A short course on functional equations, Theory and Decision Library. Series B: Mathematical and Statistical Methods, Dordrecht: D. Reidel Publishing Co., doi:10.1007/978-94-009-3749-9, ISBN 90-277-2376-1.[20]
  • Aczél, J.; Dhombres, J. (1989), Functional equations in several variables, Encyclopedia of Mathematics and its Applications, vol. 31, Cambridge: Cambridge University Press, doi:10.1017/CBO9781139086578, ISBN 0-521-35276-2.[21]

He was the editor of:

References

  1. ^ a b Member listing, Hungarian Academy of Sciences, accessed 25 January 2013.
  2. ^ We remember Distinguished Professor Emeritus János Aczel, University of Waterloo
  3. ^ "Obituary. John Aczel". Ottawa Citizen. 11 January 2020.
  4. ^ a b c Biography as a speaker at the Marschak Colloquium at UCLA, 1999, accessed 25 January 2013.
  5. ^ Emeritus/Adjunct faculty, Pure Mathematics, Waterloo, accessed 25 January 2013.
  6. ^ Editorial board of Aequationes Mathematicae, accessed 25 January 2013.
  7. ^ RSC Fellow listing, accessed 25 January 2013.
  8. ^ Tribute to the achievements of five outstanding Hungarian mathematicians Department of Mathematical Sciences of the Hungarian Academy of Sciences
  9. ^ János Aczél's Latest Honour, Hungarian Academy of Sciences, accessed 25 January 2013.
  10. ^ Kampé de Fériet Award, IPMU, accessed 25 January 2013.
  11. ^ Luce, R. Duncan (1999), "Personal reflections on an unintentional behavioral scientist", Aequationes Mathematicae, 58 (1–2): 3–15, doi:10.1007/s000100050088, S2CID 14749650.
  12. ^ Ebanks, Bruce; Ng, Che Tat (2005), "Tribute to a distinguished Professor: János Aczél at 80", Aequationes Mathematicae, 69 (1–2): 1–5, doi:10.1007/s00010-004-2769-z, MR 2126180, S2CID 189829301.
  13. ^ Ng, Che Tat (2010), "Tribute to a distinguished Professor János Aczél at 85", Aequationes Mathematicae, 80 (1–2): 1–4, doi:10.1007/s00010-010-0052-z, MR 2736935.
  14. ^ Review of Funktionalgleichungen der Theorie der geometrischen Objekte by Albert Nijenhuis, MR0133763.
  15. ^ Review of Vorlesungen über Funktionalgleichungen und ihre Anwendungen by Marek Kuczma, MR0124647.
  16. ^ Review of Lectures on functional equations and their applications by M. Hosszú, MR0208210.
  17. ^ Review of Lectures on Functional Equations and their Applications by Frank Hahn (1968), American Mathematical Monthly 75 (3): 314, doi:10.2307/2314998.
  18. ^ Hammer, Preston C. (1967). "Review of Functions: Lectures on Functional Equations and Their Applications by J. Aczél. Translated from the German edition (Basel, 1961) by Scripta Technica. Hansjorg Oser, Translation ed". Science. 155 (3767): 1234–1235. doi:10.1126/science.155.3767.1234-b. S2CID 239821881. p. 1235
  19. ^ Review of On measures of information and their characterizations by J. Kampé de Fériet (1977), Bulletin of the American Mathematical Society 83 (2): 192–196, doi:10.1090/S0002-9904-1977-14257-2.
  20. ^ Review of A short course on functional equations by Dale K. Osborne, MR0875412.
  21. ^ Review of Functional equations in several variables by K. Lajkó, MR1004465.

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