János Aczél (mathematician)
János Aczél | |
---|---|
functional equations information theory | |
Institutions | University of Waterloo University of Cologne University of Debrecen University of Miskolc University of Szeged |
János Dezső Aczél
Professional career
Aczél earned a doctorate in mathematical analysis from the
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
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 six days after his 95th birthday on 1 January 2020.[11][12][13]
Selected publications
Articles
- Aczél, J. (1965). "Quasigroups, nets, and nomograms" (PDF). .
- Aczél, J. (1989). "The state of the second part of Hilbert's fifth problem". Bulletin of the American Mathematical Society. 20 (2): 153–163. .
- 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. S2CID 31566241.
- Aczél, János (2005). "Extension of a generalized Pexider equation". .
- Abbas, Ali E.; Aczél, János (2010). "The Role of Some Functional Equations in Decision Analysis". Decision Analysis. 7 (2): 215–228. .
Books
Aczél was the author or co-author of:
- Aczél, J.;
- Aczél, J. (1966), Lectures on functional equations and their applications, Mathematics in Science and Engineering, vol. 19, New York: Academic Press,
- 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],
- Aczél, J. (1987), A short course on functional equations, Theory and Decision Library. Series B: Mathematical and Statistical Methods, Dordrecht: D. Reidel Publishing Co., ISBN 90-277-2376-1.[20]
- Aczél, J.; ISBN 0-521-35276-2.[21]
He was the editor of:
- Aczél, J., ed. (30 November 2001). Functional Equations: History, Applications and Theory. Springer. ISBN 9781402003295. (1st edition 1984)
- Aczél, J., ed. (6 December 2012). Aggregating clones, colors, equations, iterates, numbers, and tiles. Birkhäuser. ISBN 9783034890960. (1st edition 1995)
References
- ^ a b Member listing, Hungarian Academy of Sciences, accessed 25 January 2013.
- ^ We remember Distinguished Professor Emeritus János Aczel, University of Waterloo
- ^ "Obituary. John Aczel". Ottawa Citizen. 11 January 2020.
- ^ a b c Biography as a speaker at the Marschak Colloquium at UCLA, 1999, accessed 25 January 2013.
- ^ Emeritus/Adjunct faculty, Pure Mathematics, Waterloo, accessed 25 January 2013.
- ^ Editorial board of Aequationes Mathematicae, accessed 25 January 2013.
- ^ RSC Fellow listing, accessed 25 January 2013.
- ^ Tribute to the achievements of five outstanding Hungarian mathematicians Department of Mathematical Sciences of the Hungarian Academy of Sciences
- ^ János Aczél's Latest Honour, Hungarian Academy of Sciences, accessed 25 January 2013.
- ^ Kampé de Fériet Award, IPMU, accessed 25 January 2013.
- S2CID 14749650.
- S2CID 189829301.
- MR 2736935.
- MR0133763.
- MR0124647.
- MR0208210.
- doi:10.2307/2314998.
- .
- MR0875412.
- MR1004465.
External links
- Aczél's homepage at the Hungarian Academy of Sciences.
- János Aczél at the Mathematics Genealogy Project
- Author profile in the database zbMATH