János Aczél (mathematician) explained
János Dezső Aczél (in Hungarian ˈɒt͡seːl/; 26 December 1924 – 1 January 2020),[1] also known as John Aczel,[2] 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.[3] He joined the University of Waterloo faculty in 1965, eventually becoming Distinguished Professor in the Department of Pure Mathematics.[4]
He was the founder of the journal Aequationes Mathematicae, first published in 1968, and remained its honorary editor-in-chief.[5]
Awards and honors
Aczél held honorary degrees from the University of Karlsruhe, the University of Graz, and the University of Silesia in Katowice.[3] In 1971, he was elected a fellow of the Royal Society of Canada.[6] He was the 1988 winner of the Santiago Ramón y Cajal Medal.[3] In 1990, he became an external member of the Hungarian Academy of Sciences,[7] 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.. Quasigroups, nets, and nomograms. Advances in Mathematics. 1. 3. 1965. 383–450. 10.1016/0001-8708(65)90042-3. free.
- 10.1090/S0273-0979-1989-15749-2. The state of the second part of Hilbert's fifth problem . 1989 . Aczél . J. . Bulletin of the American Mathematical Society . 20 . 2 . 153–163 . free .
- 10.1090/S0002-9939-00-05545-3. Solution of a functional equation arising in an axiomatization of the utility of binary gambles . 2000 . Aczél . János . Maksa . Gyula . Páles . Zsolt . Proceedings of the American Mathematical Society . 129 . 2 . 483–493 . 31566241 . free .
- 10.1090/S0002-9939-05-08039-1. free. Extension of a generalized Pexider equation . 2005 . Aczél . János . . 133 . 11 . 3227–3233 .
- 10.1287/deca.1100.0177. The Role of Some Functional Equations in Decision Analysis . 2010 . Abbas . Ali E. . Aczél . János . Decision Analysis . 7 . 2 . 215–228 .
Books
Aczél was the author or co-author of:
He was the editor of:
External links
- Aczél's homepage at the Hungarian Academy of Sciences.
Notes and References
- https://uwaterloo.ca/pure-mathematics/news/we-remember-distinguished-professor-emeritus-janos-aczel We remember Distinguished Professor Emeritus János Aczel
- News: Obituary. John Aczel. Ottawa Citizen. January 11, 2020.
- http://personal.anderson.ucla.edu/marschak.colloquium/1998-99/abstracts/29jan99.htm Biography as a speaker at the Marschak Colloquium at UCLA
- https://math.uwaterloo.ca/pure-mathematics/officers-and-administration/emeritusadjunct Emeritus/Adjunct faculty
- https://www.springer.com/birkhauser/mathematics/journal/10?detailsPage=editorialBoard Editorial board of Aequationes Mathematicae
- http://rsc-src.ca/en/search-fellows RSC Fellow listing
- http://mta.hu/oldmta_en/?pid=859&LANG=e&TID=0 Member listing
- http://netrix.mta.nsd.sztaki.hu/mta_hirei/fohajtas-ot-kiemelkedo-magyar-matematikus-teljesitmenye-elott-a-magyar-tudomanyos-akademian-134639/ Tribute to the achievements of five outstanding Hungarian mathematicians
- http://mta.hu/news_and_views/janos-aczels-latest-honour-68421/ János Aczél's Latest Honour
- http://ipmu.lip6.fr/?KampeDeFerietAward Kampé de Fériet Award
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- Review of Funktionalgleichungen der Theorie der geometrischen Objekte by Albert Nijenhuis, .
- Review of Vorlesungen über Funktionalgleichungen und ihre Anwendungen by Marek Kuczma, .
- Review of Lectures on functional equations and their applications by M. Hosszú, .
- Review of Lectures on Functional Equations and their Applications by Frank Hahn (1968), American Mathematical Monthly 75 (3): 314, .
- 10.1126/science.155.3767.1234-b. 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. . 1967 . Hammer . Preston C. . Science . 155 . 3767 . 1234–1235 . 239821881 . p. 1235
- 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, .
- Review of A short course on functional equations by Dale K. Osborne, .
- Review of Functional equations in several variables by K. Lajkó, .