Ron Aharoni ( he, רון אהרוני ) (born 1952) is an Israeli
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
, working in finite and infinite
combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...
. Aharoni is a professor at the
Technion – Israel Institute of Technology
The Technion – Israel Institute of Technology ( he, הטכניון – מכון טכנולוגי לישראל) is a public research university located in Haifa, Israel. Established in 1912 under the dominion of the Ottoman Empire, the Technion ...
, where he received his
Ph.D.
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
in mathematics in 1979. With
Nash-Williams and
Shelah Shelah may refer to:
* Shelah (son of Judah), a son of Judah according to the Bible
* Shelah (name), a Hebrew personal name
* Shlach, the 37th weekly Torah portion (parshah) in the annual Jewish cycle of Torah reading
* Salih, a prophet described ...
he generalized
Hall's marriage theorem
In mathematics, Hall's marriage theorem, proved by , is a theorem with two equivalent formulations:
* The combinatorial formulation deals with a collection of finite sets. It gives a necessary and sufficient condition for being able to select a di ...
by obtaining the right transfinite conditions for infinite
bipartite graph
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets U and V, that is every edge connects a vertex in U to one in V. Vertex sets U and V are ...
s. He subsequently proved the appropriate versions of the
Kőnig theorem and the
Menger theorem
In the mathematical discipline of graph theory, Menger's theorem says that in a finite graph, the size of a minimum cut set is equal to the maximum number of disjoint paths that can be found between any pair of vertices.
Proved by Karl Menger in ...
for
infinite graph
This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or vertices connected in pairs by lines or edges.
Symbols
A
B
...
s (the latter with
Eli Berger
Eli most commonly refers to:
* Eli (name), a given name, nickname and surname
* Eli (biblical figure)
Eli or ELI may also refer to:
Film
* ''Eli'' (2015 film), a Tamil film
* ''Eli'' (2019 film), an American horror film
Music
* ''Eli'' (Jan ...
).
Aharoni is the author of several nonspecialist books; the most successful is ''
Arithmetic for Parents'', a book helping parents and elementary school teachers in teaching basic mathematics. He also wrote a book on the connections between ''Mathematics, poetry and beauty'' and on philosophy, ''The Cat That is not There''. His book, "Man detaches meaning", is on a mechanism common to jokes and poetry. His last to date book i
Circularity: A Common Secret to Paradoxes, Scientific Revolutions and Humor which binds together mathematics, philosophy and the secrets of humor.
Books
1.
Arithmetic for Parents, A book for grownups on children's mathematics, Schocken Press 2004
2.
Mathematics, poetry and beauty (in Hebrew), Hakibutz Hameuchad 2008.
3.
The cat that is not there
''The'' () is a grammatical article in English, denoting persons or things already mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the m ...
- a non-philosophical book on philosophy, Magness Press (The Hebrew University Publishing House), 2009.
4.
Man detaches meaning
A man is an adult male human. Prior to adulthood, a male human is referred to as a boy (a male child or adolescent). Like most other male mammals, a man's genome usually inherits an X chromosome from the mother and a Y chromos ...
- poems, jokes and in between, Hakibutz Hameuchad 2011.
5
Mathematics, Poetry and Beauty (in English) World Scientific Publishing 2014.
6
Arithmetic for Parents (Revised Edition) World Scientific Publishing 2015
7
Circularity: A Common Secret to Paradoxes, Scientific Revolutions and Humor World Scientific Publishing 2016.
References
External links
Vicious circles -- confusing, instructive, amusing?
*Ron Aharoni
Address at the British Mathematical Colloquium, Birmingham, 2003
*Ron Aharoni
The Cat That is Not There
Magnes Press, December 2009.
*Ron Aharoni: The cat that is not there, a summar
1952 births
Living people
Brandeis University alumni
Combinatorialists
Israeli mathematicians
Israeli Jews
Scientists from Haifa
Technion – Israel Institute of Technology alumni
Academic staff of Technion – Israel Institute of Technology
{{asia-mathematician-stub