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plenary sessions where they discuss solutions, and sum up important thoughts. Students work on problems carefully built on each other. There are several topics running parallelly, and one topic spans several camps. The emphasis is on thinking, proving, and the connection between seemingly distant ideas. The camps are also an important scene of teacher training, as prospective teachers observe and help in the camps.
100:, friend of his mother introduced him to Paul Erdős, who invited him for lunch in a restaurant, and bombarded him with mathematical questions. Pósa finished the problems sooner than his soup, which impressed Erdős, who himself had been a child prodigy, and who supported young talents with much care and competence. That is how Pósa’s first paper was born, co-authored with Erdős (hence his
191:
of the
Research Group on Mathematics Education led by János Surányi. From 1982 to 1991 he had two experimental classes at Eötvös József Secondary School. His teaching materials written at that time were tested in several classes, and based on these he and colleagues have written a textbook series for the four years of secondary school.
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At the beginning of the 1970s he got involved with the school reform movement called complex teaching of mathematics led by Tamás Varga. Pósa worked on the reform of secondary mathematics teaching, while he taught at Radnóti Miklós
Secondary School from 1976 to 1980. From 1982 to 1989 he was a member
153:
He started his
Mathematics studies at ELTE University in 1966, and graduated in 1971. From 1971 to 1982 he worked at the Department of Mathematical Analysis at ELTE University, and he obtained a doctorate in 1983 with his dissertation about Hamiltonian circuits of random graphs. From 1984 to 2002 he
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Nevertheless, Pósa is best known for finding and teaching gifted students. Since 1988 he has been organizing his own week-end maths camps. There are several groups of 20-35 students, and each group has two or three camps a year. In a camp, students mostly work in groups of 2-4, but there are also
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Despite his significant results in mathematical research, he stopped research and devoted himself fully to
Mathematics Education. Erdős, who preferred him among all his protégés, expressed his regret that Pósa had stopped research with the typical Erdős style phrase "Pósa is dead."
582:
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P. Erdős, A. Hajnal, L. Pósa: Strong embeddings of graphs into colored graphs, Infinite and finite sets (Colloq. Keszthely 1973; dedicated to P. Erdős on his 60th birthday), Vol. I. Colloq. Math. Soc. J. Bolyai, Vol. 10, North
Holland, Amsterdam, 1975,
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He started teaching mathematics very early. He tutored his secondary school classmates, and during his first year at university he started teaching extracurricular courses at his former secondary school. His students at that time included:
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P. Erdős, A. W. Goodman, L. Pósa: The representation of a graph by set intersection, Can. J. Math. 18 (1966), 106-112.
72:'s favorite "child", he discovered theorems at the age of 13. Since 2002, he has worked at the Rényi Institute of the
567:
519:
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P. Erdős, L. Pósa: On the maximal number of disjoint circuits of a graph, Publ. Math. Debrecen, 9 (1962), 3-13.
389:
Gábos Adél - Halmos Mária - Pósa Lajos: Kombinatorika - Tanári útmutató (Műszaki Könyvkiadó, Budapest, 2000.)
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worked at the
Department of Computer Science at ELTE University, and since 2002 he has been a member of the
96:, his mother a mathematics teacher. He was a child prodigy. While still in elementary school, the educator
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Pósa Lajos: Variációk egy témára, Matematika-tanárképzés – matematikatanár-továbbképzés, 3 (1995), 41-59.
116:
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Pósa Lajos: Vegyes feladatok tanári útmutató 1. osztály (2. kiadás, Műszaki Könyvkiadó, Budapest, 1999.)
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Pósa Lajos: Vektorok és koordinátageometria - Megoldások, végeredmények (Műszaki Könyvkiadó, Budapest)
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Pósa Lajos: Hatványozás kiterjesztése és logaritmus-megoldások, végeredmények, Műszaki Könyvkiadó Kft.
572:
135:
112:
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Pósa Lajos: Vektorok és koordináta geometria - Tanári útmutató (Műszaki Könyvkiadó, Budapest, 2000.)
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Pósa Lajos: Analízis I. Differenciálszámítás. Tanári útmutató, 11. o., Műszaki Könyvkiadó Kft., 2000
120:
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P. Erdős, L. Pósa: On independent circuits contained in a graph, Can. J. Math. 17 (1965), 347-352.
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65:
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Pósa Lajos: Beszélgetés az új felvételi rendszer tervéről, Köznevelés, XXXV (1979) (20), 7-8.
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edges almost surely contains a
Hamiltonian circuit, thus affirming a conjecture of Erdős and
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Pósa Lajos - Halmos Mária - Gábos Adél: Kombinatorika (Műszaki Könyvkiadó, Budapest, 1998.)
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Pósa Lajos: Összefoglalás - Matematika, elmélet, feladatok (Műszaki Könyvkiadó, Budapest)
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Pósa Lajos: Vektorok és koordinátageometria - Feladatsorok (Műszaki Könyvkiadó, Budapest)
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Pósa Lajos: Hatványozás kiterjesztése és logaritmus-feladatsorok, Műszaki Könyvkiadó Kft.
310:
L. Pósa: Hamiltonian circuits in random graphs, Discrete
Mathematics, 14 (1976), 359-364.
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L. Pósa: A theorem concerning
Hamilton lines, MTA Mat. Kut. Int. Közl. 7 (1962), 225-226.
101:
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Pósa Lajos: Vegyes feladatok 2. - Tanári útmutató (Műszaki Könyvkiadó, Budapest, 2000.)
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Pósa Lajos: Véletlen gráfok
Hamilton körei, egyetemi doktori értekezés, Budapest, 1982.
131:
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L. Pósa: On the circuits of finite graphs, MTA Mat. Kut. Int. Közl. 8 (1964), 355-361.
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Pósa Lajos: Vegyes feladatok 1. Tanári útmutató 9. o., Műszaki Könyvkiadó Kft., 1998
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Pósa Lajos: Analízis II. Integrálszámítás (tanári útmutató), Műszaki Könyvkiadó Kft.
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Pósa Lajos: A prímszámok egy tulajdonságáról, Matematikai Lapok, 11 (1960), 124-128.
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Pósa Lajos: Analízis I. Differenciálszámítás, 11. o., Műszaki Könyvkiadó Kft., 2000
212:
64:, best known for his mathematics camps for gifted students. He is a winner of the
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Pósa Lajos: Összefoglalás - Matematika, megoldások (Műszaki Könyvkiadó, Budapest)
350:
Pósa Lajos: Sorozatok. Tanári útmutató 11.-12. o., Műszaki Könyvkiadó Kft., 1998
475:"Limit distribution for the existence of hamiltonian cycles in a random graph"
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Pósa Lajos: Összefoglalás. Algebra, függvények, Műszaki Könyvkiadó Kft., 1999
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Pósa Lajos: Összefoglalás. Algebra. Megoldások, Műszaki Könyvkiadó Kft., 1999
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Officer's Crosses of the Order of Merit of the Republic of Hungary (civil)
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Pósa Lajos: Vegyes feladatok 1. 7.-9. o., Műszaki Könyvkiadó Kft., 1998
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Pósa Lajos: Analízis II. - Integrálszámítás, Műszaki Könyvkiadó Kft.
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Beke Manó Prize I. degree by Bolyai János Mathematical Society, 1994
231:(also proved by A. D. Korshunov). The result was later improved by
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He went to the first special mathematics class of the country at
80:, at the Departments of Mathematical Analysis, Computer Science.
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MOL prize for Gifted Education (“Tehetséggondozásért” díj), 2008
518:. University of Waterloo Faculty of Mathematics. Archived from
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Officer’s Cross Order of Merit of the Republic of Hungary, 1998
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Pósa Lajos: Sorozatok 11.-12. o. Műszaki Könyvkiadó Kft., 1998
60:, and one of the most prominent mathematics educators of
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Prize for Children Support („Gyermekekért” díj), 1989
204:He gave sufficient conditions for the existence of
111:from 1962 to 1966, where his classmates included
588:International Mathematical Olympiad participants
92:, Hungary on 9 December 1947. His father was a
138:, Péter Major. He won the first prize on the
8:
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473:Komlós, János; Szemerédi, Endre (1983).
442:"Hamiltonian circuits in random graphs"
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563:21st-century Hungarian mathematicians
558:20th-century Hungarian mathematicians
427:"International Mathematical Olympiad"
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543:International Mathematical Olympiad
140:International Mathematical Olympiad
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269:Charles Simonyi Scholarship, 2000
530:on Pósa, in the Hungarian daily
109:Fazekas Mihály Secondary School
1:
74:Hungarian Academy of Sciences
492:10.1016/0012-365X(83)90021-3
459:10.1016/0012-365X(76)90068-6
156:Rényi Mathematical Institute
146:) and second prize in 1965 (
42:when mentioning individuals.
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512:"The Story of Louis Pósa"
48:(born 9 December 1947 in
78:Eötvös Loránd University
76:; earlier he was at the
56:working in the topic of
38:. This article uses
30:The native form of this
27:Hungarian mathematician
516:University of Waterloo
522:on 23 September 2010.
199:Mathematical research
166:Mathematics education
539:Lajos Pósa's results
479:Discrete Mathematics
446:Discrete Mathematics
440:Pósa, Lajos (1976).
136:Katalin Vesztergombi
206:Hamiltonian circuit
510:Honsberger, Ross.
406:Erdős–Pósa theorem
248:Erdős–Pósa theorem
40:Western name order
568:Combinatorialists
211:He proved that a
134:, István Berkes,
113:Miklós Laczkovich
52:) is a Hungarian
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485:(1): 55–63.
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102:Erdős number
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573:1947 births
124: [
98:Rózsa Péter
552:Categories
413:References
70:Paul Erdős
46:Lajos Pósa
36:Pósa Lajos
18:Louis Posa
324:Textbooks
237:Szemerédi
142:in 1966 (
84:Biography
394:See also
307:585-595.
144:Bulgaria
90:Budapest
50:Budapest
528:article
408:(1965).
402:(1962).
148:Germany
104:is 1).
94:chemist
62:Hungary
278:, 2011
233:Komlós
244:Erdős
242:With
229:Rényi
128:]
235:and
541:at
526:An
487:doi
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