Richard K. Guy

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[ Richard K. Guy [1] Richard Kenneth Guy, (September 30, 1916 - March 9, 2020 [2])

was a British Canadian mathematician, and Professor Emeritus in the Department of Mathematics at the University of Calgary. His research interests included combinatorial games [3], enumerative combinatorics, combinatorial geometry, number theory and graph theory [4]. He studied mathematics at the University of Cambridge, from 1941 to 1949 he was high school teacher at Goldsmiths College and then taught at the University of Malaya, from 1956 at Indian Institute of Technology in New Delhi, and since 1962 at the University of Calgary [5].

Guy was chess player and composer of chess endgame studies, and was along with John Roycroft and Hugh Blandford co-inventor of the Guy-Blandford-Roycroft code for classifying studies. In 1939, he started the Stockport Grammar School Chess Club [6], and served as endgame study editor for the British Chess Magazine from 1948 to 1951 [7].

Le Problème#

Le Problème, 1938 [8] and 1939 [9] by Richard K. Guy, white to move wins :

8/8/8/3BB2K/8/8/pp1p4/k1b3R1 w - -

8/1p1p1p2/pP1P1P2/8/k1p5/2P1p1pP/2P1P1P1/4K3 w - -

Selected Publications#

[10] [11]

1956 …#

• Richard K. Guy, Cedric A. B. Smith (1956). The G-values of various games. Proceedings of the Cambridge Philosophical Society, Vol. 52 [12] [13]
• Richard K. Guy (1958). Two theorems on partitions. Mathematical Gazette, Vol. 42

1960 …#

• Richard K. Guy (1960). A combinatorial problem. Nabla, Vol. 7 [14]
• Richard K. Guy, Frank Harary (1967). On the Möbius ladders. Canadian Mathematical Bulletin, Vol. 10 [15]
• Richard K. Guy (1967). A coarseness conjecture of Erdős. Journal of Combinatorial Theory, Vol. 3
• Richard K. Guy, Eric C. Milner (1968). Graphs defined by coverings of a set. Acta Mathematica Hungarica, Vol. 19
• Richard K. Guy, Patrick A. Kelly (1968). The no-three-in-line problem. Canadian Mathematical Bulletin, Vol. 11
• Richard K. Guy (1969). Decline and fall of Zarankiewicz’s Theorem. Proof Techniques in Graph Theory edited by Frank Harary [16]

1970 …#

• Paul Erdős, Richard K. Guy (1970). Distinct distances between lattice points. Elemente der Mathematik, Vol. 25
• John Selfridge, Richard K. Guy (1971). Primality testing with application to small machines. University of Calgary
• Paul Erdős, Richard K. Guy (1973). Crossing number problems. American Mathematical Monthly, Vol. 80 [17]
• Richard K. Guy, Richard J. Nowakowski (1975). Discovering primes with Euclid. Delta, Waukesha, Vol. 5, No. 2
• Richard K. Guy (1976). How to factor a number. Congressus Numerantium, No. XVI
• Richard K. Guy, Gerhard Ringel (1976). Triangular imbedding of Kn − K6. Journal of Combinatorial Theory, Series B, Vol. 21, No. 2 [18]

1980 …#

• Richard K. Guy (1981). Unsolved Problems in Number Theory. Springer
• Paul Erdős, Richard K. Guy, John Selfridge (1982). Another property of 239 and some related question. Congressus Numerantium, No. 34
• Richard K. Guy (1982). John Horton Conway: mathematical magus. The Two-Year College Mathematics Journal, 13.5
• Elwyn Berlekamp, John H. Conway, Richard K. Guy (1982). Winning Ways for your Mathematical Plays. Vol. 1, 1st edition, Academic Press
• Elwyn Berlekamp, John H. Conway, Richard K. Guy (1982). Winning Ways for your Mathematical Plays. Vol. 2, 1st edition, Academic Press [19]
• Béla Bollobás, Richard K. Guy (1983). Equitable and Proportional Coloring of Trees. Journal of Combinatorial Theory, Series B, Vol. 34, No. 2
• Richard K. Guy (1983). Conway’s prime producing machine. Mathematics Magazine, Vol. 56, No. 1
• Richard K. Guy (1988). The Strong Law of Small Numbers. American Mathematical Monthly, Vol. 95, No. 8
• Richard K. Guy (1989). Fair Game: How to Play Impartial Combinatorial Games. Exploration in Math Series, Comap

1990 …#

• Richard K. Guy (1991). Mathematics from Fun & Fun from Mathematics: An Informal Autobiographical History of Combinatorial Games. in John H. Ewing, F. W. Gehring (eds) PAUL HALMOS Celebrating 50 Years of Mathematics. Springer [20]
• Richard K. Guy, John H. Conway, Elwyn Berlekamp, Vera Pless, Aviezri Fraenkel, Richard J. Nowakowski (1991). Combinatorial Games. Proceedings of Symposia in Applied Mathematics, No. 43
• Lee Sallows, Martin Gardner, Richard K. Guy, Donald Knuth (1991). Serial Isogons of 90 Degrees. Mathematics Magazine, Vol. 64, No. 5
• Richard K. Guy (1994). Unsolved Problems in Number Theory. 2nd edition, Springer
• John H. Conway, Richard K. Guy (1996). The Book of Numbers. Springer
• Richard K. Guy, John Roycroft, Kenneth Solja (1996). Richard Guy’s Chess Endgame Studies. Prime Actions

2000 …#

• Richard K. Guy (2001). Aviezri Fraenkel and Combinatorial Games. Electronic Journal of Combinatorics Vol. 8, No. 2 pdf
• Elwyn Berlekamp, John H. Conway, Richard K. Guy (2001). Winning Ways for your Mathematical Plays. Vol. 1, 2nd edition, A K Peters Ltd.
• Richard K. Guy, Richard J. Nowakowski (2002). Unsolved Problems in Combinatorial Game Theory. More Games of No Chance edited by Richard J. Nowakowski, pdf
• Elwyn Berlekamp, John H. Conway, Richard K. Guy (2003). Winning Ways for your Mathematical Plays. Vol. 2, 2nd edition, A K Peters Ltd.
• Elwyn Berlekamp, John H. Conway, Richard K. Guy (2003). Winning Ways for your Mathematical Plays. Vol. 3, A K Peters Ltd.
• Elwyn Berlekamp, John H. Conway, Richard K. Guy (2004). Winning Ways for your Mathematical Plays. Vol. 4, A K Peters Ltd.
• Richard K. Guy (2004). Unsolved Problems in Number Theory. 3rd edition, Springer
• Richard K. Guy (2007). The Lighthouse Theorem, Morley & Malfatti: A Budget of Paradoxes. The American Mathematical Monthly, Vol. 114, No. 2 [21] [22]

2010 …#

• Renate Scheidler, Kell Hiu-Fai Cheng, Richard K. Guy, Hugh C. Williams (2013). Classification and symmetries of a family of continued fractions with bounded period length. Journal of the Australian Mathematical Society, Vol. 93, Nos. 1-2, pdf

External Links#

• Richard K. Guy from Wikipedia
• The Mathematics Genealogy Project - Richard Guy
• Chess Composers: September 30th
• Interview with a mathematician: Richard K. Guy – The Intrepid Mathematician by Anthony Bonato, August, 2018
• Study of the Month: Strong law of small numbers by Siegfried Hornecker, ChessBase News, November 27, 2021

References#

1. ↑ Richard K Guy at Banff Conference on Combinatorial Game Theory, June 19, 2005, Photo by Thane Plambeck, Richard K. Guy from Wikipedia
2. ↑ British mathematician Richard K. Guy dies at 103 - Wikinews, the free news source
3. ↑ Richard J. Nowakowski (2009). The History of Combinatorial Game Theory. Dalhousie University, pdf
4. ↑ Richard Guy | Mathematics and Statistics
5. ↑ Richard Kenneth Guy – Wikipedia.de (German)
6. ↑ Alan Phillips (chess player) from Wikipedia
7. ↑ Richard K. Guy from Wikipedia
8. ↑ Richard Kenneth Guy - Schachkomposition - Wikipedia.de (German)
9. ↑ Chess Composers: September 30th
10. ↑ dblp: Richard K. Guy
11. ↑ Richard Guy | Mathematics and Statistics
12. ↑ Nim from Wikipedia
13. ↑ Sprague–Grundy theorem from Wikipedia
14. ↑ Crossing number from Wikipedia
15. ↑ Möbius ladder from Wikipedia
16. ↑ Zarankiewicz problem from Wikipedia
17. ↑ Crossing number from Wikipedia
18. ↑ Heawood conjecture from Wikipedia
19. ↑ Angel problem from Wikipedia
20. ↑ Paul Halmos
21. ↑ Morley’s trisector theorem from Wikipedia
22. ↑ Malfatti circles from Wikipedia

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