Book Review
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MathSciNet review:
1567401
Full text of review:
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Book Information:
Authors:
Elwyn R. Berlekamp,
John H. Conway and
Richard K. Guy
Title:
Winning ways for your mathematical plays
Additional book information:
Academic Press, London, 1982, vol. 1, Games in general, vol. 2, Games in particular, xxxii + 861 pp., $22.50 P/B, $64.50 H/B.
Charles L. Bouton, Nim, a game with a complete mathematical theory, Ann. of Math. (2) 3 (1901/02), no. 1-4, 35–39. MR 1502275, DOI 10.2307/1967631
J. H. Conway, On numbers and games, London Mathematical Society Monographs, No. 6, Academic Press [Harcourt Brace Jovanovich, Publishers], London-New York, 1976. MR 0450066
Richard A. Epstein, The theory of gambling and statistical logic, Revised edition, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1977. MR 0446535
Solomon W. Golomb, A mathematical investigation of games of “take-away”, J. Combinatorial Theory 1 (1966), 443–458. MR 209015
5. P. M. Grundy, Mathematics and games, Eureka 2 (1939), 6-8.
John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, N.J., 1944. MR 0011937
7. R. P. Sprague, Über mathematische Kampfspiele, Tôhoku Math. J. 41 (1935-36), 438-444.
- 1.
- C. L. Bouton, Nim, a game with a complete mathematical theory, Ann. of Math. (2) 3 (1902), 35-39. MR 1502275
- 2.
- J. H. Conway, On numbers and games, Academic Press, London and New York, 1976. MR 450066
- 3.
- R. A. Epstein, Theory of gambling and statistical logic, Academic Press, New York and London, 1967. MR 446535
- 4.
- S. W. Golomb, A mathematical investigation of games of "take-away", J. Combinatorial Theory 1 (1966), 443-458. MR 209015
- 5.
- P. M. Grundy, Mathematics and games, Eureka 2 (1939), 6-8.
- 6.
- J. von Neumann and O. Morgenstern, The theory of games and economic behavior, Princeton, 1944. MR 11937
- 7.
- R. P. Sprague, Über mathematische Kampfspiele, Tôhoku Math. J. 41 (1935-36), 438-444.
Review Information:
Reviewer:
Solomon W. Golomb
Journal:
Bull. Amer. Math. Soc.
8 (1983), 108-111
DOI:
https://doi.org/10.1090/S0273-0979-1983-15098-X