Book Review

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Book Information:

Author: Donald E. Knuth

Title: The Art of Computer Programming, Volume 1. Fundamental Algorithms and Volume 2. Seminumerical Algorithms

Additional book information: Addison-Wesley, Reading, Mass., 1969 (second printing) and 1969.

**1.**D. E. Knuth,*A class of projective planes*, Trans. Amer. Math. Soc. 115 (1965), 541-549. MR 34 #1916. MR**202041****2.**D. E. Knuth and R. H. Bigelow,*Programming languages for automata*, J. Assoc. Comput. Mach. 14 (1967), 615-635.**3.**John Riordan, "Generating functions," Chapter 3 in*Applied combinatorial mathematics*, edited by E. F. Beckenbach, Wiley, New York, 1964.**4.**R. W. Hamming, Review (18, 478) of*Seminumerical algorithms*. Vol 2, by D. E. Knuth, Comput. Rev. 11 (1970), 99.**5.**R. R. Coveyou, "Random number generation is too important to be left to chance," in*Studies in applied mathematics*, SIAM, Philadelphia, Pa., 1969, pp. 70-111.**6.**W. A. Beyer, R. B. Roof and D. Williamson,*The lattice structure of multiplicative congruential pseudo-random vectors*, Math. Comp. 25 (1971), 345-363. MR**309263****7.**E. D. Cashwell and C. J. Everett,*A practical manual on the Monte Carlo method for random walk problems*, Pergamon, New York, 1959. MR 21 #5269. MR**106538****8.**J. H. Halton,*A retrospective and prospective survey of the Monte Carlo methods*, SIAM Rev. 12 (1970), 1-63. MR 41 #2878. MR**258231**

Review Information:

Reviewer: Mark B. Wells

Journal: Bull. Amer. Math. Soc.

**79**(1973), 501-509

DOI: https://doi.org/10.1090/S0002-9904-1973-13173-8