Book Review
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MathSciNet review:
1566672
Full text of 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.
Donald E. Knuth, A class of projective planes, Trans. Amer. Math. Soc. 115 (1965), 541–549. MR 202041, DOI 10.1090/S0002-9947-1965-0202041-X
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.
W. A. Beyer, R. B. Roof, and Dorothy Williamson, The lattice structure of multiplicative congruential pseudo-random vectors, Math. Comp. 25 (1971), 345–363. MR 309263, DOI 10.1090/S0025-5718-1971-0309263-4
E. D. Cashwell and C. J. Everett, A practical manual on the Monte Carlo method for random walk problems. , International Tracts in Computer Science and Technology and Their Application, Vol. 1, Pergamon Press, New York-London-Paris-Los Angeles, 1959. MR 0106538
John H. Halton, A retrospective and prospective survey of the Monte Carlo method, SIAM Rev. 12 (1970), 1–63. MR 258231, DOI 10.1137/1012001
- 1.
- D. E. Knuth, A class of projective planes, Trans. Amer. Math. Soc. 115 (1965), 541-549. MR 34 #1916. MR 0202041
- 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