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Book Review
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Book Information
Author(s):
Richard P. Stanley
Title:
Enumerative combinatorics, vol. I
Additional book information:
Wadsworth and Brooks/Cole, Monterey, 1986, xi + 306 pp., $42.95. ISBN 0-534-06546-5
References:
- 1.
- R. Askey and M. Ismail, The Rogers q-ultraspherical polynomials, Approximation Theory III (E. W. Cheney, ed. ), Academic Press, New York, 1980, pp. 175-182. MR 602713
- 2.
- R. J. Baxter, Exactly solved models in statistical mechanics, Academic Press, London and New York, 1982. MR 690578
- 3.
- E. A. Bender and J. R. Goldman, Enumerative uses of generating functions, Indiana Univ. Math. J. 20 (1971), 753-765. MR 270931
- 4.
- I. M. Gessel, Generating functions and enumeration of sequences, thesis, M.I.T., 1977.
- 5.
- I. P. Goulden and D. M. Jackson, Combinatorial enumeration, John Wiley, New York, 1983. MR 702512
- 6.
- M. Henle, Dissection of generating functions, Stud. Appl. Math. 51 (1972), 397-410. MR 351833
- 7.
- A. Joyal, Une théorie combinatoire des séries formelles, Adv. in Math. 42 (1981), 1-82. MR 633783
- 8.
- D. E. Knuth, The art of computer programming, Vol. 3, Addison-Wesley, Reading, 1973. MR 378456
- 9.
- D. E. Knuth and D. H. Greene, Mathematics for the analysis of algorithms, Birkhäuser, Boston, 1981. MR 642197
- 10.
- D. E. Littlewood, Theory of group characters, Oxford Univ. Press, London, 1940. MR 2127
- 11.
- P. A. MacMahon, Collected Papers, Volume II (G. E. Andrews, ed. ), M.I.T. Press, Cambridge, 1986. MR 514405
- 12.
- P. W. Purdom and C. A. Brown, The analysis of algorithms, Holt, Rinehart and Winston, New York, 1985. MR 1104882
- 13.
- G.-C. Rota, On the foundations of combinatorial theory I. Theory of Möbius function, Z. Wahrsch. Verw. Gebiete 2 (1964), 340-368. MR 174487
- 14.
- R. Stanley, Linear homogeneous diophantine equations and magic labelings of graphs, Duke Math. J. 40 (1973), 607-632. MR 317970
- 15.
- G. Viennot, Problèmes combinatoires posés par la physique statistique, Séminaire Bourbaki, no. 626, 1983/84.
Additional Information:
Reviewer(s):
George E.
Andrews
Review Information:
Journal:
Bull. Amer. Math. Soc.
17
(1987),
360-365.
DOI:
10.1090/S0273-0979-1987-15595-9
PII:
S 0273-0979(1987)15595-9
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