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Book Review
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Book Information
Author(s):
Ian P. Goulden and David M. Jackson
Title:
Combinatorial enumeration
Additional book information:
John Wiley & Sons, Inc., Somerset, New Jersey, 1983, xxiv + 569 pp., $47.50. ISBN 0-4718-6654-7
References:
- 1.
- D. André, Développement de sec x et de tang x, C. R. Acad. Sci. Paris 88 (1879), 965-967.
- 2.
- E. A. Bender and J. R. Goldman, Enumerative uses of generating functions, Indiana Univ. Math. J. 20 (1971), 753-765. MR 270931
- 3.
- L. Comtet, Advanced combinatorics, Reidel, Dordrecht, 1974. MR 460128
- 4.
- P. Doubilet, G.-C. Rota and R. Stanley, On the foundations of combinatorial theory. VI: The idea of generating function, Proc. Sixth Berkeley Sympos. Mathematical Statistics and Probability, Univ. of California Press, Berkeley, 1972, pp. 267-318. MR 403987
- 5.
- P. Flajolet, Combinatorial aspects of continued fractions, Discrete Math. 32 (1980), 125-161. MR 592851
- 6.
- D. Foata, La série génératrice exponentielle dans les problèmes d'énumeration, Les Presses de l'Université de Montréal, 1974. MR 505546
- 7.
- D. Foata and M.-P. Schützenberger, Théorie géometrique des polynômes eulériens, Lecture Notes in Math., vol. 138, Springer-Verlag, Berlin, 1970. MR 272642
- 8.
- I. M. Gessel, A factorization for formal Laurent series and lattice path enumeration, J. Combin. Theory Ser. A 28 (1980), 321-337. MR 570213
- 9.
- I. M. Gessel, A noncommutative generalization and q-analog of the Lagrange inversion formula, Trans. Amer. Math. Soc. 257 (1980), 455-481. MR 552269
- 10.
- A. Joyal, Une théorie combinatoire des séries formelles, Adv. in Math. 42 (1981), 1-82. MR 633783
- 11.
- P. A. MacMahon, Second memoir on the composition of numbers, Phil. Trans. Roy. Soc. London Ser. A 207 (1908), 65-134.
- 12.
- R. J. Riddell, Jr. and G. E. Uhlenbeck, On the theory of the virial development of the equation of state of monoatomic gases, J. Chem. Phys. 21 (1953), 2056-2064. MR 59207
- 13.
- G.-C. Rota, On the foundations of combinatorial theory. I: Theory of Möbius functions, Z. Wahrsch. Verw. Gebiete 2 (1964), 340-368. MR 174487
- 14.
- R. P. Stanley, Binomial posets, Möbius inversion, and permutation enumeration, J. Combin. Theory Ser. A 20 (1976), 336-356. MR 409206
Additional Information:
Reviewer(s):
Ira
Gessel
Review Information:
Journal:
Bull. Amer. Math. Soc.
12
(1985),
297-301.
DOI:
10.1090/S0273-0979-1985-15385-6
PII:
S 0273-0979(1985)15385-6
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