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Book Review

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Book Information:

Authors: 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 [Enhancements On Off] (What's this?)

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  • 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), no. 2, 125–161. MR 592851, https://doi.org/10.1016/0012-365X(80)90050-3
  • 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. Ira M. Gessel, A factorization for formal Laurent series and lattice path enumeration, J. Combin. Theory Ser. A 28 (1980), no. 3, 321–337. MR 570213, https://doi.org/10.1016/0097-3165(80)90074-6
  • 9. Ira Gessel, A noncommutative generalization and 𝑞-analog of the Lagrange inversion formula, Trans. Amer. Math. Soc. 257 (1980), no. 2, 455–482. MR 552269, https://doi.org/10.1090/S0002-9947-1980-0552269-2
  • 10. André Joyal, Une théorie combinatoire des séries formelles, Adv. in Math. 42 (1981), no. 1, 1–82 (French, with English summary). MR 633783, https://doi.org/10.1016/0001-8708(81)90052-9
  • 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

Review Information:

Reviewer: Ira Gessel
Journal: Bull. Amer. Math. Soc. 12 (1985), 297-301
DOI: https://doi.org/10.1090/S0273-0979-1985-15385-6
American Mathematical Society