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Enumerative Combinatorics: Volume 2
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Enumerative Combinatorics: Volume 2 Hardcover - 1999

by Richard P. Stanley; Appendix by Sergey Fomin


From the publisher

This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.

First line

If F(x) and G(x) are formal power series with G(0) = 0, then we have seen (after Proposition 1.1.9) that the composition F(G(x) is a well-defined formal power series.

Details

  • Title Enumerative Combinatorics: Volume 2
  • Author Richard P. Stanley; Appendix by Sergey Fomin
  • Binding Hardcover
  • Edition First Edition
  • Pages 600
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, United Kingdom
  • Date 1999-01-13
  • ISBN 9780521560696 / 0521560691
  • Weight 2.08 lbs (0.94 kg)
  • Dimensions 9.33 x 6.38 x 1.46 in (23.70 x 16.21 x 3.71 cm)
  • Library of Congress subjects Combinatorial enumeration problems
  • Library of Congress Catalog Number 96044267
  • Dewey Decimal Code 511.62
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Enumerative Combinatorics
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Enumerative Combinatorics, Volume 2 (Cambridge Studies in Advanced Mathematics, Series Number 62).

Enumerative Combinatorics, Volume 2 (Cambridge Studies in Advanced Mathematics, Series Number 62).

by Richard P. Stanley.

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Enumerative Combinatorics, Volume 2
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Enumerative Combinatorics, Volume 2

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Enumerative Combinatorics, Volume 2
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Enumerative Combinatorics, Volume 2

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