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Author Stanley, Richard P., 1944-

Title Enumerative combinatorics / Richard P. Stanley.

Published New York : Cambridge University Press, 1997-1999.


Location Call No. Status
 UniM ERC  511.62 STAN  v.1    AVAILABLE
 UniM ERC  511.62 STAN  v.2    AVAILABLE
Physical description 2 volumes : illustrations ; 24 cm.
Series Cambridge studies in advanced mathematics ; 49, 62.
Cambridge studies in advanced mathematics ; 49, 62.
Notes Originally published: Monterey, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, c1986- . (The Wadsworth & Brooks/Cole mathematics series)
Summary 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. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory including jeu de taquin and the Littlewood-Richardson rule. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results.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.
Subject Combinatorial enumeration problems.
ISBN 0521553091 (v. 1)
0521560691 (v. 2)