Enumerative Combinatorics: Volume 2
By (author) Richard P. Stanley
Appendix by Sergey Fomin
Contributions by Sergey Fomin
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Enumerative Combinatorics: Volume 2 by Richard P. Stanley
Book DescriptionThis 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 There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results.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.
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Book DetailsISBN: 9780521560696
(228mm x 152mm x 38mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Jan-1999
Country of Publication: United Kingdom
Books By Author Richard P. Stanley
Catalan Numbers, Hardback (March 2015)
More than 250 exercises and solutions on properties and applications of Catalan numbers, at levels ranging from recreational to research.
Enumerative Combinatorics: Volume 1, Hardback (November 2011)
This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises.
Enumerative Combinatorics, Paperback (June 2001)» View all books by Richard P. Stanley
An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.
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