Enumerative Combinatorics: Volume 2 by Richard P. Stanley
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Enumerative Combinatorics: Volume 2
By Richard P. Stanley

Enumerative Combinatorics: Volume 2

By (author) See other recent books by Richard P. Stanley
Appendix by Sergey Fomin See other recent books by Sergey Fomin
Contributions by Sergey Fomin See other recent books by Sergey Fomin
Format: Hardback

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Enumerative Combinatorics: Volume 2 by Richard P. Stanley

Book Description

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 There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results.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.

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Book Details

ISBN: 9780521560696
ISBN-10: 0521560691
Format: Hardback
(228mm x 152mm x 38mm)
Pages: 600
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 by 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 by Richard P. Stanley Enumerative Combinatorics: Volume 1, Paperback (November 2011)

This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises.

Combinatorics and Commutative Algebra by Richard P. Stanley Combinatorics and Commutative Algebra, Paperback (August 2004)

Contains a significant amount of new in areas of interest, and presents the "big picture" in an engaging framework.

Enumerative Combinatorics by Richard P. Stanley Enumerative Combinatorics, Paperback (June 2001)

An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.

» View all books by Richard P. Stanley

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Recent books by Richard P. Stanley close
Catalan Numbers by Richard P. Stanley
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