Richard Stanley's two-volume basic introduction to enumerative
combinatorics has become the standard guide to the topic for
students and experts alike. This thoroughly revised second edition
of volume two covers the composition of generating functions, in
particular the exponential formula and the Lagrange inversion
formula, labelled and unlabelled trees, algebraic, D-finite, and
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 and focusing on combinatorics, especially the
Robinson–Schensted–Knuth algorithm. An appendix by Sergey Fomin
covers some deeper aspects of symmetric functions, including jeu de
taquin and the Littlewood–Richardson rule. The exercises in the
book play a vital role in developing the material, and this second
edition features over 400 exercises, including 159 new exercises on
symmetric functions, all with solutions or references to solutions.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Studies in Advanced Mathematics |
Release date: |
August 2023 |
Authors: |
Richard Stanley
|
Pages: |
788 |
Edition: |
2nd Revised edition |
ISBN-13: |
978-1-00-926248-4 |
Categories: |
Books
|
LSN: |
1-00-926248-3 |
Barcode: |
9781009262484 |
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