Research Catalog
Enumerative combinatorics
- Title
- Enumerative combinatorics / Richard P. Stanley.
- Author
- Stanley, Richard P., 1944-
- Publication
- Cambridge ; New York : Cambridge University Press, ©1997-1999.
Items in the Library & Off-site
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2 Items
| Status | Vol/Date | Format | Access | Call Number | Item Location |
|---|---|---|---|---|---|
| vol. 2, 2nd ed. (2024) | Text | Use in library | QA164.8 .S73 1997 vol. 2, 2nd ed. (2024) | Off-site | |
Not available - Please for assistance. | vol. 1 | Text | Use in library | QA164.8 .S73 1997 vol. 1 | Off-site |
Details
- Description
- 2 volumes : illustrations; 24 cm
- Summary
- Publisher Description (unedited publisher data) 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 There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results.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. Library of Congress subject headings for this publication: Combinatorial enumeration problems.
- Series Statement
- Cambridge studies in advanced mathematics ; 49, 62
- Uniform Title
- Cambridge studies in advanced mathematics ; 49, 62.
- Subjects
- Note
- Originally published: Monterey, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, c1986- . (The Wadsworth & Brooks/Cole mathematics series).
- Bibliography (note)
- Includes bibliographical references and indexes.
- Contents
- v. 1. What is enumerative combinatorics? -- Sieve methods -- Partially ordered sets -- Rational generating functions -- Graph theory terminology -- v. 2. Trees and the composition of generating functions -- Algebraic, D-finite, and noncommutative generating functions -- Symmetric functions -- Knuth equivalence, Jeu de Taquin, and the Littlewood-Richardson rule -- The characters of GL (n, C).
- ISBN
- 0521553091
- 9780521553094
- 0521560691
- 9780521560696
- 0521663512
- 9780521663519
- LCCN
- 96044267
- OCLC
- ocm35637026
- 35637026
- SCSB-2123748
- Owning Institutions
- Princeton University Library