Enumerative combinatorics, Volume 2:
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...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2024
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Ausgabe: | Second edition |
Schriftenreihe: | Cambridge studies in advanced mathematics
208 |
Schlagworte: | |
Online-Zugang: | DE-12 DE-634 DE-92 DE-91 URL des Erstveröffentlichers |
Zusammenfassung: | 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. |
Beschreibung: | 1 Online-Ressource (xvi, 738 Seiten) |
ISBN: | 9781009262538 |
DOI: | 10.1017/9781009262538 |
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author | Stanley, Richard P. 1944- |
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discipline | Mathematik |
discipline_str_mv | Mathematik |
doi_str_mv | 10.1017/9781009262538 |
edition | Second edition |
format | Electronic eBook |
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institution | BVB |
isbn | 9781009262538 |
language | English |
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spelling | Stanley, Richard P. 1944- (DE-588)172383714 aut Enumerative combinatorics, Volume 2 Richard P. Stanley ; with an appendix by Sergey Fomin Second edition Cambridge, United Kingdom Cambridge University Press 2024 1 Online-Ressource (xvi, 738 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 208 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. Combinatorial enumeration problems Erscheint auch als Druck-Ausgabe, Hardcover 978-1-009-26249-1 Erscheint auch als Druck-Ausgabe, Paperback 978-1-009-26248-4 Cambridge studies in advanced mathematics 208 (DE-604)BV044781283 208 https://doi.org/10.1017/9781009262538 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Stanley, Richard P. 1944- Enumerative combinatorics, Volume 2 Combinatorial enumeration problems Cambridge studies in advanced mathematics |
title | Enumerative combinatorics, Volume 2 |
title_auth | Enumerative combinatorics, Volume 2 |
title_exact_search | Enumerative combinatorics, Volume 2 |
title_exact_search_txtP | Enumerative combinatorics, Volume 2 |
title_full | Enumerative combinatorics, Volume 2 Richard P. Stanley ; with an appendix by Sergey Fomin |
title_fullStr | Enumerative combinatorics, Volume 2 Richard P. Stanley ; with an appendix by Sergey Fomin |
title_full_unstemmed | Enumerative combinatorics, Volume 2 Richard P. Stanley ; with an appendix by Sergey Fomin |
title_short | Enumerative combinatorics, Volume 2 |
title_sort | enumerative combinatorics volume 2 |
topic | Combinatorial enumeration problems |
topic_facet | Combinatorial enumeration problems |
url | https://doi.org/10.1017/9781009262538 |
volume_link | (DE-604)BV044781283 |
work_keys_str_mv | AT stanleyrichardp enumerativecombinatoricsvolume2 |