Enumerative combinatorics, Volume 1:
This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1997
|
| Series: | Cambridge studies in advanced mathematics
49 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 Online-Ressource (xi, 325 Seiten) |
| ISBN: | 9780511805967 |
| DOI: | 10.1017/CBO9780511805967 |
Staff View
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference | ||
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| discipline | Mathematik |
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| id | DE-604.BV043942428 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511805967 |
| language | English |
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| physical | 1 Online-Ressource (xi, 325 Seiten) |
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| publishDate | 1997 |
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| spelling | Stanley, Richard P. 1944- Verfasser (DE-588)172383714 aut Enumerative combinatorics, Volume 1 Richard P. Stanley, Foreword by Gian-Carlo Rota Cambridge Cambridge University Press 1997 1 Online-Ressource (xi, 325 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 49 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference Combinatorial enumeration problems Abzählende Kombinatorik (DE-588)4132720-2 gnd rswk-swf Abzählende Kombinatorik (DE-588)4132720-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-55309-4 Erscheint auch als Druck-Ausgabe 978-0-521-66351-9 https://doi.org/10.1017/CBO9780511805967 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Stanley, Richard P. 1944- Enumerative combinatorics, Volume 1 Combinatorial enumeration problems Abzählende Kombinatorik (DE-588)4132720-2 gnd |
| subject_GND | (DE-588)4132720-2 |
| title | Enumerative combinatorics, Volume 1 |
| title_auth | Enumerative combinatorics, Volume 1 |
| title_exact_search | Enumerative combinatorics, Volume 1 |
| title_full | Enumerative combinatorics, Volume 1 Richard P. Stanley, Foreword by Gian-Carlo Rota |
| title_fullStr | Enumerative combinatorics, Volume 1 Richard P. Stanley, Foreword by Gian-Carlo Rota |
| title_full_unstemmed | Enumerative combinatorics, Volume 1 Richard P. Stanley, Foreword by Gian-Carlo Rota |
| title_short | Enumerative combinatorics, Volume 1 |
| title_sort | enumerative combinatorics volume 1 |
| topic | Combinatorial enumeration problems Abzählende Kombinatorik (DE-588)4132720-2 gnd |
| topic_facet | Combinatorial enumeration problems Abzählende Kombinatorik |
| url | https://doi.org/10.1017/CBO9780511805967 |
| work_keys_str_mv | AT stanleyrichardp enumerativecombinatoricsvolume1 |