Enumerative combinatorics: 2
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2005
|
Ausgabe: | Reprint. |
Schriftenreihe: | Cambridge studies in advanced mathematics
62 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XII, 585 S. Ill., graph. Darst. |
ISBN: | 0521789877 9780521789875 |
Internformat
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Datensatz im Suchindex
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adam_text | Contents
Foreword page v
Preface
Notation
5
5.1
5.2
5.3
5.4
5.5
5.6
Notes
References
Exercises
Solutions to Exercises
6
6.1
6.2
6.3
6.4
6.5
6.6
6.7
Notes
References
Exercises
Solutions to Exercises
7
7.1
7.2
їх
Contents
13
Monomial Symmetric Functions
289
7.4
Elementary Symmetric Functions
290
7.5
Complete Homogeneous Symmetric Functions
294
7.6
An Involution
296
7.7
Power Sum Symmetric Functions
297
7.8
Specializations
301
7.9
A Scalar Product
306
7.10
The Combinatorial Definition of
308
7.11
The RSK Algorithm
316
7.12
Some Consequences of the RSK Algorithm
322
7.13
Symmetry of the RSK Algorithm
324
7.14
The Dual RSK Algorithm
331
7.15
The Classical Definition of
334
7.16
The Jacobi-Tradi Identity
342
7.17
The Murnaghan-Nakayama Rule
345
7.18
The Characters of the Symmetric Group
349
7.19
Quasisymmetric Functions
356
7.20
Plane Partitions and the RSK Algorithm
365
7.21
Plane Partitions with Bounded Part Size
371
7.22
Reverse Plane Partitions and the Hillman-Grassl
Correspondence
378
7.23
Applications to Permutation Enumeration
382
7.24
Enumeration under Group Action
390
Notes
396
References
405
Al
Knuth
Littlewood-Richardson Rule
413
Al
413
Al.
419
A1.3 The Littlewood-Richardson
429
Notes
437
References
438
A2
The Characters of GL(«, C)
440
Exercises
450
Solutions to Exercises
490
Index
561
Additional
583
|
adam_txt |
Contents
Foreword page v
Preface
Notation
5
5.1
5.2
5.3
5.4
5.5
5.6
Notes
References
Exercises
Solutions to Exercises
6
6.1
6.2
6.3
6.4
6.5
6.6
6.7
Notes
References
Exercises
Solutions to Exercises
7
7.1
7.2
їх
Contents
13
Monomial Symmetric Functions
289
7.4
Elementary Symmetric Functions
290
7.5
Complete Homogeneous Symmetric Functions
294
7.6
An Involution
296
7.7
Power Sum Symmetric Functions
297
7.8
Specializations
301
7.9
A Scalar Product
306
7.10
The Combinatorial Definition of
308
7.11
The RSK Algorithm
316
7.12
Some Consequences of the RSK Algorithm
322
7.13
Symmetry of the RSK Algorithm
324
7.14
The Dual RSK Algorithm
331
7.15
The Classical Definition of
334
7.16
The Jacobi-Tradi Identity
342
7.17
The Murnaghan-Nakayama Rule
345
7.18
The Characters of the Symmetric Group
349
7.19
Quasisymmetric Functions
356
7.20
Plane Partitions and the RSK Algorithm
365
7.21
Plane Partitions with Bounded Part Size
371
7.22
Reverse Plane Partitions and the Hillman-Grassl
Correspondence
378
7.23
Applications to Permutation Enumeration
382
7.24
Enumeration under Group Action
390
Notes
396
References
405
Al
Knuth
Littlewood-Richardson Rule
413
Al
413
Al.
419
A1.3 The Littlewood-Richardson
429
Notes
437
References
438
A2
The Characters of GL(«, C)
440
Exercises
450
Solutions to Exercises
490
Index
561
Additional
583 |
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author | Stanley, Richard P. 1944- |
author_GND | (DE-588)172383714 |
author_facet | Stanley, Richard P. 1944- |
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author_sort | Stanley, Richard P. 1944- |
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building | Verbundindex |
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classification_rvk | SK 170 |
ctrlnum | (OCoLC)180109579 (DE-599)BVBBV022375763 |
dewey-full | 511.62 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.62 |
dewey-search | 511.62 |
dewey-sort | 3511.62 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | Mathematik |
edition | Reprint. |
format | Book |
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illustrated | Illustrated |
index_date | 2024-07-02T17:09:11Z |
indexdate | 2024-07-09T20:56:16Z |
institution | BVB |
isbn | 0521789877 9780521789875 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015584841 |
oclc_num | 180109579 |
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physical | XII, 585 S. Ill., graph. Darst. |
publishDate | 2005 |
publishDateSearch | 2005 |
publishDateSort | 2005 |
publisher | Cambridge Univ. Press |
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series | Cambridge studies in advanced mathematics |
series2 | Cambridge studies in advanced mathematics |
spelling | Stanley, Richard P. 1944- Verfasser (DE-588)172383714 aut Enumerative combinatorics 2 Reprint. Cambridge [u.a.] Cambridge Univ. Press 2005 XII, 585 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 62 Cambridge studies in advanced mathematics ... Abzählende Kombinatorik (DE-588)4132720-2 gnd rswk-swf Abzählende Kombinatorik (DE-588)4132720-2 s DE-604 (DE-604)BV011443423 2 Cambridge studies in advanced mathematics 62 (DE-604)BV000003678 62 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015584841&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Stanley, Richard P. 1944- Enumerative combinatorics Cambridge studies in advanced mathematics Abzählende Kombinatorik (DE-588)4132720-2 gnd |
subject_GND | (DE-588)4132720-2 |
title | Enumerative combinatorics |
title_auth | Enumerative combinatorics |
title_exact_search | Enumerative combinatorics |
title_exact_search_txtP | Enumerative combinatorics |
title_full | Enumerative combinatorics 2 |
title_fullStr | Enumerative combinatorics 2 |
title_full_unstemmed | Enumerative combinatorics 2 |
title_short | Enumerative combinatorics |
title_sort | enumerative combinatorics |
topic | Abzählende Kombinatorik (DE-588)4132720-2 gnd |
topic_facet | Abzählende Kombinatorik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015584841&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV011443423 (DE-604)BV000003678 |
work_keys_str_mv | AT stanleyrichardp enumerativecombinatorics2 |