Enumerative combinatorics: 1
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
|
| Ausgabe: | 9. print. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
49 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | XI, 325 S. Ill. |
| ISBN: | 9780521553094 9780521663519 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
ENUMERATIVE COMBINATORICS
VOLUME 1
RICHARD P. STANLEY MASSACHUSETTS INSTITUTE OF TECHNOLOGY
CAMBRIDGE
UNIVERSITY PRESS
IMAGE 2
CONTENTS
NOTATION CHAPTER 1
1.1 1.2
1.3 1.4
CHAPTER 2
2.1 2.2
2.3
2.4
2.5 2.6 2.7
WHAT IS ENUMERATIVE COMBINATORICS? HOW TO COUNT SETS AND MULTISETS
PERMUTATION STATISTICS
THE TWELVEFOLD WAY NOTES
REFERENCES A NOTE ABOUT THE EXERCISES
EXERCISES
SOLUTIONS TO EXERCISES
SIEVE METHODS INCLUSION-EXCLUSION EXAMPLES AND SPECIAL CASES
PERMUTATIONS WITH RESTRICTED POSITIONS FERRERS BOARDS
K-PARTITIONS AND UNIMODAL SEQUENCES INVOLUTIONS DETERMINANTS NOTES
REFERENCES
EXERCISES
SOLUTIONS TO EXERCISES
XI
1
1
13
17
31
40 42 42
43
51
64
64 67
71 74
76 79 82
85
85 86
90
IX
IMAGE 3
CONTENTS
CHAPTER 3 PARTIALLY ORDERED SETS 96
3.1 BASIC CONCEPTS 96
3.2 NEW POSETS FROM OLD 100
3.3 LATTICES 102
3.4 DISTRIBUTIVE LATTICES 105
3.5 CHAINS IN DISTRIBUTIVE LATTICES 110
3.6 THE INCIDENCE ALGEBRA OF A LOCALLY FINITE POSET 113
3.7 THE MOEBIUS INVERSION FORMULA 116
3.8 TECHNIQUES FOR COMPUTING MOEBIUS FUNCTIONS 117
3.9 LATTICES AND THEIR MOEBIUS ALGEBRAS 124
3.10 THE MOEBIUS FUNCTION OF A SEMIMODULAR LATTICE 126
3.11 ZETA POLYNOMIALS 129
3.12 RANK-SEKCTION 131
3.13 /?-LABELINGS 133
3.14 EULERIAN POSETS 135
3.15 BINOMIAL POSETS AND GENERATING FUNCTIONS 140
3.16 AN APPLICATION TO PERMUTATION ENUMERATION 147
NOTES 149
REFERENCES 152
EXERCISES 153
SOLUTIONS TO EXERCISES 174
CHAPTER 4 RATIONAL GENERATING FUNCTIONS 202
4.1 RATIONAL POWER SERIES IN ONE VARIABLE 202
4.2 FURTHER RAMIFICATIONS 204
4.3 POLYNOMIALS 208
4.4 QUASI-POLYNOMIALS 210
4.5 P-PARTITIONS 211
4.6 LINEAR HOMOGENEOUS DIOPHANTINE EQUATIONS 221
4.7 THE TRANSFER-MATRIX METHOD 241
NOTES 260
REFERENCES 263
EXERCISES 264
SOLUTIONS TO EXERCISES 275
APPENDIX GRAPH THEORY TERMINOLOGY 293
INDEX 296
SUPPLEMENTAER} PROBLEMS 3Q7
ERRATA AND ADDENDA 3 J 9
|
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| bvnumber | BV025827985 |
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| discipline | Mathematik |
| edition | 9. print. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:20:21Z |
| institution | BVB |
| isbn | 9780521553094 9780521663519 |
| language | English |
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| physical | XI, 325 S. Ill. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| 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 1 9. print. Cambridge [u.a.] Cambridge Univ. Press 2008 XI, 325 S. Ill. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 49 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 1 Cambridge studies in advanced mathematics 49 (DE-604)BV000003678 49 http://www.gbv.de/dms/ilmenau/toc/520093380stanl.PDF lizenzfrei Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019427049&sequence=000001&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_full | Enumerative combinatorics 1 |
| title_fullStr | Enumerative combinatorics 1 |
| title_full_unstemmed | Enumerative combinatorics 1 |
| title_short | Enumerative combinatorics |
| title_sort | enumerative combinatorics |
| topic | Abzählende Kombinatorik (DE-588)4132720-2 gnd |
| topic_facet | Abzählende Kombinatorik |
| url | http://www.gbv.de/dms/ilmenau/toc/520093380stanl.PDF http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019427049&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011443423 (DE-604)BV000003678 |
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