Holdings: Enumerative combinatorics

Enumerative combinatorics: 2

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Bibliographic Details
Main Author:	Stanley, Richard P. 1944- (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2010
Edition:	1. paperback ed., transferred to digital print.
Series:	Cambridge studies in advanced mathematics 62
Subjects:	Abzählende Kombinatorik
Online Access:	Inhaltsverzeichnis Inhaltsverzeichnis
Physical Description:	XII, 585 S. Ill., graph. Darst.
ISBN:	0521789877 9780521789875

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MARC


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adam_text	IMAGE 1 ENUMERATIVE COMBINATORICS VOLUME 2 RICHARD P. STANLEY MASSACHUSETTS INSTITUTE OF TECHNOLOGY H CAMBRIDGE UNIVERSITY PRESS IMAGE 2 CONTENTS FOREWORD PAGE V PREFACE VII NOTATION XI 5 TREES AND THE COMPOSITION OF GENERATING FUNCTIONS 1 5.1 THE EXPONENTIAL FORMULA 1 5.2 APPLICATIONS OF THE EXPONENTIAL FORMULA 10 5.3 ENUMERATION OF TREES 22 5.4 THE LAGRANGE INVERSION FORMULA 36 5.5 EXPONENTIAL STRUCTURES 44 5.6 ORIENTED TREES AND THE MATRIX-TREE THEOREM 54 NOTES 65 REFERENCES 69 EXERCISES 72 SOLUTIONS TO EXERCISES 103 6 ALGEBRAIC, D-FINITE, AND NONCOMMUTATIVE GENERATING FUNCTIONS 159 6.1 ALGEBRAIC GENERATING FUNCTIONS 159 6.2 EXAMPLES OF ALGEBRAIC SERIES 168 6.3 DIAGONALS 179 6.4 D-FINITE GENERATING FUNCTIONS 187 6.5 NONCOMMUTATIVE GENERATING FUNCTIONS 195 6.6 ALGEBRAIC FORMAL SERIES 202 6.7 NONCOMMUTATIVE DIAGONALS 209 NOTES 211 REFERENCES 214 EXERCISES 217 SOLUTIONS TO EXERCISES 249 7 SYMMETRIE FUNCTIONS 286 7.1 SYMMETRIE FUNCTIONS IN GENERAL 286 7.2 PARTITIONS AND THEIR ORDERINGS 287 IX IMAGE 3 X CONTENTS 7.3 MONOMIAL SYMMETRIE FUNCTIONS 289 7.4 ELEMENTARY SYMMETRIE FUNCTIONS 290 7.5 COMPLETE HOMOGENEOUS SYMMETRIE FUNCTIONS 294 7.6 AN INVOLUTION 296 7.7 POWER SUM SYMMETRIE FUNCTIONS 297 7.8 SPECIALIZATIONS 301 7.9 A SCALAR PRODUCT 306 7.10 THE COMBINATORIAL DEFINITION OF SCHUR FUNCTIONS 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 SCHUR FUNCTIONS 334 7.16 THE JACOBI-TRUDI IDENTITY 342 7.17 THE MURNAGHAN-NAKAYAMA RULE 345 7.18 THE CHARACTERS OF THE SYMMETRIE GROUP 349 7.19 QUASI SYMMETRIE 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 A 1 KNUTH EQUIVALENCE, JEU DE TAQUIN, AND THE LITTLEWOOD-RICHARDSON RULE 413 A1.1 KNUTH EQUIVALENCE AND GREENE S THEOREM 413 AI.2 JEU DE TAQUIN 419 AI.3 THE LITTLEWOOD-RICHARDSON RULE 429 NOTES 437 REFERENCES 438 A2 THE CHARACTERS OF GL(, C) 440 EXERCISES 450 SOLUTIONS TO EXERCISES 490 INDEX ADDITIONAL ERRATA AND ADDENDA 561
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indexdate	2024-07-09T22:55:09Z
institution	BVB
isbn	0521789877 9780521789875
language	English
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physical	XII, 585 S. Ill., graph. Darst.
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series	Cambridge studies in advanced mathematics
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spelling	Stanley, Richard P. 1944- Verfasser (DE-588)172383714 aut Enumerative combinatorics 2 1. paperback ed., transferred to digital print. Cambridge [u.a.] Cambridge Univ. Press 2010 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 http://www.gbv.de/dms/ilmenau/toc/517049511stanl.PDF Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021192991&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 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://www.gbv.de/dms/ilmenau/toc/517049511stanl.PDF http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021192991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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work_keys_str_mv	AT stanleyrichardp enumerativecombinatorics2

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