Holdings: Algebraic combinatorics

Algebraic combinatorics: walks, trees, tableaux, and more

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Bibliographic Details
Main Author:	Stanley, Richard P. 1944- (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Springer 2013
Series:	Undergraduate texts in mathematics
Subjects:	Kombinatorik Algebraische Kombinatorik
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781461469971 9781461469988
DOI:	10.1007/978-1-4614-6998-8

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Record in the Search Index

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adam_text	ALGEBRAIC COMBINATORICS / STANLEY, RICHARD P. : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE NOTATION.-1. WALKS IN GRAPHS 2. CUBES AND THE RADON TRANSFORM 3. RANDOM WALKS 4. THE SPERNER PROPERTY 5. GROUP ACTIONS ON BOOLEAN ALGEBRAS 6. YOUNG DIAGRAMS AND Q-BINOMIAL COEFFICIENTS 7. ENUMERATION UNDER GROUP ACTION 8. A GLIMPSE OF YOUNG TABLEAUX APPENDIX. THE RSK ALGORITHM APPENDIX. PLANE PARTITIONS 9. THE MATRIX–TREE THEOREM APPENDIX. THREE ELEGANT COMBINATORIAL PROOFS 10. EULERIAN DIAGRAPHS AND ORIENTED TREES 11. CYCLES, BONDS, AND ELECTRICAL NETWORKS 12. MISCELLANEOUS GEMS OF ALGEBRAIC COMBINATORICS HINTS REFERENCES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ALGEBRAIC COMBINATORICS / STANLEY, RICHARD P. : 2013 ABSTRACT / INHALTSTEXT WRITTEN BY ONE OF THE FOREMOST EXPERTS IN THE FIELD, ALGEBRAIC COMBINATORICS IS A UNIQUE UNDERGRADUATE TEXTBOOK THAT WILL PREPARE THE NEXT GENERATION OF PURE AND APPLIED MATHEMATICIANS. THE COMBINATION OF THE AUTHOR’S EXTENSIVE KNOWLEDGE OF COMBINATORICS AND CLASSICAL AND PRACTICAL TOOLS FROM ALGEBRA WILL INSPIRE MOTIVATED STUDENTS TO DELVE DEEPLY INTO THE FASCINATING INTERPLAY BETWEEN ALGEBRA AND COMBINATORICS. READERS WILL BE ABLE TO APPLY THEIR NEWFOUND KNOWLEDGE TO MATHEMATICAL, ENGINEERING, AND BUSINESS MODELS. THE TEXT IS PRIMARILY INTENDED FOR USE IN A ONE-SEMESTER ADVANCED UNDERGRADUATE COURSE IN ALGEBRAIC COMBINATORICS, ENUMERATIVE COMBINATORICS, OR GRAPH THEORY. PREREQUISITES INCLUDE A BASIC KNOWLEDGE OF LINEAR ALGEBRA OVER A FIELD, EXISTENCE OF FINITE FIELDS, AND RUDIMENTS OF GROUP THEORY. THE TOPICS IN EACH CHAPTER BUILD ON ONE ANOTHER AND INCLUDE EXTENSIVE PROBLEM SETS AS WELL AS HINTS TO SELECTED EXERCISES. KEY TOPICS INCLUDE WALKS ON GRAPHS, CUBES AND THE RADON TRANSFORM, THE MATRIX–TREE THEOREM, DE BRUIJN SEQUENCES, THE ERDOS-MOSER CONJECTURE, ELECTRICAL NETWORKS, AND THE SPERNER PROPERTY. THERE ARE ALSO THREE APPENDICES ON PURELY ENUMERATIVE ASPECTS OF COMBINATORICS RELATED TO THE CHAPTER MATERIAL: THE RSK ALGORITHM, PLANE PARTITIONS, AND THE ENUMERATION OF LABELED TREES. RICHARD STANLEY IS CURRENTLY PROFESSOR OF APPLIED MATHEMATICS AT THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY. STANLEY HAS RECEIVED SEVERAL AWARDS INCLUDING THE GEORGE POLYA PRIZE IN APPLIED COMBINATORICS, THE GUGGENHEIM FELLOWSHIP, AND THE LEROY P. STEELE PRIZE FOR MATHEMATICAL EXPOSITION. ALSO BY THE AUTHOR: COMBINATORICS AND COMMUTATIVE ALGEBRA, SECOND EDITION, BIRKHAEUSER DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Stanley, Richard P. 1944- Verfasser (DE-588)172383714 aut Algebraic combinatorics walks, trees, tableaux, and more Richard P. Stanley New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Undergraduate texts in mathematics Kombinatorik (DE-588)4031824-2 gnd rswk-swf Algebraische Kombinatorik (DE-588)4596755-6 gnd rswk-swf Algebraische Kombinatorik (DE-588)4596755-6 s 1\p DE-604 Kombinatorik (DE-588)4031824-2 s 2\p DE-604 https://doi.org/10.1007/978-1-4614-6998-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026194058&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026194058&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Stanley, Richard P. 1944- Algebraic combinatorics walks, trees, tableaux, and more Kombinatorik (DE-588)4031824-2 gnd Algebraische Kombinatorik (DE-588)4596755-6 gnd
subject_GND	(DE-588)4031824-2 (DE-588)4596755-6
title	Algebraic combinatorics walks, trees, tableaux, and more
title_auth	Algebraic combinatorics walks, trees, tableaux, and more
title_exact_search	Algebraic combinatorics walks, trees, tableaux, and more
title_full	Algebraic combinatorics walks, trees, tableaux, and more Richard P. Stanley
title_fullStr	Algebraic combinatorics walks, trees, tableaux, and more Richard P. Stanley
title_full_unstemmed	Algebraic combinatorics walks, trees, tableaux, and more Richard P. Stanley
title_short	Algebraic combinatorics
title_sort	algebraic combinatorics walks trees tableaux and more
title_sub	walks, trees, tableaux, and more
topic	Kombinatorik (DE-588)4031824-2 gnd Algebraische Kombinatorik (DE-588)4596755-6 gnd
topic_facet	Kombinatorik Algebraische Kombinatorik
url	https://doi.org/10.1007/978-1-4614-6998-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026194058&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026194058&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT stanleyrichardp algebraiccombinatoricswalkstreestableauxandmore

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