Algebraic combinatorics: walks, trees, tableaux, and more
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
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| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461469971 9781461469988 |
| DOI: | 10.1007/978-1-4614-6998-8 |
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Datensatz im Suchindex
| _version_ | 1804150655913295872 |
|---|---|
| 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.
|
| any_adam_object | 1 |
| author | Stanley, Richard P. 1944- |
| author_GND | (DE-588)172383714 |
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| bvnumber | BV041219468 |
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| ctrlnum | (OCoLC)855544119 (DE-599)DNB103613668X |
| dewey-full | 511.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.6 |
| dewey-search | 511.6 |
| dewey-sort | 3511.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4614-6998-8 |
| format | Electronic eBook |
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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 |
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