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Bibliographic Details
Main Author:	Petersen, T. Kyle (Author)
Format:	Electronic eBook
Language:	English
Published:	[Basel] Birkhäuser [2015]
Series:	Birkhäuser advanced texts
Subjects:	Mathematics Group theory Number theory Topology Discrete mathematics Combinatorics Number Theory Group Theory and Generalizations Discrete Mathematics Mathematik e > Zahl
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online Ressource (XVIII, 456 Seiten, 78 illus., 4 illus. in color)
ISBN:	9781493930913
ISSN:	1019-6242
DOI:	10.1007/978-1-4939-3091-3

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adam_text	EULERIAN NUMBERS / PETERSEN, T. KYLE : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS EULERIAN NUMBERS NARAYANA NUMBERS PARTIALLY ORDERED SETS GAMMA-NONNEGATIVITY WEAK ORDER, HYPERPLANE ARRANGEMENTS, AND THE TAMARI LATTICE REFINED ENUMERATION SIMPLICIAL COMPLEXES BARYCENTRIC SUBDIVISION COXETER GROUPS W-NARAYANA NUMBERS CUBES, CARRIES, AND AN AMAZING MATRIX CHARACTERIZING F-VECTORS COMBINATORICS FOR COXETER GROUPS OF TYPES BN AND DN AFFINE DESCENTS AND THE STEINBERG TORUS HINTS AND SOLUTIONS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. EULERIAN NUMBERS / PETERSEN, T. KYLE : 2015 ABSTRACT / INHALTSTEXT THIS TEXT PRESENTS THE EULERIAN NUMBERS IN THE CONTEXT OF MODERN ENUMERATIVE, ALGEBRAIC, AND GEOMETRIC COMBINATORICS. THE BOOK FIRST STUDIES EULERIAN NUMBERS FROM A PURELY COMBINATORIAL POINT OF VIEW, THEN EMBARKS ON A TOUR OF HOW THESE NUMBERS ARISE IN THE STUDY OF HYPERPLANE ARRANGEMENTS, POLYTOPES, AND SIMPLICIAL COMPLEXES. SOME TOPICS INCLUDE A THOROUGH DISCUSSION OF GAMMA-NONNEGATIVITY AND REAL-ROOTEDNESS FOR EULERIAN POLYNOMIALS, AS WELL AS THE WEAK ORDER AND THE SHARD INTERSECTION ORDER OF THE SYMMETRIC GROUP. THE BOOK ALSO INCLUDES A PARALLEL STORY OF CATALAN COMBINATORICS, WHEREIN THE EULERIAN NUMBERS ARE REPLACED WITH NARAYANA NUMBERS. AGAIN THERE IS A PROGRESSION FROM COMBINATORICS TO GEOMETRY, INCLUDING DISCUSSION OF THE ASSOCIAHEDRON AND THE LATTICE OF NONCROSSING PARTITIONS. THE FINAL CHAPTERS DISCUSS HOW BOTH THE EULERIAN AND NARAYANA NUMBERS HAVE ANALOGUES IN ANY FINITE COXETER GROUP, WITH MANY OF THE SAME ENUMERATIVE AND GEOMETRIC PROPERTIES.THERE ARE FOUR SUPPLEMENTAL CHAPTERS THROUGHOUT, WHICH SURVEY MORE ADVANCED TOPICS, INCLUDING SOME OPEN PROBLEMS IN COMBINATORIAL TOPOLOGY. THIS TEXTBOOK WILL SERVE A RESOURCE FOR EXPERTS IN THE FIELD AS WELL AS FOR GRADUATE STUDENTS AND OTHERS HOPING TO LEARN ABOUTTHESE TOPICSFOR THE FIRST TIME DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Petersen, T. Kyle
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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	10.1007/978-1-4939-3091-3
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indexdate	2024-07-10T07:20:36Z
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isbn	9781493930913
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language	English
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spelling	Petersen, T. Kyle Verfasser (DE-588)1119105528 aut Eulerian numbers T. Kyle Petersen [Basel] Birkhäuser [2015] © 2015 1 Online Ressource (XVIII, 456 Seiten, 78 illus., 4 illus. in color) txt rdacontent c rdamedia cr rdacarrier Birkhäuser advanced texts 1019-6242 Mathematics Group theory Number theory Topology Discrete mathematics Combinatorics Number Theory Group Theory and Generalizations Discrete Mathematics Mathematik e Zahl (DE-588)4150966-3 gnd rswk-swf e Zahl (DE-588)4150966-3 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-4939-3090-6 https://doi.org/10.1007/978-1-4939-3091-3 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632953&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=028632953&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
spellingShingle	Petersen, T. Kyle Eulerian numbers Mathematics Group theory Number theory Topology Discrete mathematics Combinatorics Number Theory Group Theory and Generalizations Discrete Mathematics Mathematik e Zahl (DE-588)4150966-3 gnd
subject_GND	(DE-588)4150966-3
title	Eulerian numbers
title_auth	Eulerian numbers
title_exact_search	Eulerian numbers
title_full	Eulerian numbers T. Kyle Petersen
title_fullStr	Eulerian numbers T. Kyle Petersen
title_full_unstemmed	Eulerian numbers T. Kyle Petersen
title_short	Eulerian numbers
title_sort	eulerian numbers
topic	Mathematics Group theory Number theory Topology Discrete mathematics Combinatorics Number Theory Group Theory and Generalizations Discrete Mathematics Mathematik e Zahl (DE-588)4150966-3 gnd
topic_facet	Mathematics Group theory Number theory Topology Discrete mathematics Combinatorics Number Theory Group Theory and Generalizations Discrete Mathematics Mathematik e Zahl
url	https://doi.org/10.1007/978-1-4939-3091-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632953&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=028632953&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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