Verfügbarkeit: Combinatorial theory

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Bibliographische Detailangaben
Titel:	Combinatorial theory
Von:	Martin Aigner
Person:	Aigner, Martin 1942-2023 Verfasser aut
Hauptverfasser:	Aigner, Martin 1942-2023 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin [u.a.] Springer 1997
Ausgabe:	Reprint of the 1979 ed.
Schriftenreihe:	Classics in mathematics
Schlagworte:	Combinatorial analysis Kombinatorik Kombinatorische Analysis
Online-Zugang:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007424471&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Auch als: Grundlehren der mathematischen Wissenschaften ; 234
Beschreibung:	VIII, 483 S. Ill.
ISBN:	3540617876

Internformat

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Datensatz im Suchindex

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adam_text	Contents Preliminaries 1 1. Sets 1 2. Graphs 2 3. Posets 3 4. Miscellaneous Notation 4 Chapter I. Mappings 5 1. Classes of Mappings 5 2. Fundamental Orders 9 3. Permutations 20 4. Patterns 26 Notes 29 Chapter II. Lattices 30 1. Distributive Lattices 31 2. Modular and Semimodular Lattices 42 3. Geometric Lattices 52 4. The Fundamental Examples 67 Notes 71 Chapter III. Counting Functions 73 1. The Elementary Counting Coefficients 73 2. Recursion and Inversion 85 3. Binomial Sequences 99 4. Order Functions 118 Notes 136 Chapter IV. Incidence Functions 137 1. The Incidence Algebra 138 2. Mobius Inversion 152 3. The Mobius Function 166 4. Valuations 181 Notes 195 vjjj Contents Chapter V. Generating Functions 196 1. Ordered Structures 197 2. Unordered Structures 211 3. G patterns 220 4. G,// patterns 235 Notes 254 Chapter VI. Matroids: Introduction 255 1. Fundamental Concepts 256 2. Fundamental Examples 270 3. Construction of Matroids 285 4. Duality and Connectivity 306 Notes 321 Chapter VII. Matroids: Further Theory 322 1. Linear Matroids 322 2. Binary Matroids 336 3. Graphic Matroids 351 4. Transversal Matroids 377 Notes 390 Chapter VIII. Combinatorial Order Theory 391 1. Maximum Minimum Theorems 391 2. Transversal Theorems 403 3. Sperner Theorems 418 4. Ramsey Theorems 440 Notes. 451 Bibliography 453 List of Symbols 471 Subject Index 477
any_adam_object	1
author	Aigner, Martin 1942-2023
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dewey-tens	510 - Mathematics
discipline	Mathematik
edition	Reprint of the 1979 ed.
format	Book
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illustrated	Illustrated
indexdate	2024-12-20T10:06:00Z
institution	BVB
isbn	3540617876
language	English
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physical	VIII, 483 S. Ill.
publishDate	1997
publishDateSearch	1997
publishDateSort	1997
publisher	Springer
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series2	Classics in mathematics
spellingShingle	Aigner, Martin 1942-2023 Combinatorial theory Combinatorial analysis Kombinatorik (DE-588)4031824-2 gnd Kombinatorische Analysis (DE-588)4164746-4 gnd
subject_GND	(DE-588)4031824-2 (DE-588)4164746-4
title	Combinatorial theory
title_auth	Combinatorial theory
title_exact_search	Combinatorial theory
title_full	Combinatorial theory Martin Aigner
title_fullStr	Combinatorial theory Martin Aigner
title_full_unstemmed	Combinatorial theory Martin Aigner
title_short	Combinatorial theory
title_sort	combinatorial theory
topic	Combinatorial analysis Kombinatorik (DE-588)4031824-2 gnd Kombinatorische Analysis (DE-588)4164746-4 gnd
topic_facet	Combinatorial analysis Kombinatorik Kombinatorische Analysis
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007424471&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT aignermartin combinatorialtheory

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