Verfügbarkeit: Principles of combinatorics | Technische Universität München

Principles of combinatorics:

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Bibliographische Detailangaben
Beteilige Person:	Berge, Claude 1926-2002 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York u.a. Acad. Press 1971
Schriftenreihe:	Mathematics in science and engineering 72
Schlagwörter:	Grundlage Kombinatorik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686948&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VIII, 176 S.
ISBN:	0120897504

Internformat

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Datensatz im Suchindex

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adam_text	CONTENTS Foreword vii What Is Combinatorics? First Aspect: Study of a Known Configuration 3 Second Aspect: Investigation of an Unknown Configuration 3 Third Aspect: Counting Configurations 5 Fourth Aspect: Approximate Counting of Configurations 7 Fifth Aspect: Enumeration of Configurations 8 Sixth Aspect: Optimization 9 References 10 1. The Elementary Counting Functions 1. Mappings of Finite Sets 13 2. The Cardinality of the Cartesian Product A x X 16 3. Number of Subsets of a Finite Set A 17 4. Numbers m , or Mappings of X into A 19 5. Number [m]n, or Injections of A1 into A 19 6. Numbers [m] 22 7. Numbers [m] ln , or Increasing Mappings of Xinto A 23 8. Binomial Numbers 25 / n 9. Multinomial Numbers I I 32 hi , n2,¦¦¦, »p 10. Stirling Numbers Snm, or Partitions of n Objects into m Classes 37 11. Bell Exponential Number Bn, or the Number of Partitions of n Objects 42 References 44 2. Partition Problems 1. /V, or the Number of Partitions of Integer n into m Parts 47 2. Pn,h, or the Number of Partitions of the Integer n Having h as the Smallest Part . 56 v vi CONTENTS 3. Counting the Standard Tableaus Associated with a Partition of n 59 4. Standard Tableaus and Young s Lattice 69 References 71 3. Inversion Formulas and Their Applications 1. Differential Operator Associated with a Family of Polynomials 73 2. The Mobius Function 80 3. Sieve Formulas 88 4. Distributions 95 5. Counting Trees 99 References 109 4. Permutation Groups 1. Introduction 111 2. Cycles of a Permutation 119 3. Orbits of a Permutation Group 123 4. Parity of a Permutation 126 5. Decomposition Problems 139 References 147 5. Polya s Theorem 1. Counting Schemata Relative to a Group of Permutations of Objects 149 2. Counting Schemata Relative to an Arbitrary Group 156 3. A Theorem of de Bruijn 164 4. Computing the Cycle Index 170 References 173 Index 175
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id	DE-604.BV002625163
illustrated	Not Illustrated
indexdate	2024-12-20T07:52:59Z
institution	BVB
isbn	0120897504
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001686948
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open_access_boolean
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physical	VIII, 176 S.
publishDate	1971
publishDateSearch	1971
publishDateSort	1971
publisher	Acad. Press
record_format	marc
series	Mathematics in science and engineering
series2	Mathematics in science and engineering
spellingShingle	Berge, Claude 1926-2002 Principles of combinatorics Mathematics in science and engineering Grundlage (DE-588)4158388-7 gnd Kombinatorik (DE-588)4031824-2 gnd
subject_GND	(DE-588)4158388-7 (DE-588)4031824-2
title	Principles of combinatorics
title_alt	Principes de combinatoire
title_auth	Principles of combinatorics
title_exact_search	Principles of combinatorics
title_full	Principles of combinatorics C. Berge
title_fullStr	Principles of combinatorics C. Berge
title_full_unstemmed	Principles of combinatorics C. Berge
title_short	Principles of combinatorics
title_sort	principles of combinatorics
topic	Grundlage (DE-588)4158388-7 gnd Kombinatorik (DE-588)4031824-2 gnd
topic_facet	Grundlage Kombinatorik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686948&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000001196
work_keys_str_mv	AT bergeclaude principesdecombinatoire AT bergeclaude principlesofcombinatorics

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