Holdings: Combinatorial theory

Combinatorial theory:

Saved in:

Bibliographic Details
Main Author:	Aigner, Martin 1942-2023 (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 1997
Edition:	Reprint of the 1979 ed.
Series:	Classics in mathematics
Subjects:	Combinatorial analysis Kombinatorik Kombinatorische Analysis
Online Access:	Inhaltsverzeichnis
Item Description:	Auch als: Grundlehren der mathematischen Wissenschaften ; 234
Physical Description:	VIII, 483 S. Ill.
ISBN:	3540617876

Staff View

MARC


LEADER	00000nam a2200000 c 4500
001	BV011081787
003	DE-604
005	20171012
007	t
008	961118r1997uuuugw a\|\|\| \|\|\|\| 00\|\|\| eng d
016	7		\|a 949037516 \|2 DE-101
020			\|a 3540617876 \|9 3-540-61787-6
035			\|a (OCoLC)263632442
035			\|a (DE-599)BVBBV011081787
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-384 \|a DE-29T \|a DE-898 \|a DE-19 \|a DE-703 \|a DE-521 \|a DE-523 \|a DE-634 \|a DE-83 \|a DE-11 \|a DE-188
050		0	\|a QA164.A36 1997
082	0		\|a 511/.6 21
084			\|a SK 170 \|0 (DE-625)143221: \|2 rvk
084			\|a 05Bxx \|2 msc
084			\|a 27 \|2 sdnb
100	1		\|a Aigner, Martin \|d 1942-2023 \|e Verfasser \|0 (DE-588)13205387X \|4 aut
245	1	0	\|a Combinatorial theory \|c Martin Aigner
250			\|a Reprint of the 1979 ed.
264		1	\|a Berlin [u.a.] \|b Springer \|c 1997
300			\|a VIII, 483 S. \|b Ill.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Classics in mathematics
500			\|a Auch als: Grundlehren der mathematischen Wissenschaften ; 234
650		4	\|a Combinatorial analysis
650	0	7	\|a Kombinatorik \|0 (DE-588)4031824-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Kombinatorische Analysis \|0 (DE-588)4164746-4 \|2 gnd \|9 rswk-swf
689	0	0	\|a Kombinatorik \|0 (DE-588)4031824-2 \|D s
689	0		\|5 DE-604
689	1	0	\|a Kombinatorische Analysis \|0 (DE-588)4164746-4 \|D s
689	1		\|8 1\p \|5 DE-604
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u 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 \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-007424471
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk

Record in the Search Index

_version_	1804125573399707648
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
author_GND	(DE-588)13205387X
author_facet	Aigner, Martin 1942-2023
author_role	aut
author_sort	Aigner, Martin 1942-2023
author_variant	m a ma
building	Verbundindex
bvnumber	BV011081787
callnumber-first	Q - Science
callnumber-label	QA164
callnumber-raw	QA164.A36 1997
callnumber-search	QA164.A36 1997
callnumber-sort	QA 3164 A36 41997
callnumber-subject	QA - Mathematics
classification_rvk	SK 170
ctrlnum	(OCoLC)263632442 (DE-599)BVBBV011081787
dewey-full	511/.621
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	511 - General principles of mathematics
dewey-raw	511/.6 21
dewey-search	511/.6 21
dewey-sort	3511 16 221
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	Reprint of the 1979 ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01831nam a2200481 c 4500</leader><controlfield tag="001">BV011081787</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171012 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">961118r1997uuuugw a\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">949037516</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540617876</subfield><subfield code="9">3-540-61787-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)263632442</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011081787</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-523</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA164.A36 1997</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.6 21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 170</subfield><subfield code="0">(DE-625)143221:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05Bxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">27</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Aigner, Martin</subfield><subfield code="d">1942-2023</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)13205387X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Combinatorial theory</subfield><subfield code="c">Martin Aigner</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint of the 1979 ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 483 S.</subfield><subfield code="b">Ill.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Classics in mathematics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Auch als: Grundlehren der mathematischen Wissenschaften ; 234</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorik</subfield><subfield code="0">(DE-588)4031824-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorische Analysis</subfield><subfield code="0">(DE-588)4164746-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kombinatorik</subfield><subfield code="0">(DE-588)4031824-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Kombinatorische Analysis</subfield><subfield code="0">(DE-588)4164746-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007424471</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection>
id	DE-604.BV011081787
illustrated	Illustrated
indexdate	2024-07-09T18:03:42Z
institution	BVB
isbn	3540617876
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007424471
oclc_num	263632442
open_access_boolean
owner	DE-384 DE-29T DE-898 DE-BY-UBR DE-19 DE-BY-UBM DE-703 DE-521 DE-523 DE-634 DE-83 DE-11 DE-188
owner_facet	DE-384 DE-29T DE-898 DE-BY-UBR DE-19 DE-BY-UBM DE-703 DE-521 DE-523 DE-634 DE-83 DE-11 DE-188
physical	VIII, 483 S. Ill.
publishDate	1997
publishDateSearch	1997
publishDateSort	1997
publisher	Springer
record_format	marc
series2	Classics in mathematics
spelling	Aigner, Martin 1942-2023 Verfasser (DE-588)13205387X aut Combinatorial theory Martin Aigner Reprint of the 1979 ed. Berlin [u.a.] Springer 1997 VIII, 483 S. Ill. txt rdacontent n rdamedia nc rdacarrier Classics in mathematics Auch als: Grundlehren der mathematischen Wissenschaften ; 234 Combinatorial analysis Kombinatorik (DE-588)4031824-2 gnd rswk-swf Kombinatorische Analysis (DE-588)4164746-4 gnd rswk-swf Kombinatorik (DE-588)4031824-2 s DE-604 Kombinatorische Analysis (DE-588)4164746-4 s 1\p DE-604 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
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

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items