Holdings: Proofs from the book

Proofs from the book:

Saved in:

Bibliographic Details
Main Authors:	Aigner, Martin 1942-2023 (Author), Ziegler, Günter M. 1963- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2004
Edition:	3. ed.
Subjects:	Bewijs (wetenschap) Matemática Wiskunde Mathematik Mathematics Mathematische Logik Beweisführung Mathematische Methode Beweis Beispielsammlung
Online Access:	Inhaltsverzeichnis
Item Description:	Includes bibliographical references and index
Physical Description:	VIII, 239 S. Ill., graph. Darst.
ISBN:	3540404600

Staff View

MARC


LEADER	00000nam a2200000zc 4500
001	BV017428789
003	DE-604
005	20171012
007	t
008	030819s2004 gw ad\|\| \|\|\|\| 00\|\|\| eng d
010			\|a 2003060832
016	7		\|a 968515568 \|2 DE-101
020			\|a 3540404600 \|9 3-540-40460-0
035			\|a (OCoLC)52821313
035			\|a (DE-599)BVBBV017428789
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-703 \|a DE-860 \|a DE-384 \|a DE-521 \|a DE-634 \|a DE-11 \|a DE-188
050		0	\|a QA36.A36 2004
082	0		\|a 510 \|2 22
082	0		\|a 510 22
084			\|a SK 110 \|0 (DE-625)143215: \|2 rvk
084			\|a SK 130 \|0 (DE-625)143216: \|2 rvk
084			\|a 27 \|2 sdnb
084			\|a 510 \|2 sdnb
100	1		\|a Aigner, Martin \|d 1942-2023 \|e Verfasser \|0 (DE-588)13205387X \|4 aut
245	1	0	\|a Proofs from the book \|c Martin Aigner ; Günter M. Ziegler
250			\|a 3. ed.
264		1	\|a Berlin [u.a.] \|b Springer \|c 2004
300			\|a VIII, 239 S. \|b Ill., graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
500			\|a Includes bibliographical references and index
650		7	\|a Bewijs (wetenschap) \|2 gtt
650		7	\|a Matemática \|2 larpcal
650		7	\|a Wiskunde \|2 gtt
650		4	\|a Mathematik
650		4	\|a Mathematics
650	0	7	\|a Mathematische Logik \|0 (DE-588)4037951-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematik \|0 (DE-588)4037944-9 \|2 gnd \|9 rswk-swf
650	0	7	\|a Beweisführung \|0 (DE-588)4227233-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematische Methode \|0 (DE-588)4155620-3 \|2 gnd \|9 rswk-swf
650	0	7	\|a Beweis \|0 (DE-588)4132532-1 \|2 gnd \|9 rswk-swf
655		7	\|0 (DE-588)4144384-6 \|a Beispielsammlung \|2 gnd-content
689	0	0	\|a Mathematik \|0 (DE-588)4037944-9 \|D s
689	0	1	\|a Beweis \|0 (DE-588)4132532-1 \|D s
689	0		\|5 DE-604
689	1	0	\|a Mathematik \|0 (DE-588)4037944-9 \|D s
689	1	1	\|a Beweisführung \|0 (DE-588)4227233-6 \|D s
689	1		\|8 1\p \|5 DE-604
689	2	0	\|a Mathematische Logik \|0 (DE-588)4037951-6 \|D s
689	2		\|8 2\p \|5 DE-604
689	3	0	\|a Mathematische Methode \|0 (DE-588)4155620-3 \|D s
689	3		\|8 3\p \|5 DE-604
700	1		\|a Ziegler, Günter M. \|d 1963- \|e Verfasser \|0 (DE-588)121062155 \|4 aut
775	0	8	\|i Paralle Sprachausgabe \|n deutsch \|a Aigner, Martin \|t Das Buch der Beweise \|w (DE-604)BV017429924
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=010501661&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-010501661
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 2\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 3\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk

Record in the Search Index

_version_	1804130241963098112
adam_text	Table of Contents Number Theory 1 1. Six proofs of the infinity of primes 3 2. Bertrand s postulate 7 3. Binomial coefficients are (almost) never powers 13 4. Representing numbers as sums of two squares 17 5. Every finite division ring is a field 23 6. Some irrational numbers 27 7. Three times tt2/6 35 Geometry 43 8. Hilbert s third problem: decomposing polyhedra 45 9. Lines in the plane and decompositions of graphs 53 10. The slope problem 59 11. Three applications of Euler s formula 65 12. Cauchy s rigidity theorem 71 13. Touching simplices 75 14. Every large point set has an obtuse angle 79 15. Borsuk s conjecture 85 Analysis 91 16. Sets, functions, and the continuum hypothesis 93 17. In praise of inequalities 109 18. A theorem of Polya on polynomials 117 19. On a lemma of Littlewood and Offord 123 20. Cotangent and the Herglotz trick 127 21. Buffon s needle problem 133 Combinatorics 137 22. Pigeon hole and double counting 139 23. Three famous theorems on finite sets 151 24. Shuffling cards 157 25. Lattice paths and determinants 167 26. Cayley s formula for the number of trees 173 27. Completing Latin squares 179 28. The Dinitz problem 185 29. Identities versus bijections 191 Graph Theory 197 30. Five coloring plane graphs 199 31. How to guard a museum 203 32. Turan s graph theorem 207 33. Communicating without errors 213 34. Of friends and politicians 223 35. Probability makes counting (sometimes) easy 227 About the Illustrations 236 Index 237
any_adam_object	1
author	Aigner, Martin 1942-2023 Ziegler, Günter M. 1963-
author_GND	(DE-588)13205387X (DE-588)121062155
author_facet	Aigner, Martin 1942-2023 Ziegler, Günter M. 1963-
author_role	aut aut
author_sort	Aigner, Martin 1942-2023
author_variant	m a ma g m z gm gmz
building	Verbundindex
bvnumber	BV017428789
callnumber-first	Q - Science
callnumber-label	QA36
callnumber-raw	QA36.A36 2004
callnumber-search	QA36.A36 2004
callnumber-sort	QA 236 A36 42004
callnumber-subject	QA - Mathematics
classification_rvk	SK 110 SK 130
ctrlnum	(OCoLC)52821313 (DE-599)BVBBV017428789
dewey-full	510 51022
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	510 - Mathematics
dewey-raw	510 510 22
dewey-search	510 510 22
dewey-sort	3510
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	3. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02844nam a2200721zc 4500</leader><controlfield tag="001">BV017428789</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171012 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">030819s2004 gw ad\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2003060832</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">968515568</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540404600</subfield><subfield code="9">3-540-40460-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)52821313</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017428789</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</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-703</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA36.A36 2004</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">22</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510 22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 110</subfield><subfield code="0">(DE-625)143215:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 130</subfield><subfield code="0">(DE-625)143216:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">27</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</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">Proofs from the book</subfield><subfield code="c">Martin Aigner ; Günter M. Ziegler</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">3. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 239 S.</subfield><subfield code="b">Ill., graph. Darst.</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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Bewijs (wetenschap)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Matemática</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Wiskunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Logik</subfield><subfield code="0">(DE-588)4037951-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Beweisführung</subfield><subfield code="0">(DE-588)4227233-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Methode</subfield><subfield code="0">(DE-588)4155620-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Beweis</subfield><subfield code="0">(DE-588)4132532-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4144384-6</subfield><subfield code="a">Beispielsammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Beweis</subfield><subfield code="0">(DE-588)4132532-1</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">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Beweisführung</subfield><subfield code="0">(DE-588)4227233-6</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="689" ind1="2" ind2="0"><subfield code="a">Mathematische Logik</subfield><subfield code="0">(DE-588)4037951-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Mathematische Methode</subfield><subfield code="0">(DE-588)4155620-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ziegler, Günter M.</subfield><subfield code="d">1963-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121062155</subfield><subfield code="4">aut</subfield></datafield><datafield tag="775" ind1="0" ind2="8"><subfield code="i">Paralle Sprachausgabe</subfield><subfield code="n">deutsch</subfield><subfield code="a">Aigner, Martin</subfield><subfield code="t">Das Buch der Beweise</subfield><subfield code="w">(DE-604)BV017429924</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=010501661&sequence=000003&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:BVB01-010501661</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><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\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><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\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>
genre	(DE-588)4144384-6 Beispielsammlung gnd-content
genre_facet	Beispielsammlung
id	DE-604.BV017428789
illustrated	Illustrated
indexdate	2024-07-09T19:17:55Z
institution	BVB
isbn	3540404600
language	English
lccn	2003060832
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-010501661
oclc_num	52821313
open_access_boolean
owner	DE-703 DE-860 DE-384 DE-521 DE-634 DE-11 DE-188
owner_facet	DE-703 DE-860 DE-384 DE-521 DE-634 DE-11 DE-188
physical	VIII, 239 S. Ill., graph. Darst.
publishDate	2004
publishDateSearch	2004
publishDateSort	2004
publisher	Springer
record_format	marc
spelling	Aigner, Martin 1942-2023 Verfasser (DE-588)13205387X aut Proofs from the book Martin Aigner ; Günter M. Ziegler 3. ed. Berlin [u.a.] Springer 2004 VIII, 239 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Bewijs (wetenschap) gtt Matemática larpcal Wiskunde gtt Mathematik Mathematics Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Beweisführung (DE-588)4227233-6 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Beweis (DE-588)4132532-1 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content Mathematik (DE-588)4037944-9 s Beweis (DE-588)4132532-1 s DE-604 Beweisführung (DE-588)4227233-6 s 1\p DE-604 Mathematische Logik (DE-588)4037951-6 s 2\p DE-604 Mathematische Methode (DE-588)4155620-3 s 3\p DE-604 Ziegler, Günter M. 1963- Verfasser (DE-588)121062155 aut Paralle Sprachausgabe deutsch Aigner, Martin Das Buch der Beweise (DE-604)BV017429924 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010501661&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Aigner, Martin 1942-2023 Ziegler, Günter M. 1963- Proofs from the book Bewijs (wetenschap) gtt Matemática larpcal Wiskunde gtt Mathematik Mathematics Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd Beweisführung (DE-588)4227233-6 gnd Mathematische Methode (DE-588)4155620-3 gnd Beweis (DE-588)4132532-1 gnd
subject_GND	(DE-588)4037951-6 (DE-588)4037944-9 (DE-588)4227233-6 (DE-588)4155620-3 (DE-588)4132532-1 (DE-588)4144384-6
title	Proofs from the book
title_auth	Proofs from the book
title_exact_search	Proofs from the book
title_full	Proofs from the book Martin Aigner ; Günter M. Ziegler
title_fullStr	Proofs from the book Martin Aigner ; Günter M. Ziegler
title_full_unstemmed	Proofs from the book Martin Aigner ; Günter M. Ziegler
title_short	Proofs from the book
title_sort	proofs from the book
topic	Bewijs (wetenschap) gtt Matemática larpcal Wiskunde gtt Mathematik Mathematics Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd Beweisführung (DE-588)4227233-6 gnd Mathematische Methode (DE-588)4155620-3 gnd Beweis (DE-588)4132532-1 gnd
topic_facet	Bewijs (wetenschap) Matemática Wiskunde Mathematik Mathematics Mathematische Logik Beweisführung Mathematische Methode Beweis Beispielsammlung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010501661&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT aignermartin proofsfromthebook AT zieglergunterm proofsfromthebook

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