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:	Heidelberg [u.a.] Springer 2010
Edition:	4. ed.
Subjects:	Mathematik Mathematics Mathematische Methode Beweisführung Beweis Mathematische Logik Beispielsammlung
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 274 S. Ill., graph. Darst. 242 mm x 193 mm, 860 gr.
ISBN:	9783642008559 9783642008566

Staff View

MARC


LEADER	00000nam a2200000 c 4500
001	BV035712678
003	DE-604
005	20120917
007	t
008	090907s2010 gw ad\|\| \|\|\|\| 00\|\|\| eng d
015			\|a 09,N36,0715 \|2 dnb
016	7		\|a 99594685X \|2 DE-101
020			\|a 9783642008559 \|c GB. : EUR 42.75 (freier Pr.), sfr 66.50 (freier Pr.) \|9 978-3-642-00855-9
020			\|a 9783642008566 \|c ebook \|9 978-3-642-00856-6
024	3		\|a 9783642008559
028	5	2	\|a 12206872
035			\|a (OCoLC)449850458
035			\|a (DE-599)DNB99594685X
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c XA-DE-BE
049			\|a DE-20 \|a DE-19 \|a DE-384 \|a DE-11 \|a DE-29T \|a DE-703 \|a DE-188
050		0	\|a QA36
082	0		\|a 510
084			\|a SK 110 \|0 (DE-625)143215: \|2 rvk
084			\|a SK 130 \|0 (DE-625)143216: \|2 rvk
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. Incl. ill. by Karl H. Hofmann
250			\|a 4. ed.
264		1	\|a Heidelberg [u.a.] \|b Springer \|c 2010
300			\|a VIII, 274 S. \|b Ill., graph. Darst. \|c 242 mm x 193 mm, 860 gr.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
650		4	\|a Mathematik
650		4	\|a Mathematics
650	0	7	\|a Mathematische Methode \|0 (DE-588)4155620-3 \|2 gnd \|9 rswk-swf
650	0	7	\|a Beweisführung \|0 (DE-588)4227233-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Beweis \|0 (DE-588)4132532-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematik \|0 (DE-588)4037944-9 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematische Logik \|0 (DE-588)4037951-6 \|2 gnd \|9 rswk-swf
655		7	\|0 (DE-588)4144384-6 \|a Beispielsammlung \|2 gnd-content
689	0	0	\|a Beweis \|0 (DE-588)4132532-1 \|D s
689	0	1	\|a Mathematik \|0 (DE-588)4037944-9 \|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
856	4	2	\|m DNB Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017989579&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-017989579
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_	1804139919841427456
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. THE LAW OF QUADRATIC RECIPROCITY 23 6. EVERY FINITE DIVISION RING IS A FIELD 31 7. SOME IRRATIONAL NUMBERS 35 8. THREE TIMES TT 2 /6 43 GEOMETRY 51 9. HUBERT S THIRD PROBLEM: DECOMPOSING POLYHEDRA 53 10. LINES IN THE PLANE AND DECOMPOSITIONS OF GRAPHS 63 11. THE SLOPE PROBLEM 69 12. THREE APPLICATIONS OF EULER S FORMULA 75 13. CAUCHY S RIGIDITY THEOREM 81 14. TOUCHING SIMPLICES 85 15. EVERY LARGE POINT SET HAS AN OBTUSE ANGLE 89 16. BORSUK S CONJECTURE 95 ANALYSIS 101 17. SETS, FUNCTIONS, AND THE CONTINUUM HYPOTHESIS 103 18. IN PRAISE OF INEQUALITIES 119 19. THE FUNDAMENTAL THEOREM OF ALGEBRA 127 20. ONE SQUARE AND AN ODD NUMBER OF TRIANGLES 131 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/99594685X DIGITALISIERT DURCH INDEX 271 TABLE OF CONTENTS 21. A THEOREM OF POLYA ON POLYNOMIALS 139 22. ON A LEMMA OF LITTLEWOOD AND OFFORD 145 23. COTANGENT AND THE HERGLOTZ TRICK 149 24. BUFFON S NEEDLE PROBLEM 155 COMBINATORICS 159 25. PIGEON-HOLE AND DOUBLE COUNTING 161 26. TILING RECTANGLES 173 27. THREE FAMOUS THEOREMS ON FINITE SETS 179 28. SHUFFLING CARDS 185 29. LATTICE PATHS AND DETERMINANTS 195 30. CAYLEY S FORMULA FOR THE NUMBER OF TREES 201 31. IDENTITIES VERSUS BIJECTIONS 207 32. COMPLETING LATIN SQUARES 213 GRAPH THEORY 219 33. THE DINITZ PROBLEM 221 34. FIVE-COLORING PLANE GRAPHS 227 35. HOW TO GUARD A MUSEUM 231 36. TURAN S GRAPH THEOREM 235 37. COMMUNICATING WITHOUT ERRORS 241 38. THE CHROMATIC NUMBER OF KNESER GRAPHS 251 39. OF FRIENDS AND POLITICIANS 257 40. PROBABILITY MAKES COUNTING (SOMETIMES) EASY 261 ABOUT THE ILLUSTRATIONS 270
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	BV035712678
callnumber-first	Q - Science
callnumber-label	QA36
callnumber-raw	QA36
callnumber-search	QA36
callnumber-sort	QA 236
callnumber-subject	QA - Mathematics
classification_rvk	SK 110 SK 130
ctrlnum	(OCoLC)449850458 (DE-599)DNB99594685X
dewey-full	510
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	510 - Mathematics
dewey-raw	510
dewey-search	510
dewey-sort	3510
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	4. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02747nam a2200673 c 4500</leader><controlfield tag="001">BV035712678</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120917 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090907s2010 gw ad\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">09,N36,0715</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">99594685X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642008559</subfield><subfield code="c">GB. : EUR 42.75 (freier Pr.), sfr 66.50 (freier Pr.)</subfield><subfield code="9">978-3-642-00855-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642008566</subfield><subfield code="c">ebook</subfield><subfield code="9">978-3-642-00856-6</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783642008559</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">12206872</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)449850458</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB99594685X</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">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA36</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</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">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. Incl. ill. by Karl H. Hofmann</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">4. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Heidelberg [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 274 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield><subfield code="c">242 mm x 193 mm, 860 gr.</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="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 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">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">Beweis</subfield><subfield code="0">(DE-588)4132532-1</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">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="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">Beweis</subfield><subfield code="0">(DE-588)4132532-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><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=" "><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="856" ind1="4" ind2="2"><subfield code="m">DNB 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=017989579&sequence=000001&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:BVB01-017989579</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.BV035712678
illustrated	Illustrated
indexdate	2024-07-09T21:51:44Z
institution	BVB
isbn	9783642008559 9783642008566
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-017989579
oclc_num	449850458
open_access_boolean
owner	DE-20 DE-19 DE-BY-UBM DE-384 DE-11 DE-29T DE-703 DE-188
owner_facet	DE-20 DE-19 DE-BY-UBM DE-384 DE-11 DE-29T DE-703 DE-188
physical	VIII, 274 S. Ill., graph. Darst. 242 mm x 193 mm, 860 gr.
publishDate	2010
publishDateSearch	2010
publishDateSort	2010
publisher	Springer
record_format	marc
spelling	Aigner, Martin 1942-2023 Verfasser (DE-588)13205387X aut Proofs from The book Martin Aigner ; Günter M. Ziegler. Incl. ill. by Karl H. Hofmann 4. ed. Heidelberg [u.a.] Springer 2010 VIII, 274 S. Ill., graph. Darst. 242 mm x 193 mm, 860 gr. txt rdacontent n rdamedia nc rdacarrier Mathematik Mathematics Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Beweisführung (DE-588)4227233-6 gnd rswk-swf Beweis (DE-588)4132532-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content Beweis (DE-588)4132532-1 s Mathematik (DE-588)4037944-9 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 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017989579&sequence=000001&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 Mathematik Mathematics Mathematische Methode (DE-588)4155620-3 gnd Beweisführung (DE-588)4227233-6 gnd Beweis (DE-588)4132532-1 gnd Mathematik (DE-588)4037944-9 gnd Mathematische Logik (DE-588)4037951-6 gnd
subject_GND	(DE-588)4155620-3 (DE-588)4227233-6 (DE-588)4132532-1 (DE-588)4037944-9 (DE-588)4037951-6 (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. Incl. ill. by Karl H. Hofmann
title_fullStr	Proofs from The book Martin Aigner ; Günter M. Ziegler. Incl. ill. by Karl H. Hofmann
title_full_unstemmed	Proofs from The book Martin Aigner ; Günter M. Ziegler. Incl. ill. by Karl H. Hofmann
title_short	Proofs from The book
title_sort	proofs from the book
topic	Mathematik Mathematics Mathematische Methode (DE-588)4155620-3 gnd Beweisführung (DE-588)4227233-6 gnd Beweis (DE-588)4132532-1 gnd Mathematik (DE-588)4037944-9 gnd Mathematische Logik (DE-588)4037951-6 gnd
topic_facet	Mathematik Mathematics Mathematische Methode Beweisführung Beweis Mathematische Logik Beispielsammlung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017989579&sequence=000001&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