Holdings: Proofs from the book

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Bibliographic Details
Main Authors:	Aigner, Martin 1942-2023 (Author), Ziegler, Günter M. 1963- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 1999
Edition:	2. corr. print.
Subjects:	Mathematik - Beweis - Beispielsammlung Mathematik Beweisführung Mathematische Logik Mathematische Methode Beweis Beispielsammlung
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 199 S. zahlr. Ill. und graph. Darst.
ISBN:	3540636986

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MARC


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Record in the Search Index

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adam_text	TABLE OF CONTENTS NUMBER THEORY 1 1. SIX PROOFS OF THE INFINITY OF PRIMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2. BERTRANDS 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 GEOMETRY 35 7. HILBERTS THIRD PROBLEM: DECOMPOSING POLYHEDRA . . . . . . . . . . . . . . . . .37 8. LINES IN THE PLANE AND DECOMPOSITIONS OF GRAPHS . . . . . . . . . . . . . . . . . 45 9. THE SLOPE PROBLEM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51 10. THREE APPLICATIONS OF EULERS FORMULA . . . . . . . . . . . . . . . . . . . . . . . . . . .57 11. CAUCHYS RIGIDITY THEOREM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 12. THE PROBLEM OF THE THIRTEEN SPHERES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 13. TOUCHING SIMPLICES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 14. EVERY LARGE POINT SET HAS AN OBTUSE ANGLE . . . . . . . . . . . . . . . . . . . . . . . .77 15. BORSUKS CONJECTURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .83 ANALYSIS 89 16. SETS, FUNCTIONS, AND THE CONTINUUM HYPOTHESIS . . . . . . . . . . . . . . . . . . . 91 17. IN PRAISE OF INEQUALITIES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 18. A THEOREM OF P´ OLYA ON POLYNOMIALS . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 19. ON A LEMMA OF LITTLEWOOD AND OFFORD . . . . . . . . . . . . . . . . . . . . . . . . . 117 VIII TABLE OF CONTENTS COMBINATORICS 121 20. PIGEON-HOLE AND DOUBLE COUNTING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 21. THREE FAMOUS THEOREMS ON FINITE SETS . . . . . . . . . . . . . . . . . . . . . . . . . . 135 22. CAYLEYS FORMULA FOR THE NUMBER OF TREES . . . . . . . . . . . . . . . . . . . . . . 141 23. COMPLETING LATIN SQUARES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 23. THE DINITZ PROBLEM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .153 GRAPH THEORY 159 25. FIVE-COLORING PLANE GRAPHS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 26. HOW TO GUARD A MUSEUM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 27. TUR´ AN*S GRAPH THEOREM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 28. COMMUNICATING WITHOUT ERRORS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .173 29. OF FRIENDS AND POLITICIANS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 30. PROBABILITY MAKES COUNTING (SOMETIMES) EASY . . . . . . . . . . . . . . . . . . 187 ABOUT THE ILLUSTRATIONS 196 INDEX 197
any_adam_object	1
author	Aigner, Martin 1942-2023 Ziegler, Günter M. 1963-
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indexdate	2025-02-20T07:17:45Z
institution	BVB
isbn	3540636986
language	English
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owner	DE-20 DE-824 DE-19 DE-BY-UBM DE-862 DE-BY-FWS DE-70 DE-706 DE-11 DE-188
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physical	VIII, 199 S. zahlr. Ill. und graph. Darst.
publishDate	1999
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publishDateSort	1999
publisher	Springer
record_format	marc
spellingShingle	Aigner, Martin 1942-2023 Ziegler, Günter M. 1963- Proofs from the book Mathematik - Beweis - Beispielsammlung Mathematik (DE-588)4037944-9 gnd Beweisführung (DE-588)4227233-6 gnd Mathematische Logik (DE-588)4037951-6 gnd Mathematische Methode (DE-588)4155620-3 gnd Beweis (DE-588)4132532-1 gnd
subject_GND	(DE-588)4037944-9 (DE-588)4227233-6 (DE-588)4037951-6 (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	Mathematik - Beweis - Beispielsammlung Mathematik (DE-588)4037944-9 gnd Beweisführung (DE-588)4227233-6 gnd Mathematische Logik (DE-588)4037951-6 gnd Mathematische Methode (DE-588)4155620-3 gnd Beweis (DE-588)4132532-1 gnd
topic_facet	Mathematik - Beweis - Beispielsammlung Mathematik Beweisführung Mathematische Logik Mathematische Methode Beweis Beispielsammlung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008476693&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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THWS Schweinfurt Zentralbibliothek Lesesaal

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Call Number:	2000 SK 130 A289
Copy 1	ausleihbar Available Place a Hold

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THWS Schweinfurt Zentralbibliothek Lesesaal

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