Verfügbarkeit: Proofs from the book

Proofs from the book:

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Bibliographische Detailangaben
Hauptverfasser:	Aigner, Martin 1942-2023 (VerfasserIn), Ziegler, Günter M. 1963- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Springer 2001
Ausgabe:	2. ed.
Schlagworte:	Mathematik Mathematics Mathematische Methode Beweis Mathematische Logik Beweisführung Beispielsammlung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	VIII, 215 S. zahlr. Ill., graph. Darst.
ISBN:	3540678654 3540636986

Internformat

MARC


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Datensatz im Suchindex

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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 Geometry 37 7. Hilbert s third problem: decomposing polyhedra 39 8. Lines in the plane and decompositions of graphs 47 9. The slope problem 53 10. Three applications of Euler s formula 59 1 1. Cauchy s rigidity theorem 65 12. Touching simplices 69 13. Every large point set has an obtuse angle 73 14. Borsuk s conjecture 79 Analysis 85 15. Sets, functions, and the continuum hypothesis 87 16. In praise of inequalities 99 17. A theorem of Polya on polynomials 107 18. On a lemma of Littlewood and Offord 115 19. Cotangent and the Herglotz trick 119 20. Button s needle problem 125 Combinatorics 129 21. Pigeon hole and double counting 131 22. Three famous theorems on finite sets 143 23. Lattice paths and determinants 149 24. Cayley s formula for the number of trees 155 25. Completing Latin squares 161 26. The Dinitz problem 167 Graph Theory 173 27. Five coloring plane graphs 175 28. How to guard a museum 179 29. Turan s graph theorem 183 30. Communicating without errors 189 31. Of friends and politicians 199 32. Probability makes counting (sometimes) easy 203 About the Illustrations 212 Index 213
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-
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dewey-ones	510 - Mathematics
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discipline	Mathematik
edition	2. ed.
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indexdate	2024-07-09T18:45:14Z
institution	BVB
isbn	3540678654 3540636986
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009143783
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physical	VIII, 215 S. zahlr. Ill., graph. Darst.
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spelling	Aigner, Martin 1942-2023 Verfasser (DE-588)13205387X aut Proofs from the book Martin Aigner ; Günter M. Ziegler 2. ed. Berlin [u.a.] Springer 2001 VIII, 215 S. zahlr. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Mathematics Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Beweis (DE-588)4132532-1 gnd rswk-swf 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 (DE-588)4144384-6 Beispielsammlung gnd-content Mathematik (DE-588)4037944-9 s Beweisführung (DE-588)4227233-6 s DE-604 Beweis (DE-588)4132532-1 s DE-188 Mathematische Logik (DE-588)4037951-6 s 1\p DE-604 Mathematische Methode (DE-588)4155620-3 s 2\p DE-604 Ziegler, Günter M. 1963- Verfasser (DE-588)121062155 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009143783&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 2\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 Beweis (DE-588)4132532-1 gnd Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd Beweisführung (DE-588)4227233-6 gnd
subject_GND	(DE-588)4155620-3 (DE-588)4132532-1 (DE-588)4037951-6 (DE-588)4037944-9 (DE-588)4227233-6 (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
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 Mathematics Mathematische Methode (DE-588)4155620-3 gnd Beweis (DE-588)4132532-1 gnd Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd Beweisführung (DE-588)4227233-6 gnd
topic_facet	Mathematik Mathematics Mathematische Methode Beweis Mathematische Logik Beweisführung Beispielsammlung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009143783&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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