Proofs from the book:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | VIII, 239 S. Ill., graph. Darst. |
| ISBN: | 3540404600 |
Internformat
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Datensatz im Suchindex
| _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 |
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| 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 |
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| physical | VIII, 239 S. Ill., graph. Darst. |
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| 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 |
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| 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 |
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