Proofs from THE BOOK:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
[2014]
|
| Ausgabe: | Fifth edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | VIII, 308 Seiten Illustrationen 242 mm x 193 mm |
| ISBN: | 3662442043 9783662442043 |
Internformat
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Datensatz im Suchindex
| _version_ | 1806328971861688320 |
|---|---|
| adam_text |
NUMBER THEORY 1
1. SIX PROOFS OF THE INFINITY OF PRIMES 3
2. BERTRAND'S POSTULATE 9
3. BINOMIAL COEFFICIENTS ARE (ALMOST) NEVER POWERS 15
4. REPRESENTING NUMBERS AS SUMS OF TWO SQUARES 19
5. THE LAW OF QUADRATIC RECIPROCITY 25
6. EVERY FINITE DIVISION RING IS A FIELD 33
7. THE SPECTRAL THEOREM AND HADAMARD'S DETERMINANT PROBLEM 37
8. SOME IRRATIONAL NUMBERS 45
9. THREE TIMES 7R
2
/6 53
GEOMETRY 61
10. HILBERT'S THIRD PROBLEM: DECOMPOSING POLYHEDRA 63
11. LINES IN THE PLANE AND DECOMPOSITIONS OF GRAPHS 73
12. THE SLOPE PROBLEM 79
13. THREE APPLICATIONS OF EULER'S FORMULA 85
14. CAUCHY'S RIGIDITY THEOREM 91
15. THE BORROMEAN RINGS DON'T EXIST 95
16. TOUCHING SIMPLICES 103
17. EVERY LARGE POINT SET HAS AN OBTUSE ANGLE 107
18. BORSUK'S CONJECTURE 113
ANALYSIS 121
19. SETS, FUNCTIONS, AND THE CONTINUUM HYPOTHESIS 123
20. IN PRAISE OF INEQUALITIES 139
21. THE FUNDAMENTAL THEOREM OF ALGEBRA 147
22. ONE SQUARE AND AN ODD NUMBER OF TRIANGLES 151
HTTP://D-NB.INFO/1053831323
TABLE OF CONTENTS
23. A THEOREM OF POLYA ON POLYNOMIALS 159
24. ON A LEMMA OF LITTLEWOOD AND OFFORD 165
25. COTANGENT AND THE HERGLOTZ TRICK 169
26. BUFFON'S NEEDLE PROBLEM 175
COMBINATORICS 179
27. PIGEON-HOLE AND DOUBLE COUNTING 181
28. TILING RECTANGLES 193
29. THREE FAMOUS THEOREMS ON FINITE SETS 199
30. SHUFFLING CARDS 205
31. LATTICE PATHS AND DETERMINANTS 215
32. CAYLEY'S FORMULA FOR THE NUMBER OF TREES 221
33. IDENTITIES VERSUS BIJECTIONS 227
34. THE FINITE KAKEYA PROBLEM 233
35. COMPLETING LATIN SQUARES 239
GRAPH THEORY 245
36. THE DINITZ PROBLEM 247
37. PERMANENTS AND THE POWER OF ENTROPY 253
38. FIVE-COLORING PLANE GRAPHS 261
39. HOW TO GUARD A MUSEUM 265
40. TURAN'S GRAPH THEOREM 269
41. COMMUNICATING WITHOUT ERRORS 275
42. THE CHROMATIC NUMBER OF KNESER GRAPHS 285
43. OF FRIENDS AND POLITICIANS 291
44. PROBABILITY MAKES COUNTING (SOMETIMES) EASY 295
ABOUT THE ILLUSTRATIONS 304
INDEX 305 |
| any_adam_object | 1 |
| author | Aigner, Martin 1965- Ziegler, Günter M. 1963- |
| author_GND | (DE-588)1047610698 (DE-588)121062155 |
| author_facet | Aigner, Martin 1965- Ziegler, Günter M. 1963- |
| author_role | aut aut |
| author_sort | Aigner, Martin 1965- |
| author_variant | m a ma g m z gm gmz |
| building | Verbundindex |
| bvnumber | BV042055218 |
| classification_rvk | SG 590 SK 110 SK 130 |
| classification_tum | MAT 050f |
| ctrlnum | (OCoLC)884579157 (DE-599)DNB1053831323 |
| 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 | Fifth edition |
| format | Book |
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| id | DE-604.BV042055218 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T01:45:46Z |
| institution | BVB |
| isbn | 3662442043 9783662442043 |
| language | English |
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| physical | VIII, 308 Seiten Illustrationen 242 mm x 193 mm |
| publishDate | 2014 |
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| publishDateSort | 2014 |
| publisher | Springer |
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| spelling | Aigner, Martin 1965- Verfasser (DE-588)1047610698 aut Proofs from THE BOOK Martin Aigner, Günter M. Ziegler Fifth edition Berlin ; Heidelberg Springer [2014] VIII, 308 Seiten Illustrationen 242 mm x 193 mm txt rdacontent n rdamedia nc rdacarrier Mathematische Logik (DE-588)4037951-6 gnd rswk-swf 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 (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 Paralle Sprachausgabe deutsch Aigner, Martin Das Buch der Beweise Erscheint auch als Online-Ausgabe 978-3-662-44205-0 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4712531&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027496222&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 1965- Ziegler, Günter M. 1963- Proofs from THE BOOK Mathematische Logik (DE-588)4037951-6 gnd 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 |
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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 | Mathematische Logik (DE-588)4037951-6 gnd 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 |
| topic_facet | Mathematische Logik Mathematische Methode Beweisführung Beweis Mathematik Beispielsammlung |
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