Verfügbarkeit: Proofs from THE BOOK | Technische Universität München

Proofs from THE BOOK:

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Bibliographische Detailangaben
Beteiligte Personen:	Aigner, Martin 1965- (VerfasserIn), Ziegler, Günter M. 1963- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin ; Heidelberg Springer [2014]
Ausgabe:	Fifth edition
Schlagwörter:	Mathematische Logik Mathematische Methode Mathematik Beweisführung Beweis Beispielsammlung
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=4712531&prov=M&dok_var=1&dok_ext=htm 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
Umfang:	VIII, 308 Seiten Illustrationen 242 mm x 193 mm
ISBN:	3662442043 9783662442043

Internformat

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Datensatz im Suchindex

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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
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indexdate	2024-12-20T17:01:05Z
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isbn	3662442043 9783662442043
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-027496222
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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 Mathematik (DE-588)4037944-9 gnd Beweisführung (DE-588)4227233-6 gnd Beweis (DE-588)4132532-1 gnd
subject_GND	(DE-588)4037951-6 (DE-588)4155620-3 (DE-588)4037944-9 (DE-588)4227233-6 (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	Mathematische Logik (DE-588)4037951-6 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematik (DE-588)4037944-9 gnd Beweisführung (DE-588)4227233-6 gnd Beweis (DE-588)4132532-1 gnd
topic_facet	Mathematische Logik Mathematische Methode Mathematik Beweisführung Beweis Beispielsammlung
url	http://deposit.dnb.de/cgi-bin/dokserv?id=4712531&prov=M&dok_var=1&dok_ext=htm 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
work_keys_str_mv	AT aignermartin proofsfromthebook AT zieglergunterm proofsfromthebook

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