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Bibliographic Details
Main Authors:	Aigner, Martin 1942-2023 (Author), Ziegler, Günter M. 1963- (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin [u.a.] Springer 2014
Edition:	5. ed.
Subjects:	Mathematik Mathematische Methode Beweisführung Beweis Mathematische Logik Beispielsammlung
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (VIII, 308 S.) Ill., graph. Darst.
ISBN:	9783662442043 9783662442050
DOI:	10.1007/978-3-662-44205-0

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Record in the Search Index

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adam_text	PROOFS FROM THE BOOK / AIGNER, MARTIN : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS NUMBER THEORY: 1. SIX PROOFS OF THE INFINITY OF PRIMES 2. BERTRAND’S POSTULATE 3. BINOMIAL COEFFICIENTS ARE (ALMOST) NEVER POWERS 4. REPRESENTING NUMBERS AS SUMS OF TWO SQUARES 5. THE LAW OF QUADRATIC RECIPROCITY 6. EVERY FINITE DIVISION RING IS A FIELD 7. THE SPECTRAL THEOREM AND HADAMARD’S DETERMINANT PROBLEM 8. SOME IRRATIONAL NUMBERS 9. THREE TIMES Π2/6 GEOMETRY: 10. HILBERT’S THIRD PROBLEM: DECOMPOSING POLYHEDRAL 11. LINES IN THE PLANE AND DECOMPOSITIONS OF GRAPHS 12. THE SLOPE PROBLEM 13. THREE APPLICATIONS OF EULER’S FORMULA 14. CAUCHY’S RIGIDITY THEOREM 15. THE BORROMEAN RINGS DON’T EXIST 16. TOUCHING SIMPLICES 17. EVERY LARGE POINT SET HAS AN OBTUSE ANGLE 18. BORSUK’S CONJECTURE ANALYSIS: 19. SETS, FUNCTIONS, AND THE CONTINUUM HYPOTHESIS 20. IN PRAISE OF INEQUALITIES 21. THE FUNDAMENTAL THEOREM OF ALGEBRA 22. ONE SQUARE AND AN ODD NUMBER OF TRIANGLES 23. A THEOREM OF POLYA ON POLYNOMIALS 24. ON A LEMMA OF LITTLEWOOD AND OFFORD 25. COTANGENT AND THE HERGLOTZ TRICK 26. BUFFON’S NEEDLE PROBLEM COMBINATORICS: 27. PIGEON-HOLE AND DOUBLE COUNTING 28. TILING RECTANGLES 29. THREE FAMOUS THEOREMS ON FINITE SETS 30. SHUFFLING CARDS 31. LATTICE PATHS AND DETERMINANTS 32. CAYLEY’S FORMULA FOR THE NUMBER OF TREES 33. IDENTITIES VERSUS BIJECTIONS 34. THE FINITE KAKEYA PROBLEM 35. COMPLETING LATIN SQUARES GRAPH THEORY: 36. THE DINITZ PROBLEM 37. PERMANENTS AND THE PO WER OF ENTROPY 38. FIVE-COLORING PLANE GRAPHS 39. HOW TO GUARD A MUSEUM 40. TURAN’S GRAPH THEOREM 41. COMMUNICATING WITHOUT ERRORS 42. THE CHROMATIC NUMBER OF KNESER GRAPHS 43. OF FRIENDS AND POLITICIANS 44. PROBABILITY MAKES COUNTING (SOMETIMES) EASY ABOUT THE ILLUSTRATIONS INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. PROOFS FROM THE BOOK / AIGNER, MARTIN : 2014 ABSTRACT / INHALTSTEXT THIS REVISED AND ENLARGED FIFTH EDITIONFEATURES FOUR NEW CHAPTERS, WHICH CONTAIN HIGHLY ORIGINAL AND DELIGHTFUL PROOFS FOR CLASSICS SUCH AS THE SPECTRAL THEOREM FROM LINEAR ALGEBRA, SOME MORE RECENT JEWELS LIKE THE NON-EXISTENCE OF THE BORROMEAN RINGS AND OTHER SURPRISES. FROM THE REVIEWS ... INSIDE PFTB (PROOFS FROM THE BOOK) IS INDEED A GLIMPSE OF MATHEMATICAL HEAVEN, WHERE CLEVER INSIGHTS AND BEAUTIFUL IDEAS COMBINE IN ASTONISHING AND GLORIOUS WAYS. THERE IS VAST WEALTH WITHIN ITS PAGES, ONE GEM AFTER ANOTHER. ... AIGNER AND ZIEGLER... WRITE: ... ALL WE OFFER IS THE EXAMPLES THAT WE HAVE SELECTED, HOPING THAT OUR READERS WILL SHARE OUR ENTHUSIASM ABOUT BRILLIANT IDEAS, CLEVER INSIGHTS AND WONDERFUL OBSERVATIONS. I DO. ... NOTICES OF THE AMS, AUGUST 1999 ... THIS BOOK IS A PLEASURE TO HOLD AND TO LOOK AT: AMPLE MARGINS, NICE PHOTOS, INSTRUCTIVE PICTURES, AND BEAUTIFUL DRAWINGS ... IT IS A PLEASURE TO READ AS WELL: THE STYLE IS CLEAR AND ENTERTAINING, THE LEVEL IS CLOSE TO ELEMENTARY, THE NECESSARY BACKGROUND IS GIVEN SEPARATELY, AND THE PROOFS ARE BRILLIANT. ... LMS NEWSLETTER, JANUARY 1999 MARTIN AIGNER AND GUENTER ZIEGLER SUCCEEDED ADMIRABLY IN PUTTING TOGETHER A BROAD COLLECTION OF THEOREMS AND THEIR PROOFS THAT WOULD UNDOUBTEDLY BE IN THE BOOK OF ERDOES. THE THEOREMS ARE SO FUNDAMENTAL, THEIR PROOFS SO ELEGANT, AND THE REMAINING OPEN QUESTIONS SO INTRIGUING THAT EVERY MA THEMATICIAN, REGARDLESS OF SPECIALITY, CAN BENEFIT FROM READING THIS BOOK. ... SIGACT NEWS, DECEMBER 2011 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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doi_str_mv	10.1007/978-3-662-44205-0
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spelling	Aigner, Martin 1942-2023 Verfasser (DE-588)13205387X aut Proofs from the book Martin Aigner ; Günter M. Ziegler 5. ed. Berlin [u.a.] Springer 2014 1 Online-Ressource (VIII, 308 S.) Ill., graph. Darst. txt rdacontent c rdamedia cr rdacarrier Mathematik (DE-588)4037944-9 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 Mathematische Logik (DE-588)4037951-6 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 https://doi.org/10.1007/978-3-662-44205-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027525201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027525201&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 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 Mathematik (DE-588)4037944-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Beweisführung (DE-588)4227233-6 gnd Beweis (DE-588)4132532-1 gnd Mathematische Logik (DE-588)4037951-6 gnd
subject_GND	(DE-588)4037944-9 (DE-588)4155620-3 (DE-588)4227233-6 (DE-588)4132532-1 (DE-588)4037951-6 (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 (DE-588)4037944-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Beweisführung (DE-588)4227233-6 gnd Beweis (DE-588)4132532-1 gnd Mathematische Logik (DE-588)4037951-6 gnd
topic_facet	Mathematik Mathematische Methode Beweisführung Beweis Mathematische Logik Beispielsammlung
url	https://doi.org/10.1007/978-3-662-44205-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027525201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027525201&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT aignermartin proofsfromthebook AT zieglergunterm proofsfromthebook

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