Verfügbarkeit: Markov's theorem and 100 years of the uniqueness conjecture

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Bibliographische Detailangaben
Beteilige Person:	Aigner, Martin 1942-2023 (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cham [u.a.] Springer 2013
Schlagwörter:	Markov, Andrej A. > 1856-1922 Geschichte 1913-2013 Diophantische Gleichung
Links:	https://doi.org/10.1007/978-3-319-00888-2 https://doi.org/10.1007/978-3-319-00888-2 https://doi.org/10.1007/978-3-319-00888-2 https://doi.org/10.1007/978-3-319-00888-2 https://doi.org/10.1007/978-3-319-00888-2 https://doi.org/10.1007/978-3-319-00888-2 https://doi.org/10.1007/978-3-319-00888-2 https://doi.org/10.1007/978-3-319-00888-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026245879&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=026245879&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	1 Online-Ressource
ISBN:	9783319008875 9783319008882
DOI:	10.1007/978-3-319-00888-2

Internformat

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Datensatz im Suchindex

DE-BY-TUM_katkey	1955221
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adam_text	MARKOV S THEOREM AND 100 YEARS OF THE UNIQUENESS CONJECTURE / AIGNER, MARTIN : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS APPROXIMATION OF IRRATIONALNUMBERS MARKOV S THEOREM AND THE UNIQUENESS CONJECTURE THE MARKOV TREE THE COHN TREE THE MODULAR GROUP SL(2,Z) THE FREE GROUP F2 CHRISTOFFEL WORDS STURMIAN WORDS PROOF OF MARKOV S THEOREM THE UNIQUENESS CONJECTURE. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. MARKOV S THEOREM AND 100 YEARS OF THE UNIQUENESS CONJECTURE / AIGNER, MARTIN : 2013 ABSTRACT / INHALTSTEXT THIS BOOK TAKES THE READER ON A MATHEMATICAL JOURNEY, FROM A NUMBER-THEORETIC POINT OF VIEW, TO THE REALM OF MARKOV’S THEOREM AND THE UNIQUENESS CONJECTURE, GRADUALLY UNFOLDING MANY BEAUTIFUL CONNECTIONS UNTIL EVERYTHING FALLS INTO PLACE IN THE PROOF OF MARKOV’S THEOREM.WHAT MAKES THE MARKOV THEME SO ATTRACTIVE IS THAT IT APPEARS IN AN ASTOUNDING VARIETY OF DIFFERENT FIELDS, FROM NUMBER THEORY TO COMBINATORICS, FROM CLASSICAL GROUPS AND GEOMETRY TO THE WORLD OF GRAPHS AND WORDS. ON THE WAY, THERE ARE ALSO INTRODUCTORY FORAYS INTO SOME FASCINATING TOPICS THAT DO NOT BELONG TO THE STANDARD CURRICULUM, SUCH AS FAREY FRACTIONS, MODULAR AND FREE GROUPS, HYPERBOLIC PLANES, AND ALGEBRAIC WORDS. THE BOOK CLOSES WITH A DISCUSSION OF THE CURRENT STATE OF KNOWLEDGE ABOUT THE UNIQUENESS CONJECTURE, WHICH REMAINS AN OPEN CHALLENGE TO THIS DAY. ALL THE MATERIAL SHOULD BE ACCESSIBLE TO UPPER-LEVEL UNDERGRADUATES WITH SOME BACKGROUND IN NUMBER THEORY, AND ANYTHING BEYOND THIS LEVEL IS FULLY EXPLAINED IN THE TEXT. THIS IS NOT A MONOGRAPH IN THE USUAL SENSE CONCENTRATING ON A SPECIFIC TOPIC. INSTEAD, IT NARRATES IN FIVE PARTS – NUMBERS, TREES, GROUPS, WORDS, FINALE – THE STORY OF A DISCOVERY IN ONE FIELD AND ITS MANY MANIFESTATIONS IN OTHERS, AS A TRIBUTE TO A GREAT MATHEMATICAL ACHIEVEMENT AND AS AN INTELLECTUAL PLEASURE, CONTEMPLATING THE MARVELLOUS UNITY OF ALL MATHEMATICS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spellingShingle	Aigner, Martin 1942-2023 Markov's theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings Markov, Andrej A. 1856-1922 (DE-588)118578014 gnd Diophantische Gleichung (DE-588)4012386-8 gnd
subject_GND	(DE-588)118578014 (DE-588)4012386-8
title	Markov's theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings
title_auth	Markov's theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings
title_exact_search	Markov's theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings
title_full	Markov's theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings Martin Aigner
title_fullStr	Markov's theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings Martin Aigner
title_full_unstemmed	Markov's theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings Martin Aigner
title_short	Markov's theorem and 100 years of the uniqueness conjecture
title_sort	markov s theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings
title_sub	a mathematical journey from irrational numbers to perfect matchings
topic	Markov, Andrej A. 1856-1922 (DE-588)118578014 gnd Diophantische Gleichung (DE-588)4012386-8 gnd
topic_facet	Markov, Andrej A. 1856-1922 Diophantische Gleichung
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