Making Transcendence Transparent: An intuitive approach to classical transcendental number theory
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
2004
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | While the study of transcendental numbers is a fundamental pursuit within number theory, the general mathematics community is familiar only with its most elementary results. The aim of Making Transcendence Transparent is to introduce readers to the major "classical" results and themes of transcendental number theory and to provide an intuitive framework in which the basic principles and tools of transcendence can be understood. The text includes not just the myriad of technical details requisite for transcendence proofs, but also intuitive overviews of the central ideas of those arguments so that readers can appreciate and enjoy a panoramic view of transcendence. In addition, the text offers a number of excursions into the basic algebraic notions necessary for the journey. Thus the book is designed to appeal not only to interested mathematicians, but also to both graduate students and advanced undergraduates. Edward Burger is Professor of Mathematics and Chair at Williams College. His research interests are in Diophantine analysis, and he is the author of over forty papers, books, and videos. The Mathematical Association of America has honored Burger on a number of occasions including, most recently, in awarding him the prestigious 2004 Chauvenet Prize. Robert Tubbs is a Professor at the University of Colorado in Boulder. He has written numerous papers in transcendental number theory. Tubbs has held visiting positions at the Institute for Advanced Study, MSRI, and at Paris VI. He has recently completed a book on the cultural history of mathematical truth |
Beschreibung: | 1 Online-Ressource (IX, 263 p) |
ISBN: | 9781475741148 9781441919489 |
DOI: | 10.1007/978-1-4757-4114-8 |
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spelling | Burger, Edward B. Verfasser aut Making Transcendence Transparent An intuitive approach to classical transcendental number theory by Edward B. Burger, Robert Tubbs New York, NY Springer New York 2004 1 Online-Ressource (IX, 263 p) txt rdacontent c rdamedia cr rdacarrier While the study of transcendental numbers is a fundamental pursuit within number theory, the general mathematics community is familiar only with its most elementary results. The aim of Making Transcendence Transparent is to introduce readers to the major "classical" results and themes of transcendental number theory and to provide an intuitive framework in which the basic principles and tools of transcendence can be understood. The text includes not just the myriad of technical details requisite for transcendence proofs, but also intuitive overviews of the central ideas of those arguments so that readers can appreciate and enjoy a panoramic view of transcendence. In addition, the text offers a number of excursions into the basic algebraic notions necessary for the journey. Thus the book is designed to appeal not only to interested mathematicians, but also to both graduate students and advanced undergraduates. Edward Burger is Professor of Mathematics and Chair at Williams College. His research interests are in Diophantine analysis, and he is the author of over forty papers, books, and videos. The Mathematical Association of America has honored Burger on a number of occasions including, most recently, in awarding him the prestigious 2004 Chauvenet Prize. Robert Tubbs is a Professor at the University of Colorado in Boulder. He has written numerous papers in transcendental number theory. Tubbs has held visiting positions at the Institute for Advanced Study, MSRI, and at Paris VI. He has recently completed a book on the cultural history of mathematical truth Mathematics Number theory Number Theory Mathematik Transzendente Zahl (DE-588)4225034-1 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Transzendente Zahl (DE-588)4225034-1 s 1\p DE-604 Zahlentheorie (DE-588)4067277-3 s 2\p DE-604 Tubbs, Robert Sonstige oth https://doi.org/10.1007/978-1-4757-4114-8 Verlag Volltext 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 |
spellingShingle | Burger, Edward B. Making Transcendence Transparent An intuitive approach to classical transcendental number theory Mathematics Number theory Number Theory Mathematik Transzendente Zahl (DE-588)4225034-1 gnd Zahlentheorie (DE-588)4067277-3 gnd |
subject_GND | (DE-588)4225034-1 (DE-588)4067277-3 |
title | Making Transcendence Transparent An intuitive approach to classical transcendental number theory |
title_auth | Making Transcendence Transparent An intuitive approach to classical transcendental number theory |
title_exact_search | Making Transcendence Transparent An intuitive approach to classical transcendental number theory |
title_full | Making Transcendence Transparent An intuitive approach to classical transcendental number theory by Edward B. Burger, Robert Tubbs |
title_fullStr | Making Transcendence Transparent An intuitive approach to classical transcendental number theory by Edward B. Burger, Robert Tubbs |
title_full_unstemmed | Making Transcendence Transparent An intuitive approach to classical transcendental number theory by Edward B. Burger, Robert Tubbs |
title_short | Making Transcendence Transparent |
title_sort | making transcendence transparent an intuitive approach to classical transcendental number theory |
title_sub | An intuitive approach to classical transcendental number theory |
topic | Mathematics Number theory Number Theory Mathematik Transzendente Zahl (DE-588)4225034-1 gnd Zahlentheorie (DE-588)4067277-3 gnd |
topic_facet | Mathematics Number theory Number Theory Mathematik Transzendente Zahl Zahlentheorie |
url | https://doi.org/10.1007/978-1-4757-4114-8 |
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