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Making Transcendence Transparent: An intuitive approach to classical transcendental number theory /

Making Transcendence Transparent: An intuitive approach to classical transcendental number theory /
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Field name Details
Dewey Class 512.7
Title Making Transcendence Transparent ([EBook] :) : An intuitive approach to classical transcendental number theory / / by Edward B. Burger, Robert Tubbs.
Author Burger, Edward B.
Added Personal Name Tubbs, Robert author.
Other name(s) SpringerLink (Online service)
Publication New York, NY : : Springer New York : : Imprint: Springer, , 2004.
Physical Details IX, 263 p. 50 illus. : online resource.
ISBN 9781475741148
Summary Note 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.:
Contents note A prequel to transcendence -- Incredible numbers incredibly close to modest rational numbers -- The powerful power series for e -- Conjugation and symmetry as a means towards transcendence -- The analytic adventures of exp(z) -- Debunking conspiracy theories for independent functions -- Class distinctions among complex numbers -- Extending our reach through periodic functions -- Transcending numbers and discovering a more formal e -- Selected highlights from complex analysis.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-1-4757-4114-8
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