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Making Transcendence Transparent: An Intuitive Approach to Classical Transcendental Number Theory

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Making Transcendence Transparent: An Intuitive Approach to Classical Transcendental Number Theory Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Edward Burger is one of the authors of "The Heart of Mathematics," Winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes acknowledging an outstanding expository article. To read more about Ed Burger go to http://www.williams.edu/Mathematics/eburger/.

Synopsis:

This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.

Table of Contents

* 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

Product Details

ISBN:
9781441919489
Author:
Burger, Edward B.
Publisher:
Springer
Author:
Tubbs, Robert
Location:
New York, NY
Subject:
Number Theory
Subject:
Number Theory <P>While the theory of transcendental numbers is a fundamental and important branch of number theory, most mathematicians know only its most elementary results. The aim of "Making Transcendence Transparent" is to provide the reader with an u
Subject:
Mathematics-Number Theory
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2004
Publication Date:
20110306
Binding:
TRADE PAPER
Language:
English
Pages:
272
Dimensions:
235 x 155 mm

Related Subjects

Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory
Science and Mathematics » Physics » General

Making Transcendence Transparent: An Intuitive Approach to Classical Transcendental Number Theory New Trade Paper
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Product details 272 pages Springer - English 9781441919489 Reviews:
"Synopsis" by , Edward Burger is one of the authors of "The Heart of Mathematics," Winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes acknowledging an outstanding expository article. To read more about Ed Burger go to http://www.williams.edu/Mathematics/eburger/.
"Synopsis" by , This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.
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