An edition of Making Transcendence Transparent (2004)

Making Transcendence Transparent

An intuitive approach to classical transcendental number theory

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Last edited by ImportBot
February 27, 2022 | History
An edition of Making Transcendence Transparent (2004)

Making Transcendence Transparent

An intuitive approach to classical transcendental number theory

  • 0 Ratings
  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

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.

Publish Date
Publisher
Springer New York
Language
English
Pages
263

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Previews available in: English

Edition Availability
Cover of: Making Transcendence Transparent
Making Transcendence Transparent: An intuitive approach to classical transcendental number theory
2004, Springer New York
electronic resource : in English

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Book Details


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.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
New York, NY

Classifications

Dewey Decimal Class
512.7
Library of Congress
QA241-247.5

The Physical Object

Format
[electronic resource] :
Pagination
1 online resource (ix, 263 p.)
Number of pages
263

ID Numbers

Open Library
OL27072325M
Internet Archive
makingtranscende00burg
ISBN 10
1441919481, 1475741146
ISBN 13
9781441919489, 9781475741148
OCLC/WorldCat
851762310

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
February 27, 2022 Edited by ImportBot import existing book
August 2, 2020 Edited by ImportBot import existing book
July 5, 2019 Created by MARC Bot Imported from Internet Archive item record