Making Transcendence Transparent: An intuitive approach to classical transcendental number theory / Edition 1 by Edward B. Burger, Robert Tubbs | | 9781441919489 | Paperback | Barnes & Noble
Making Transcendence Transparent: An intuitive approach to classical transcendental number theory / Edition 1

Making Transcendence Transparent: An intuitive approach to classical transcendental number theory / Edition 1

by Edward B. Burger, Robert Tubbs
     
 

ISBN-10: 1441919481

ISBN-13: 9781441919489

Pub. Date: 05/26/2011

Publisher: Springer New York

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

Overview

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.

Product Details

ISBN-13:
9781441919489
Publisher:
Springer New York
Publication date:
05/26/2011
Edition description:
Softcover reprint of hardcover 1st ed. 2004
Pages:
263
Product dimensions:
0.58(w) x 6.14(h) x 9.21(d)

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

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >