Making Transcendence Transparent An intuitive approach to classical transcendental number theory

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 t...

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Bibliographic Details
Main Authors: Burger, Edward B., Tubbs, Robert (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2004, 2004
Edition:1st ed. 2004
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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