Making Transcendence Transparent

An intuitive approach to classical transcendental number theory

Edward B. Burger, Robert Tubbs

263 pages, parution le 27/01/2005

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Résumé

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 understanding of the basic principles and tools of transcendence theory and an intuitive framework within which the major results can be appreciated and their proofs can be understood. The book includes big picture overviews of the over-arching ideas, and general points of attack in particular arguments, so the reader will enjoy and appreciate the panoramic view of transcendence. It is designed to appeal to interested mathematicians, graduate students, and advanced undergraduates.

Sommaire

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 e^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

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Edward B. Burger, Robert Tubbs
Parution	27/01/2005
Nb. de pages	263
Format	16 x 24
Couverture	Relié
Poids	509g
Intérieur	Noir et Blanc
EAN13	9780387214443
ISBN13	978-0-387-21444-3