Making Transcendence Transparent

An intuitive approach to classical transcendental number theory
1. Auflage. Softcover version of original hardcover Auflage 2004
ISBN: 978-1-4419-1948-9
Verlag: Springer

Buch, Englisch, 263 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 423 g

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Tubbs, Robert

Burger, Edward B.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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.

Über Autor(innen)

Burger, Edward B.
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/.