Transcendental and Algebraic Numbers

Informationen zum Autor Alexander Osipovich Gelfond (1906-68) was a prominent Soviet mathematician. Klappentext Primarily an advanced study of the modern theory of transcendental numbers! this text focuses on the theory's fundamental methods and explores its connections with other problems in number theory. Topics include the Thue-Siegel theorem; the Hermite-Lindemann theorem on the transcendency of the exponential function; the transcendency of the Bessel functions; more. Inhaltsverzeichnis 1. The approximation of algebraic irrationalities2. Transcendence of values of analytic functions whose Taylor series have algebraic coefficients3. Arithmetic properties of the set of values of an analytic function whose argument assumes values in an algebraic field; transcendence problems. Literature. Index.

Product details

• Authors: A. O. Gelfond, A.o. Gelfond, A. O. Gel'fond
• Assisted by: Leo F. Boron (Translation)
• Publisher: Dover Publications Inc.
• Languages: English
• Product format: Paperback / Softback
• Released: 17.03.2003
• EAN: 9780486495262
• ISBN: 978-0-486-49526-2
• No. of pages: 208
• Series: Dover Books on Mathematics; Dover Phoenix Editions; Dover Books on Mathematics; Dover Phoenix Editions
• Subject: Natural sciences, medicine, IT, technology > Mathematics