Introduction to Transcendental Numbers

Author: Zhu Yaochen
Publisher:
Publish Date: 2003-01-01
Features: This book is suitable for senior undergraduate and graduate students in mathematics departments, as well as relevant researchers. It comprehensively presents the fundamental results and main methods of transcendental number theory, including the solution to Hilbert's seventh problem, the transcendental properties of important function classes such as exponential functions, logarithmic functions, elliptic functions, E-functions, and Mahler-type functions, as well as the classification of numbers and measures of transcendence. Through these fundamental results, the book introduces basic methods of transcendental number theory, such as the Gelfond-Schneider method, Baker's method, Siegel-Shaposhnikov method, Mahler method, and approximation methods.