The book treats an important special subject in number theory. It is appropriate for graduate students and researchers in number theory and other mathematicians who are looking for a reference on transcendental number theory.

Klappentext

This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.

Inhalt

1. Approximation of Algebraic Numbers.- 2. Effective Constructions in Transcendental Number Theory.- 3. Hilbert's Seventh Problem.- 4. Multidimensional Generalization of Hilbert's Seventh Problem.- 5. Values of Analytic Functions That Satisfy Linear Differential Equations.- 6. Algebraic Independence of the Values of Analytic Functions That Have an Addition Law.