TRANSCENDENTAL NUMBER THEORY

First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics.Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidts generalisation of the Thue -- Siegel -- Roth theorem, of Shidlovskys work on Siegels E-functions and of Sprindzuks solution to the Mahler conjecture._,