Transcendental number theory
A systematic account of transcendental number theory, or those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. First published in 1975 and revised in 1979.
Transcendental Number Theory
(Cambridge Mathematical Library)
Alan Baker
1990
ISBN-10 : 052139791X
ISBN-13 : 978-0521397919
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 Schmidt's generalization of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's E-functions and of Sprindzuk's solution to the Mahler conjecture.