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CAMBRIDGE UNIVERSITY PRESS Transcendental Number Theory by Alan Baker
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. The volume was revised in 1979: however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.show more