Lectures On Transcendental Numbers


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Lectures on Transcendental Numbers


Lectures on Transcendental Numbers

Author: K. Mahler

language: en

Publisher: Springer

Release Date: 2006-11-14


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Lecture Notes in Mathematics


Lecture Notes in Mathematics

Author:

language: en

Publisher:

Release Date: 1964


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Transcendental Number Theory


Transcendental Number Theory

Author: Alan Baker

language: en

Publisher: Cambridge University Press

Release Date: 1990-09-28


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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 generalisation of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's |E|-functions and of Sprindzuk's 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.