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  3. Transcendental Number Theory
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  • Publisher:
    Cambridge University Press
    Publication date:
    01 June 2011
    24 April 1975
    ISBN:
    9780511565977
    DOI:
    https://doi.org/10.1017/CBO9780511565977
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    • Subjects:
    Mathematics (general), Mathematics, Number Theory
    Series:
    Cambridge Mathematical Library
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    Subjects:
    Mathematics (general), Mathematics, Number Theory
    Series:
    Cambridge Mathematical Library
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    Book description

    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.

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