Transcendental Number Theory (Cambridge Mathematical Library) - Hardcover

Baker, Alan

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9780521204613: Transcendental Number Theory (Cambridge Mathematical Library)

Synopsis

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. 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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Book Description

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.

About the Author

Alan Baker is Emeritus Professor of Pure Mathematics in the University of Cambridge and Fellow of Trinity College, Cambridge. His many distinctions include the Fields Medal (1970) and the Adams Prize (1972).

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