First published in 1975, this classic book gives a systematic
account of transcendental number theory, that is, the theory of
those numbers that cannot be expressed as the roots of algebraic
equations having rational coefficients. Their study has developed
into a fertile and extensive theory, which continues to see rapid
progress today. 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. This edition includes an introduction written by
David Masser describing Baker's achievement, surveying the content
of each chapter and explaining the main argument of Baker's method
in broad strokes. A new afterword lists recent developments related
to Baker's work.
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