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Transcendental number theory. Paperback ed. (English) Zbl 0715.11032
Cambridge Mathematical Library. Cambridge etc.: Cambridge University Press. x, 165 p. £10.95; $ 17.95 (1990).
This is a highly welcome reissue of a classical textbook in transcendental number theory at a reasonable price. The author has added a valuable 7 pages survey on new developments with references since its first edition in 1975 (for a review see Zbl 0297.10013) thereby updating again the list of publications given in the 1979 reprint (cf. Zbl 0497.10023). A must for anyone interested in number theory!
Reviewer: O.Ninnemann

11Jxx Diophantine approximation, transcendental number theory
11-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory
01A75 Collected or selected works; reprintings or translations of classics
11J81 Transcendence (general theory)
11J86 Linear forms in logarithms; Baker’s method
11J85 Algebraic independence; Gel’fond’s method
11J89 Transcendence theory of elliptic and abelian functions
11J83 Metric theory
11J68 Approximation to algebraic numbers
11D41 Higher degree equations; Fermat’s equation
11J91 Transcendence theory of other special functions
11R29 Class numbers, class groups, discriminants
11K60 Diophantine approximation in probabilistic number theory
11R11 Quadratic extensions