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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

MathSciNet review: 1567955
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Andrei B. Shidlovskii
Title: Transcendental numbers
Additional book information: Studies in mathematics, vol. 12, Walter de Gruyter, Berlin, New York, 1989, xix + 466 pp., $89.50. ISBN 3-11-011568-9.

References [Enhancements On Off] (What's this?)

  • Alan Baker, Transcendental number theory, Cambridge University Press, London-New York, 1975. MR 0422171
  • Frits Beukers, W. Dale Brownawell, and Gert Heckman, Siegel normality, Ann. of Math. (2) 127 (1988), no. 2, 279–308. MR 932298, DOI 10.2307/2007054
  • N. I. Fel′dman, Priblizheniya algebraicheskikh chisel, Moskov. Gos. Univ., Moscow, 1981 (Russian). MR 646065
  • N. I. Fel′dman, Sed′maya problema Gil′berta, Moskov. Gos. Univ., Moscow, 1982 (Russian). MR 710652
  • A. O. Gel′fond, Transcendental and algebraic numbers, Dover Publications, Inc., New York, 1960. Translated from the first Russian edition by Leo F. Boron. MR 0111736
  • Serge Lang, Introduction to transcendental numbers, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. MR 0214547
  • Kurt Mahler, Lectures on transcendental numbers, Lecture Notes in Mathematics, Vol. 546, Springer-Verlag, Berlin-New York, 1976. MR 0491533
  • David Masser, Elliptic functions and transcendence, Lecture Notes in Mathematics, Vol. 437, Springer-Verlag, Berlin-New York, 1975. MR 0379391
  • Wolfgang M. Schmidt, Diophantine approximation, Lecture Notes in Mathematics, vol. 785, Springer, Berlin, 1980. MR 568710
  • Theodor Schneider, Einführung in die transzendenten Zahlen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957 (German). MR 0086842
  • 11.
    C. L. Siegel, Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss., Phys-Math. Kl., (1929-1930), no. 1, pp. 1-70.
  • Carl Ludwig Siegel, Transcendental Numbers, Annals of Mathematics Studies, No. 16, Princeton University Press, Princeton, N. J., 1949. MR 0032684
  • Michel Waldschmidt, Nombres transcendants, Lecture Notes in Mathematics, Vol. 402, Springer-Verlag, Berlin-New York, 1974 (French). MR 0360483
  • Michel Waldschmidt, Transcendence methods, Queen’s Papers in Pure and Applied Mathematics, vol. 52, Queen’s University, Kingston, Ont., 1979. MR 633068
  • Frits Beukers, Differential Galois theory, From number theory to physics (Les Houches, 1989) Springer, Berlin, 1992, pp. 413–439. MR 1221107
  • Nicholas M. Katz, Exponential sums and differential equations, Annals of Mathematics Studies, vol. 124, Princeton University Press, Princeton, NJ, 1990. MR 1081536, DOI 10.1515/9781400882434

  • Review Information:

    Reviewer: R. Tijdeman
    Journal: Bull. Amer. Math. Soc. 25 (1991), 445-453