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Book Review

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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?)

  • 1. Alan Baker, Transcendental number theory, Cambridge University Press, London-New York, 1975. MR 0422171
  • 2. Frits Beukers, W. Dale Brownawell, and Gert Heckman, Siegel normality, Ann. of Math. (2) 127 (1988), no. 2, 279–308. MR 932298, https://doi.org/10.2307/2007054
  • 3. N. I. Fel′dman, \cyr Priblizheniya algebraicheskikh chisel, Moskov. Gos. Univ., Moscow, 1981 (Russian). MR 646065
  • 4. N. I. Fel′dman, \cyr Sed′maya problema Gil′berta, Moskov. Gos. Univ., Moscow, 1982 (Russian). MR 710652
  • 5. A. O. Gel′fond, Transcendental and algebraic numbers, Translated from the first Russian edition by Leo F. Boron, Dover Publications, Inc., New York, 1960. MR 0111736
  • 6. Serge Lang, Introduction to transcendental numbers, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. MR 0214547
  • 7. Kurt Mahler, Lectures on transcendental numbers, Lecture Notes in Mathematics, Vol. 546, Springer-Verlag, Berlin-New York, 1976. MR 0491533
  • 8. David Masser, Elliptic functions and transcendence, Lecture Notes in Mathematics, Vol. 437, Springer-Verlag, Berlin-New York, 1975. MR 0379391
  • 9. Wolfgang M. Schmidt, Diophantine approximation, Lecture Notes in Mathematics, vol. 785, Springer, Berlin, 1980. MR 568710
  • 10. 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.
  • 12. Carl Ludwig Siegel, Transcendental Numbers, Annals of Mathematics Studies, no. 16, Princeton University Press, Princeton, N. J., 1949. MR 0032684
  • 13. Michel Waldschmidt, Nombres transcendants, Lecture Notes in Mathematics, Vol. 402, Springer-Verlag, Berlin-New York, 1974 (French). MR 0360483
  • 14. Michel Waldschmidt, Transcendence methods, Queen’s Papers in Pure and Applied Mathematics, vol. 52, Queen’s University, Kingston, Ont., 1979. MR 633068
  • 15. Frits Beukers, Differential Galois theory, From number theory to physics (Les Houches, 1989) Springer, Berlin, 1992, pp. 413–439. MR 1221107
  • 16. Nicholas M. Katz, Exponential sums and differential equations, Annals of Mathematics Studies, vol. 124, Princeton University Press, Princeton, NJ, 1990. MR 1081536

Review Information:

Reviewer: R. Tijdeman
Journal: Bull. Amer. Math. Soc. 25 (1991), 445-453
DOI: https://doi.org/10.1090/S0273-0979-1991-16089-1