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Bulletin of the American Mathematical Society

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

Book Review

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Full text of review: PDF
Book Information:

Author: Werner Fenchel
Title: Elementary geometry in hyperbolic space
Additional book information: De Gruyter Studies in Mathematics, vol. 11, Walter de Gruyter, Berlin, New York, 1989, xi+225 pp., $69.95. ISBN 0-89925-493-4.

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

  • 1. Lars V. Ahlfors, Möbius transformations in several dimensions, Ordway Professorship Lectures in Mathematics, University of Minnesota, School of Mathematics, Minneapolis, Minn., 1981. MR 725161
  • 2. Alan F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-Verlag, New York, 1983. MR 698777
  • 3. H. S. M. Coxeter, Inversive distance, Ann. Mat. Pura Appl. (4) 71 (1966), 73–83. MR 0203568
  • 4. H. S. M. Coxeter, The inversive plane and hyperbolic space, Abh. Math. Sem. Univ. Hamburg 29 (1966), 217–242. MR 0199777
  • 5. J. B. Wilker, Inversive geometry, The geometric vein, Springer, New York-Berlin, 1981, pp. 379–442. MR 661793
  • 6. J. B. Wilker, Möbius transformations in dimension 𝑛, Period. Math. Hungar. 14 (1983), no. 1, 93–99. MR 697361, 10.1007/BF02023586

Review Information:

Reviewer: J. B. Wilker
Journal: Bull. Amer. Math. Soc. 23 (1990), 589-594
DOI: http://dx.doi.org/10.1090/S0273-0979-1990-15992-0