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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

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

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

Author: Isaac Chavel
Title: Riemannian geometry: A modern introduction
Additional book information: Cambridge Tracts in Mathematics, no. 108, Cambridge Univ. Press, 1994, xii + 386 pp., ISBN 0-521-43201-4, $59.95$; ISBN 0-521-48578-9, $24.95$, paperback
Paperback is in series Cambridge Tracts in Mathematics, no. 108

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

  • Peter Buser, Geometry and spectra of compact Riemann surfaces, Progress in Mathematics, vol. 106, Birkhäuser Boston, Inc., Boston, MA, 1992. MR 1183224
  • [Ch]
    Chavel, Isaac, Eigenvalues in Riemannian geometry, Academic Press, New York, 1984.
  • Manfredo Perdigão do Carmo, Riemannian geometry, Mathematics: Theory & Applications, Birkhäuser Boston, Inc., Boston, MA, 1992. Translated from the second Portuguese edition by Francis Flaherty. MR 1138207, DOI 10.1007/978-1-4757-2201-7
  • Sylvestre Gallot, Dominique Hulin, and Jacques Lafontaine, Riemannian geometry, 2nd ed., Universitext, Springer-Verlag, Berlin, 1990. MR 1083149, DOI 10.1007/978-3-642-97242-3
  • Stefan Hildebrandt and Anthony Tromba, Mathematics and optimal form, Scientific American Library, New York, 1985. MR 854269
  • [Li]
    Li, Peter, Lectures on differential geometry, Seoul University, Korea, 1991. For copies send e-mail to
    Osserman, R., Poetry of the universe, Anchor, New York, 1995.
  • Robert Osserman, A survey of minimal surfaces, Van Nostrand Reinhold Co., New York-London-Melbourne, 1969. MR 0256278
  • Michael Spivak, A comprehensive introduction to differential geometry. Vol. I, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR 532830

  • Review Information:

    Reviewer: Jerry L. Kazdan
    Affiliation: University of Pennsylvania
    Journal: Bull. Amer. Math. Soc. 33 (1996), 339-344
    Review copyright: © Copyright 1996 American Mathematical Society