Book Review

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Book Information:

Author: Robin Hartshorne

Title: Geometry: Euclid and beyond

Additional book information: Springer-Verlag, New York, 2000, xi+526 pp., ISBN 0-387-98650-2, $49.95$

**[Bis]**

*Constructive Analysis*, New York: Springer-Verlag, 1985. MR

**0804042**

**[Bor]**

*Foundations of geometry: Euclidean and Bolyai-Lobachevskian geometry. Projective geometry*, New York: Interscience Publishers, 1960. MR

**0143072**

**[CoWe]**

*Notices of the AMS*45 (1998), 1463-1471. MR

**1656892**

**[Efi]**

*Mat. Sb.*(N.S.) 64 (106), pp. 286-320, 1964. MR

**0167938**

**[EucPh]**

*Phaenomena*, in

*Euclidis opera omnia*, Heinrich Menge, ed., Lipsiae: B.G. Teubneri, 1883-1916.

**[Hea]**

*Mathematics in Aristotle*, Oxford: Clarendon Press, 1949. MR

**10:667d**

**[HenCr]**

*The Mathematical Intelligencer*, vol 23, no. 2, 2001, pp 17-28. MR

**1843235**

**[HenDG]**

*Differential Geometry: A Geometric Introduction*, Upper Saddle River, NJ: Prentice Hall, 1998.

**[HenEG]**

*Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces*, Upper Saddle River, NJ: Prentice Hall, 2001.

**[Hil-a]**

*Foundations of geometry*(

*Grundlagen der Geometrie*) (translated by Leo Unger), La Salle, IL: Open Court, 1971. MR

**0275262**

**[Hil-b]**

*Transactions of the A.M.S.*, 1901, pp. 87-99.

**[Kha]**

*Scripta Mathematica*, 24 (1958-59), pp. 275-303. MR

**0114743**

**[Kli]**

*Mathematical Thought from Ancient to Modern Times*, Oxford: Oxford University Press, 1972. MR

**0472307**

**[Kui]**

*Nederl. Akad. Wetensch*. Proc. Ser. A58, 1955, pp. 683-689. MR

**17:782c**

**[Mar]**

*Geometric Constructions*, New York: Springer, 1998. MR

**1483895**

**[McC]**

*Geometry from a Differentiable Viewpoint*, Cambridge, UK: Cambridge University Press, 1994. MR

**1314819**

**[MiPa]**

*Elements of Differential Geometry*, Englewood Cliffs, NJ: Prentice-Hall, 1977. MR

**0442832**

**[PrTi]**

*Geometry*, Translations of Mathematical Monographs, Vol. 200, American Mathematical Society, 2001. MR

**1833867**

**[Sul]**

*Sulbasutram*, G. Thibaut, trans., S. Prakash & R. M. Sharma, ed., Bombay: Ram Swarup Sharma, 1968.

**[Thu]**

*Three-Dimensional Geometry and Topology*, Vol. 1, Princeton, NJ: Princeton University Press, 1997. MR

**1435975**

**[Toth]**

*Scientific American*, 1969.

**[Wee]**

*The Shape of Space*, Second Edition, New York: Marcel Dekker, 2002.

Review Information:

Reviewer: David W. Henderson

Affiliation: Cornell University

Email: dwh2@cornell.edu

Journal: Bull. Amer. Math. Soc.

**39**(2002), 563-571

Published electronically: July 9, 2002

Review copyright: © Copyright 2002 American Mathematical Society