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Book Review
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Book Information
Author(s):
Robin Hartshorne
Title:
Geometry: Euclid and beyond
Additional book information:
Springer-Verlag,
New York,
2000,
xi+526,
$49.95,
0-387-98650-2
References:
-
- [Bis]
- Bishop, Errett, and Douglas Bridges, Constructive Analysis, New York: Springer-Verlag, 1985. MR 87d:03172
- [Bor]
- Borsuk, Karol, and Wanda Szmielew, Foundations of geometry: Euclidean and Bolyai-Lobachevskian geometry. Projective geometry, New York: Interscience Publishers, 1960. MR 26:638
- [CoWe]
- Cornish, Neil J., and Jeffrey R. Weeks, ``Measuring the Shape of the Universe", Notices of the AMS 45 (1998), 1463-1471. MR 99j:83006
- [Efi]
- Efimov, N. V., ``Generation of singularities on surfaces of negative curvature" [Russian], Mat. Sb. (N.S.) 64 (106), pp. 286-320, 1964. MR 29:5203
- [EucPh]
- Euclid, Phaenomena, in Euclidis opera omnia, Heinrich Menge, ed., Lipsiae: B.G. Teubneri, 1883-1916.
- [Hea]
- Heath, T.L., Mathematics in Aristotle, Oxford: Clarendon Press, 1949. MR 10:667d
- [HenCr]
- Henderson, David W., and Daina Taimina, Crocheting the Hyperbolic Plane, The Mathematical Intelligencer, vol 23, no. 2, 2001, pp 17-28. MR 2002d:01018
- [HenDG]
- Henderson, David W., Differential Geometry: A Geometric Introduction, Upper Saddle River, NJ: Prentice Hall, 1998.
- [HenEG]
- Henderson, David W., Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces, Upper Saddle River, NJ: Prentice Hall, 2001.
- [Hil-a]
- Hilbert, David, Foundations of geometry (Grundlagen der Geometrie) (translated by Leo Unger), La Salle, IL: Open Court, 1971. MR 43:1019
- [Hil-b]
- Hilbert, David, Über Flächen von konstanter gausscher Krümmung, Transactions of the A.M.S., 1901, pp. 87-99.
- [Kha]
- Amir-Moez, A. R., ``Discussion of Difficulties in Euclid" by Omar ibn Abrahim al-Khayyami (Omar Khayyam), Scripta Mathematica, 24 (1958-59), pp. 275-303. MR 22:5562
- [Kli]
- Kline, Morris, Mathematical Thought from Ancient to Modern Times, Oxford: Oxford University Press, 1972. MR 57:12010
- [Kui]
- Kuiper, Nicolas, On c1-isometric imbeddings II, Nederl. Akad. Wetensch. Proc. Ser. A58, 1955, pp. 683-689. MR 17:782c
- [Mar]
- Martin, George E., Geometric Constructions, New York: Springer, 1998. MR 98j:51032
- [McC]
- McCleary, John, Geometry from a Differentiable Viewpoint, Cambridge, UK: Cambridge University Press, 1994. MR 95m:53001
- [MiPa]
- R.S. Millman and G.D. Parker, Elements of Differential Geometry, Englewood Cliffs, NJ: Prentice-Hall, 1977. MR 56:1208
- [PrTi]
- V.V. Prasolov & V.M. Tikhomirov, Geometry, Translations of Mathematical Monographs, Vol. 200, American Mathematical Society, 2001. MR 2002d:51001
- [Sul]
- Baudhayana, Sulbasutram, G. Thibaut, trans., S. Prakash & R. M. Sharma, ed., Bombay: Ram Swarup Sharma, 1968.
- [Thu]
- Thurston, William, Three-Dimensional Geometry and Topology, Vol. 1, Princeton, NJ: Princeton University Press, 1997. MR 97m:57016
- [Toth]
- Toth, Imre, Non-Euclidean Geometry before Euclid, Scientific American, 1969.
- [Wee]
- Weeks, Jeffrey, The Shape of Space, Second Edition, New York: Marcel Dekker, 2002.
Additional Information:
Reviewer(s):
David
W.
Henderson
Affiliation:
Cornell University
Email:
dwh2@cornell.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
39
(2002),
563-571.
MSC
(2000):
Primary 51-01
DOI:
10.1090/S0273-0979-02-00949-7
PII:
S 0273-0979(02)00949-7
Posted:
July 9, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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