|
About the cover: The mathematical conquest of the third dimension
Author:
Benno Artmann
Journal:
Bull. Amer. Math. Soc. 43 (2006), 231-234
Published electronically:
March 9, 2006
MathSciNet review:
2216112
Full-text PDF
References |
Additional Information
- [Art01]
Benno
Artmann, Euclid—the creation of mathematics,
Springer-Verlag, New York, 1999. MR 1695164
(2000d:01006)
- [Art05]
Benno
Artmann, Antike Darstellungen des Ikosaeders, Mitt. Dtsch.
Math.-Ver. 13 (2005), no. 1, 46–50 (German). MR
2146260, http://dx.doi.org/10.1515/dmvm-2005-0017
- [Heath]
Euclid,
The thirteen books of Euclid’s Elements translated from the text
of Heiberg. Vol. I: Introduction and Books I, II. Vol. II: Books
III–IX. Vol. III: Books X–XIII and Appendix, Dover
Publications, Inc., New York, 1956. Translated with introduction and
commentary by Thomas L. Heath; 2nd ed. MR 0075873
(17,814b)
- [Mueller]
Ian
Mueller, On the notion of a mathematical starting point in Plato,
Aristotle, and Euclid, Science and philosophy in classical Greece,
Sources Stud. Hist. Philos. Classical Sci., vol. 2, Garland, New York,
1991, pp. 59–97. MR
1157400
- [Plato]
Plato: The collected dialogues. E. Hamilton and H. Cairns, eds., Bollingen series LXXI, Princeton Univ. Press, 1989.
- [Art01]
- B. Artmann, Euclid--The Creation of Mathematics. Springer, New York, second ed., 2001. (Contains more specific information about the material in this note. The material on the icosahedron is not in the first ed., 1999.) MR 1695164 (2000d:01006)
- [Art05]
- B. Artmann, Antike Darstellungen des Ikosaeders. Mitt. DMV 13 (2005), 45-50. (Here Theaetetus' drawing is analysed in detail.) MR 2146260
- [Heath]
- T. L. Heath, The thirteen books of Euclid's Elements. Cambridge UP, 1908 (and later reprints). MR 0075873 (17:814b)
- [Mueller]
- I. Mueller, On the notion of a mathematical starting point in Plato, Aristotle, and Euclid. In: A. C. Bowen, ed.: Science and philsophy in classical Greece. New York: Garland, 1991, pp. 59-97. MR 1157400
- [Plato]
- Plato: The collected dialogues. E. Hamilton and H. Cairns, eds., Bollingen series LXXI, Princeton Univ. Press, 1989.
Additional Information
Benno Artmann
Affiliation:
Mathematisches Institut, Bunsenstr. 3-5, D-37073 Goettingen, Germany
Email:
artmann@uni-math.gwdg.de
DOI:
http://dx.doi.org/10.1090/S0273-0979-06-01111-6
PII:
S 0273-0979(06)01111-6
Received by editor(s):
November 22, 2005
Published electronically:
March 9, 2006
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
|
