Glen Van Brummelen's Recent Publications
Refereed Publications
- With J. L. Berggren, "Al-Kuhi's Modification of Book I of Euclid's
Elements", to appear in Historia Mathematica, 2004.
- Articles on Ibrahim ibn Sinan, al-Khujandi, al-Sijzi, and Sharaf al-Din
al-Tusi for the Biographical Encyclopedia of Astronomers, ed. Thomas
Hockey, Kluwer, 2004.
- With J. L. Berggren, "Al-Samaw'al versus al-Kuhi on the Depression of
the Horizon", to appear in Centaurus, 2004.
- Review of E. S. Kennedy, P. Kunitzsch, and R. P. Lorch, The Melon-Shaped
Astrolabe in Arabic Astronomy, to appear in Historia Mathematica,
2004.
- With J. L. Berggren, "From Euclid to Apollonius: Al-Kuhi's Lemmas to the
Conics", Zeitschrift fur Geschichte der Arabisch-Islamischen
Wissenschaften 15 (2002-03), 165-174.
- With J. L. Berggren, "Abu Sahl al-Kuhi on the Distance to the Shooting
Stars", Journal for the History of Astronomy 32 (2001), 137-151.
- "Mathematics and Religious Belief in Pre-Modern Cultures". In Mathematics in
a Postmodern Age: A Christian Perspective, eds. Russ Howell and James Bradley, Eerdmans,
2001, pp. 45-64.
- with J. L. Berggren, "The Role and Development of Geometric Analysis and Synthesis
in Ancient Greece and Medieval Islam". In
Ancient and Medieval Traditions in the Exact Sciences: Essays in Memory of Wilbur Knorr,
eds. Patrick Suppes, Julius Moravcsik, and Henry Mendell,
CSLI Publications, 2000, pp. 1-31.
- With J. L. Berggren, "Abu Sahl al-Kuhi on Rising Times",
SCIAMVS 2 (2001), 31-46.
- With J. L. Berggren, "Abu Sahl al-Kuhi on Drawing Two Lines from a Point with a Known
Angle", Suhayl 2 (2001), 161-198.
- with J. L. Berggren, "Abu Sahl al-Kuhi's 'On the Ratio of the Segments of a Single
Line that Falls on Three Lines'". Suhayl 1 (2000), 11-56.
- "Teachers, Learners, and the World Wide Web". In
History in Mathematics Education: The ICMI Study,
eds. John Fauvel and Jan van Maanen, Dordrecht: Kluwer, 2000, pp. 358-362.
See also
the accompanying web site.
- with J. L. Berggren, "Abu Sahl al-Kuhi on 'Two Geometrical Questions'".
Zeitschrift fur Geschichte der Arabisch-Islamischen Wissenschaften 13
(2000), 165-187.
- "The Astronomical System in Musa ibn Nawbakht's Astrological Treatise, the Kitab al-Kamil". Centaurus 41 (1999), 213-243.
- Review of Noel Swerdlow, The Babylonian Theory of the Planets.
Meteoritics and Planetary Science 34 (1999), 820-821.
- "Computer Animations of Ptolemy's Geometric Models of Lunar and Planetary Motion". Journal for the History of Astronomy 29 (1998), 271-274.
- "The Tables of Planetary Motion in Kushyar ibn Labban's Jami' Zij".
Historia Mathematica 25 (1998), 265-280.
- (with Kenneth Butler) "Determining the Interdependence of Historical
Astronomical Tables". Journal of the American Statistical
Association, March 1997, 41-48.
- "Lunar and Planetary Interpolation Tables in Ptolemy's Almagest".
Journal for the History of Astronomy 25 (1994), 297-311.
- Review of John Britton, Models and Precision: The Quality of Ptolemy's
Observations and Parameters. Archives Internationales d'Histoire
des Sciences 45 (1995), 382-384.
- "A Survey of the Mathematical Tables in Ptolemy's Almagest". In
AD RADICES: Zum 50 Jahrigen Bestehen des Instituts fur Geschichte der
Naturwissenschaften, Frankfurt am Main, ed. A. von Gotstedter.
Stuttgart: Franz Steiner-Verlag, 1994; 151-170.
- "The Numerical Structure of al-Khalili's Auxiliary Tables". Physis
28 (1991), 667-698.
- 14 reviews at Mathematical Reviews.
Educational
- "Catch a Falling Star: Meteors in Tenth-Century Persia". Mathematics in
School 32 (2003), 7-9.
- With Michael Caraco, Calculus Explorations Powered by Technology: Tales of
History and Imagination, Houghton Mifflin, 2002. Revised edition of the
1996 publication below.
- "Jamshid al-Kashi: Calculating Genius". Mathematics in
School 27 (4) (1998), 40-45. Reprinted in Chris Pritchard, ed., The
Changing Shape of Geometry (Cambridge University Press, 2003), pp. 130-135.
- Seeing is Believing: A Visual Lab Manual, a
project in pedagogical innovations for calculus laboratories. Involves
historical episodes and context-rich applications. Published as the
second half of Calculus Using Graphing Calculators (co-author Joe May),
Philadelphia: Harcourt Brace, 1996.
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Last updated: January 12, 2004.
Glen Van Brummelen / gvanbrum@bennington.edu