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.