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Impacts of a Unique Course on the History of Mathematics in the Islamic World - References

Author(s): 
Nuh Aydin (Kenyon College)

[1] N. Aydin and L. Hammoudi, “Root Extraction by Al-Kāshī and Stevin,” Archive for History of Exact Sciences 69 (2015), 291-310, DOI 10.1007/s00407-015-0150-3

[2] J. L. Berggren, Episodes in the Mathematics of Medieval Islam, Springer-Verlag, 1986.

[3] J. L. Berggren, Episodes in the Mathematics of Medieval Islam (2nd ed.), Springer-Verlag, 2016.

[4] J. L. Berggren, “Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985 to 1995 [1997],” in From Alexandria through Baghdad: Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J. L. Berggren (N. Sidoli, G. Van Brummelen, editors), Springer, 2014.

[5] K. M. Clark, "'In these numbers we use no fractions': A Classroom Module on Stevin's Decimal Fractions," Convergence (January 2011), DOI:10.4169/loci003333

[6] J. T. Devreese and G. V. Berghe, ‘Magic is No Magic’: The Wonderful World of Simon Stevin, WIT Press, 2008.

[7] W. Hartner, “Copernicus, the Man, the Work and Its History,” in Proceedings of the American Philosophical Society 117, no. 16 (1973): 413-422.

[8] A. Heefer, “On the Nature and Origin of Algebraic Symbolism,” Ghent University, Belgium, http://logica.ugent.be/albrecht/thesis/PMP2007Heeffer.pdf

[9] F. Katscher, "Extracting Square Roots Made Easy: A Little Known Medieval Method," Convergence (November 2010), DOI:10.4169/loci003494

[10] V. Katz, “Ideas of Calculus in Islam and India,” Mathematics Magazine 68 (1995): 163-174.

[11] V. Katz, A History of Mathematics: An Introduction (3rd ed.), Addison-Wesley, 2009.

[12] V. J. Katz and K. H. Parshall, Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century, Princeton University Press, 2014.

[13a] V. Katz (editor), Sourcebook in the Mathematics of Egypt, Mesopotamia, China, India, and Islam, Princeton University Press, 2007. See especially J. Lennart Berggren, “Chapter 5. Mathematics in Medieval Islam,” pp. 515-675.

[13b] V. Katz (editor), Sourcebook in the Mathematics of Medieval Europe and North Africa, Princeton University Press, 2016. See especially J. Lennart Berggren, “Chapter 3. Mathematics in the Islamic World in Medieval Spain and North Africa,” pp. 381-547.

[14] D. Kent and M. Sherman, "A GeoGebra Rendition of One of Omar Khayyám's Solutions for a Cubic Equation," Convergence (August 2015).

[15] J. J. O’Connor and E. F. Robertson, "Ghiyath al-Din Jamshid Mas'ud al-Kashi," MacTutor History of Mathematics Archive (July 1999). http://www-history.mcs.st-andrews.ac.uk/Biographies/Al-Kāshī.html

[16] J. J. O’Connor and E. F. Robertson, "Arabic mathematics: forgotten brilliance?" MacTutor History of Mathematics Archive (November 1999). http://www-groups.dcs.st-and.ac.uk/history/HistTopics/Arabic_mathematics.html  (See also "Index of Islamic mathematics" and "Arabic/Islamic mathematicians in our archive in chronological order": http://www-groups.dcs.st-and.ac.uk/history/Indexes/Arabs.html.)

[17] D. Perkins, Calculus and Its Origins, Mathematical Association of America, 2012.

[18] R. Rashed, “Science as a Western Phenomenon,” in Encyclopedia of the History of Science, Technology, and Medicine in Non-Western Cultures (2008), 1927-1933. http://link.springer.com/referenceworkentry/10.1007%2F978-1-4020-4425-0_9290

[19] R. Rashed, Al-Khwārizmī: The Beginnings of Algebra (edited, with translation and commentary by Roshdi Rashed), London: Saqi, 2009.

[20] V. Roberts, “The Solar and Lunar Theory of Ibn al-Shātir: A Pre-Copernican Copernican Model,” Isis 48 (1957): 428-432.

[21] A. S. Saidan, The Arithmetic of Al-Uqlīdisī, D. Reidel Publishing, 1978.

[22] G. Saliba, Islamic Science and the Making of the European Renaissance, MIT Press, 2007.

[23] W. Savitch, Problem Solving with C++ (7th ed.), Addison Wesley, 2009.

[24] R. K. Schwartz, "Combining Strands of Many Colors: Episodes from Medieval Islam for the Mathematics Classroom," Convergence (November 2010), DOI:10.4169/loci003546

[25] B. Steffens, Ibn al-Haytham First Scientist, Morgan Reynolds Publishing, 2007.

[26] B. Steffens, The Prisoner of Al-Hakim, A Novel, Blue Dome Press, 2017.

[27] N. M. Swerdlow and O. Neugebauer, Mathematical Astronomy in Copernicus's De revolutionibus Part I, Springer-Verlag, 1984.

[28] F. R. Vallhonesta, “Algebraic Symbolism in the First Algebraic Works in the Iberian Peninsula,” Philosophica 87 (2012): 117-152. Available: http://www.philosophica.ugent.be/fulltexts/87-4.pdf

[29] G. Van Brummelen, “A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011,” in From Alexandria Through Baghdad: Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J. L. Berggren (N. Sidoli, G. Van Brummelen, editors), Springer, 2014.

Nuh Aydin (Kenyon College), "Impacts of a Unique Course on the History of Mathematics in the Islamic World - References," Convergence (July 2017)

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