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Teaching and Learning the Trigonometric Functions through Their Origins: References

Author(s): 
Daniel E. Otero (Xavier University)

Berggren, J. L. Episodes in the Mathematics of Medieval Islam. Springer, New York, NY, 2003.

Chereau, Fabien, and Guillaume Chereau. Stellarium Web. Stellarium Web Engine Project, 2020.

Hughes, Barnabas, O.F.M. Regiomontanus: On Triangles. University of Wisconsin Press, Madison, WI, 1967.

Katz, Victor. A History of Mathematics: an introduction. Addison Wesley, Reading, MA, second edition, 1998.

Katz, Victor, Annette Imhausen, Eleanor Robson, Joseph W. Dauben, Kim Plofker, and J. Lennart Berggren. The Mathematics of Egypt, Mesopotamia, China, India, and Islam: a Sourcebook. Princeton University Press, Princeton, NJ, 2007.

Kennedy, E. S. The Exhaustive Treatise on Shadows, by Abū Rayḥān Muḥammad ibn Aḥmad al-Bīrūnī. Institute for the History of Arabic Science, Aleppo, Syria, 1976.

Neugebauer, Otto, and David Pingree. The Pañcasiddhāntikā of Varāhamihira. Munksgaard, Copenhagen, Denmark, 1970/1972.

North, John. The Fontana History of Astronomy and Cosmology. Fontana Press, London, 1994.

Pedersen, Olaf. A Survey of the Almagest, with annotation and new commentary by Alexander Jones. Springer, New York, NY, 2011.

Plofker, Kim. Mathematics in India. Princeton University Press, Princeton, NJ, and Oxford, 2008.

Richards, E. G. Mapping Time: The calendar and its history. Oxford University Press, Oxford, 1998.

Suzuki, Jeff. Mathematics in Historical Context. Mathematical Association of America, Washington, DC, 2009.

Toomer, G. J. Ptolemy’s Almagest. Translated and annotated by G. J. Toomer; with a foreword by Owen Gingerich. Princeton University Press, Princeton, NJ, 1998.

Van Brummelen, Glen. The Mathematics of the Heavens and the Earth: The early history of trigonometry. Princeton University Press, Princeton, NJ, and Oxford, 2009.

Van Brummelen, Glen. The Doctrine of Triangles. Princeton University Press, Princeton, NJ, and Oxford, 2021.

Daniel E. Otero (Xavier University), "Teaching and Learning the Trigonometric Functions through Their Origins: References," Convergence (March 2020)