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Bibliography

All works listed are real publications; entries flagged in the text as resting on thinner evidence say so there. Editions and translations of primary sources are grouped after the general works.

Standard General Works

  • Berggren, J. L. Episodes in the Mathematics of Medieval Islam. Springer, 1986; 2nd ed. 2016. The standard English introduction, organized by topic with worked mathematics.
  • Katz, Victor J. A History of Mathematics: An Introduction. 3rd ed., Addison-Wesley, 2009. Chapter-length, mathematically detailed treatment of Islamic mathematics in world context.
  • Katz, Victor J. (ed.). The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook. Princeton University Press, 2007. Translated primary sources; the Islam chapter (Berggren) is the best single anthology in English.
  • Rashed, Roshdi. The Development of Arabic Mathematics: Between Arithmetic and Algebra. Kluwer, 1994. The arithmetization-of-algebra thesis: al-Karaji, al-Samawal, al-Farisi.
  • Rashed, Roshdi (ed.). Encyclopedia of the History of Arabic Science. 3 vols. Routledge, 1996.
  • Dictionary of Scientific Biography (DSB), Scribner's, 1970–1980, with the New DSB (2008). The scholar-by-scholar articles cited throughout ("DSB").
  • Rosenfeld, B. A. & Ihsanoglu, E. Mathematicians, Astronomers and Other Scholars of Islamic Civilization and Their Works (7th–19th c.). IRCICA, Istanbul, 2003. The bio-bibliographical census.
  • Van Brummelen, Glen. The Mathematics of the Heavens and the Earth: The Early History of Trigonometry. Princeton University Press, 2009.
  • Saliba, George. Islamic Science and the Making of the European Renaissance. MIT Press, 2007.
  • King, David A. In Synchrony with the Heavens: Studies in Astronomical Timekeeping and Instrumentation in Medieval Islamic Civilization. 2 vols. Brill, 2004–2005.
  • Kennedy, E. S. "A Survey of Islamic Astronomical Tables." Transactions of the American Philosophical Society 46.2 (1956).
  • Sayili, Aydin. The Observatory in Islam. Turkish Historical Society, 1960.
  • Gutas, Dimitri. Greek Thought, Arabic Culture: The Graeco-Arabic Translation Movement in Baghdad. Routledge, 1998.
  • Rosenfeld, B. A. A History of Non-Euclidean Geometry. Springer, 1988.
  • Smith, A. Mark. From Sight to Light: The Passage from Ancient to Modern Optics. University of Chicago Press, 2015.
  • Boyer, Carl B. The Rainbow: From Myth to Mathematics. 1959; reprint Princeton, 1987.
  • Kunitzsch, Paul. The Arabs and the Stars. Variorum, 1989. (Star names and transmission.)
  • Djebbar, Ahmed. Une histoire de la science arabe. Seuil, 2001; and his technical studies of Maghrebi mathematics.
  • Lamrabet, Driss. Introduction à l'histoire des mathématiques maghrébines. Rabat, 1994; 2nd ed. 2014.
  • Hogendijk, Jan P. & Sabra, A. I. (eds.). The Enterprise of Science in Islam: New Perspectives. MIT Press, 2003.

Editions and Translations of Primary Sources (selection used here)

  • Rosen, Frederic. The Algebra of Mohammed ben Musa. London, 1831. (First English al-Khwarizmi; superseded but historic.)
  • Rashed, Roshdi. Al-Khwarizmi: The Beginnings of Algebra. Saqi, 2009.
  • Saidan, A. S. The Arithmetic of al-Uqlidisi. Reidel, 1978.
  • Levey, Martin & Petruck, Marvin. Kushyar ibn Labban: Principles of Hindu Reckoning. University of Wisconsin Press, 1965.
  • Sesiano, Jacques. Books IV to VII of Diophantus' Arithmetica in the Arabic Translation Attributed to Qusta ibn Luqa. Springer, 1982.
  • Rashed, R. & Vahabzadeh, B. Omar Khayyam, the Mathematician. Bibliotheca Persica, 2000.
  • Rashed, Roshdi. Sharaf al-Din al-Tusi: Oeuvres mathématiques. 2 vols. Les Belles Lettres, 1986.
  • Rashed, R. & Ahmad, S. Al-Bahir en algèbre d'as-Samaw'al. Damascus, 1972.
  • Sabra, A. I. The Optics of Ibn al-Haytham, Books I–III: On Direct Vision. 2 vols. Warburg Institute, 1989.
  • Rashed, Roshdi. Geometry and Dioptrics in Classical Islam. al-Furqan, 2005. (Includes Ibn Sahl.)
  • Ragep, F. Jamil. Nasir al-Din al-Tusi's Memoir on Astronomy (al-Tadhkira fi ilm al-hay'a). 2 vols. Springer, 1993.
  • Kennedy, E. S. & Ghanem, Imad (eds.). The Life and Work of Ibn al-Shatir. Aleppo, 1976.
  • Sigler, L. E. Fibonacci's Liber Abaci: A Translation into Modern English of Leonardo Pisano's Book of Calculation. Springer, 2002.
  • Knobel, E. B. Ulugh Beg's Catalogue of Stars. Carnegie Institution, 1917.
  • Nallino, C. A. Al-Battani sive Albatenii Opus Astronomicum. 3 vols. Milan, 1899–1907.
  • Hill, Donald R. The Book of Ingenious Devices by the Banu Musa (1979) and al-Jazari, The Book of Knowledge of Ingenious Mechanical Devices (1974). Reidel.
  • Witmer, T. R. Girolamo Cardano: Ars Magna, or The Rules of Algebra. MIT Press, 1968.

Key Journal Articles Cited

  • Roberts, Victor. "The Solar and Lunar Theory of Ibn ash-Shatir: A Pre-Copernican Copernican Model." Isis 48 (1957): 428–432.
  • Hartner, Willy. "Copernicus, the Man, the Work, and Its History." Proceedings of the American Philosophical Society 117 (1973). (The Tusi-couple lettering comparison.)
  • Swerdlow, N. M. & Neugebauer, O. Mathematical Astronomy in Copernicus's De Revolutionibus. Springer, 1984.
  • King, David A. "Al-Khalili's Auxiliary Tables for Solving Problems of Spherical Astronomy." Journal for the History of Astronomy 4 (1973): 99–110.
  • Hogendijk, Jan P. "Discovery of an 11th-Century Geometrical Compilation: The Istikmal of Yusuf al-Mu'taman ibn Hud, King of Saragossa." Historia Mathematica 13 (1986): 43–52.
  • Hogendijk, Jan P. "Sharaf al-Din al-Tusi on the Number of Positive Roots of Cubic Equations." Historia Mathematica 16 (1989): 69–85.
  • Rashed, Roshdi. "A Pioneer in Anaclastics: Ibn Sahl on Burning Mirrors and Lenses." Isis 81 (1990): 464–491.
  • Ragep, F. Jamil. "Ali Qushji and Regiomontanus: Eccentric Transformations and Copernican Revolutions." Journal for the History of Astronomy 36 (2005): 359–371.
  • Morrison, Robert. "A Scholarly Intermediary between the Ottoman Empire and Renaissance Europe." Isis 105 (2014): 32–57.
  • Al-Kadi, Ibrahim A. "Origins of Cryptology: The Arab Contributions." Cryptologia 16 (1992): 97–126.
  • Lu, Peter J. & Steinhardt, Paul J. "Decagonal and Quasi-crystalline Tilings in Medieval Islamic Architecture." Science 315 (2007): 1106–1110.
  • Kennedy, E. S. "A Letter of Jamshid al-Kashi to His Father." Orientalia 29 (1960): 191–213.

Reliable Online Resources

  • MacTutor History of Mathematics Archive (University of St Andrews): scholar biographies with references. https://mathshistory.st-andrews.ac.uk/
  • The Encyclopaedia of Islam (Brill) and Encyclopaedia Iranica for biographical-historical articles.

Verification advice

For classroom or publication use, verify dates and attributions against DSB/New DSB or Rosenfeld & Ihsanoglu, which are the census-grade references; popular websites frequently repeat inflated claims this reference has tried to flag (Ibn Hamza and logarithms, the letter x, "Copernicus copied" without qualification).