Bibliography
- Manuscripts (all websites accessed 19 July 2022)
- ʿAlī al-Sulamī, al-Muqaddima al-kāfiyya fī ḥisāb al-jabr wa’l-muqābala wa mā yuʿrafu bihi qiyāsuhū min al-amthila. MS Vatican, Sbath 5. https://digi.vatlib.it/view/MSS_Sbath.5 (#267 [M1]).
- Anonymous, No title. Paris, MS BnF arabe 4441. https://gallica.bnf.fr/ark:/12148/btv1b11003818z.
- al-Anṣārī, Nūr al-Dīn, Fatḥ al-wahhāb ʿalā nuzhat al-ḥussāb. Paris, MS BnF arabe 2475.2, ff.45a–99a. http://gallica.bnf.fr/ark:/12148/btv1b110024450 (#1066 [M2]).
- al-Ghazzī, Shihāb al-Dīn, Sharḥ kitāb Nuzhat al-huẓẓār fī ʿilm al-ghubār. London, MS British Library Or 8416.1, ff.2r–129r. http://www.qdl.qa/en/archive/81055/vdc_100055934394.0(000001 (#997 [M1]).
- al-Karajī, al-Fakhrī fī ṣināʿat al-jabr wa l-muqābala. Paris, MS BnF arabe 2459. http://gallica.bnf.fr/ark:/12148/btv1b11001788s (#309 [M2]).
- al-Ḥaṣṣār, Muḥammad, Kitāb al-bayān wa-l-tadhkār fī ṣanʿat ʿamal al-ghubār. Philadelphia, MS University of Pennsylvania, Lawrence J. Schoenberg collection ljs 293. http://openn.library.upenn.edu/Data/0001/html/ljs293.html (#532 [M1]).
- al-Nīsābūrī, Yūsuf ibn Aḥmad, Bulūgh al-ṭullāb fī ḥaqāʾiq ʿilm al-ḥisāb. Leiden, MS Leiden University Or. 780. http://hdl.handle.net/1887.1/item:1573840 (#218 [M1]).
- Ibn al-Qunfūdh al-Qustanṭīn, Ḥaṭṭ al-niqāb ʿan wujūh aʿmāl al-ḥisāb. Philadelphia, MS University of Pennsylvania, Lawrence J. Schoenberg collection MS ljs 481. http://openn.library.upenn.edu/Data/0001/html/ljs481.html (#780 [M1]).
- al-Samawʾal A, Kitāb al-tabṣira fī ʿilm al-ḥisāb. Berlin, MS Staatsbibliothek Glaser 40. https://digital.staatsbibliothek-berlin.de/werkansicht/?PPN=PPN646146610&PHYSID=PHYS_0007 (#487 [M4]).
- al-Samawʾal B, al-Bāhir fī ʿilm al-ḥisāb. Istanbul, MS Suleymaniye Library Aya Sofya 2718 (#487 [M1]).
- al-Ṣardafī, Mukhtaṣar al-hindī fī ʿilm al-ḥisāb. Berlin, MS Staatsbibliothek Glaser 6. https://digital.staatsbibliothek-berlin.de/werkansicht?PPN=PPN646422162&PHYSID=PHYS_0007 (#411 [M1]).
Websites
- Ptolemy (web A), ‘Ptolemy, al-Majisṭī (tr. al-Ḥajjāj), Leiden, UB, Or. 680, transcribed by Josep Casulleras’. https://ptolemaeus.badw.de/ms/668/970/text/1. Accessed on 19 July 2022. Part of the site Ptolemaeus Arabus et Latinus, directed by Prof. Dr. Dag Nikolaus Hasse, https://ptolemaeus.badw.de/start.
- Ptolemy (web B), ‘Ptolemy, al-Majisṭī (tr. Isḥāq b. Ḥunayn/Thābit b. Qurra). Tunis, Dār al-kutub al-waṭaniyya, 7116, transcribed by Pouyan Rezvani’. https://ptolemaeus.badw.de/ms/669/971/text/1. Accessed on 19 July 2022. Part of the site Ptolemaeus Arabus et Latinus, directed by Prof. Dr. Dag Nikolaus Hasse, https://ptolemaeus.badw.de/start.
- Published works
- Aballagh, M, ‘Les fondements des mathématiques à travers le Rafʿ al-ḥijāb d’Ibn al-Bannāʾ (1256–1321)’, in Actes du 1e Colloque Maghrébin sur l’Histoire des Mathématiques Arabes (Alger, 1–3 Décembre 1986). Alger: Maison du livre, 1988, 11–23.
- Abdeljaouad, Mahdi, and Oaks, Jeffrey, Al-Hawārī’s Essential commentary: Arabic arithmetic in the fourteenth century, Berlin: Max-Planck-Gesellschaft zur Förderung der Wissenschaften, 2021. https://edition-open-sources.org/sources/14/ (#747 [M1]).
- Abū Kāmil, Algèbre et analyse diophantienne (edition, traduction et commentaire par Roshdi Rashed), Berlin; Boston: Walter de Gruyter, 2012 (#124 [M1]).
- al-Baghdādī, Kitāb al-takmila fī l-ḥisāb (ed A S Saidan), Kuwait: Maʿhad al-Makhṭūṭāt al-ʿArabiyah, 1985 (#320 [M1]).
- Berkey, Jonathan, The transmission of knowledge in medieval Cairo, Princeton: Princeton University, 1992.
- al-Bīrūnī, Muḥammad ibn Aḥmad, The book of instruction in the elements of the art of astrology (Facsimile edition of Brit. Mus. Ms. Or. 8349, with translation by R Ramsay Wright), London: Luzac, 1934. (#348 [A2]).
- Burnett, Charles, Zhao, Ji-Wei, and Lampe, Kurt, ‘The Toledo Regule (Liber Alchorismi, part II): a twelfth-century arithmetical miscellany’, SCIAMVS, 8 (2007), 141–231.
- Chamberlain, Michael, Knowledge and social practice in medieval Damascus, 1190–1350, Cambridge: Cambridge University, 1994.
- Crossley, John, and Henry, Alan S, ‘Thus spake al-Khwārizmī: a translation of the text of Cambridge University Library Ms. Ii.vi.5’, Historia Mathematica, 17 (1990), 103–131 (#41 [M1]).
- Djebbar, Ahmed, ‘D u nombre pensé à la pensée du nombre: quelques aspects de la pratique arithmétique arabe et de ses prolongements en Andalus et au Maghreb’, in C Alvarez, J Dhombres, and J C Pont (eds), Actes de la Rencontre Internationale de Peiresc sur la pensée numérique (Peiresc, 710 Septembre 1999), Sciences et Techniques en Perspective, IIe série, vol 8, fascicle 1, 2004, 303–322.
- Euclid, The thirteen books of Euclid’s Elements (trans Sir Thomas Heath), New York: Dover, 2nd edition, 1956.
- al-Fārābī, Le recensement des sciences (ed and trans Amor Cherni). [Beyrouth]: Albouraq; Paris: Diffusion Librairie de l’Orient, 2015.
- al-Fārisī, Asās al-qawāʿid fī uṣūl al-fawāʾid (ed Muṣṭafā Mawāldī), Cairo: Maʿhad al-Makhṭūṭāt al-ʿArabīyah, 1994 (#674 [M2]).
- Folkerts, Menso, ‘Early texts on Hindu-Arabic calculation’, Science in Context, 14 (2001), 13–38.
- Ginsburg, Jekuthial, and Smith, David Eugene, ‘New light on our numerals’, Bulletin of the American Mathematical Society, 23/8 (1917), 366–369.
- Ibn al-Bannāʾ, Talkhīṣ aʿmāl al-ḥisāb (Texte établi, annoté et traduit par Mohamed Souissi), Tunis: Université de Tunis, 1969 (#696 [M1]).
- Ibn al-Bannāʾ, Māqālat fī'l-ḥisāb (ed A S Saidan), ʿAmmān: Dār al-Furqān, 1984 (#696 [M2]).
- Ibn al-Bannāʾ, Rafʿ al-ḥijāb ʿan wujūh aʿmāl al-ḥisāb (ed M Aballagh), Fās: Jāmiʿat Sīdī Muḥammad ibn ʿAbd Allāh, 1994 (#696 [M8]).
- Ibn al-Hāʾim, al-Maʿūnah fī ʿilm al-ḥisāb al-hawāʾī (ed Khuḍayr ʿAbbās Muḥammad Khalīf al-Munshidāwī), Baghdad: Wizārat al-Thaqāfah wa'l-Iʿlām, Dār al-Āthār wa’l-Turāth, 1988 (#783 [M1]).
- Ibn al-Hāʾim, Muršidat al-ṭālib ilā asnā al-maṭālib fī ʿilm al-ḥisāb (ed Farès Bentaleb), Beirut: Dār al-Gharb al-Islāmī, 1999 (#783 [M5]).
- Ibn Ghāzī, Bughyat al-ṭullāb fī sharḥ munyat al-ḥussāb (ed Muḥammad Suwaysī), Ḥalab, Sūrīyah: Jāmiʿat Ḥalab, Maʿhad al-Turāth al-ʿIlmī al-ʿArabī, 1983 (#913 [M2]).
- Ibn Munʿim, Fiqh al-ḥisāb (ed Driss Lamrabet), al-Rabāṭ: Dār al-Amān, 2005 (#566 [M1]).
- Ibn Sīnā, The metaphysics of the healing (a parallel English-Arabic text translated, introduced, and annotated by Michael E Marmura), Provo: Brigham Young University, 2005.
- al-Karajī, Kitāb al-badīʿ fī l-ḥisāb (ed Adel Anbouba), Beirut: Manshūrāt al-Jāmiʿah al-Lubnānīah, 1964 (#309 [M3]).
- al-Karajī, al-Kāfī fī l-ḥisāb (ed Sami Chalhoub), Aleppo: Jāmiʿat Ḥalab, Maʿhad al-Turāth al-ʿIlmī al-ʿArabī, 1986 (#309 [M1]).
- al-Kāshī, Miftāḥ al-ḥisāb (ed Aḥmad Saʿīd Dimirdāsh and Muḥammad Ḥamdī al-Ḥifnī al-Shaykh), Cairo: Dār al-Kātib al-ʿArabī, 1969 (#802 [M1]).
- al-Kāshī, Al-Kāshī’s Miftāḥ al-ḥisāb, Volume I: arithmetic (trans and commentary by Nuh Aydin and Lakhdar Hammoudi), Cham: Birkhauser, 2019 (#802 [M1]).
- al-Khwārazmī, Muḥammad ibn Aḥmad, Liber Mafātīh al-olūm, explicans vocabula technica scientiarum tam Arabum quam peregrinorum, auctore Abū Abdallah Mohammed ibn Ahmed ibn Jūsof al-Kātib al-Khowarezmi (ed G van Vloten), Leiden: E J Brill, 1895.
- al-Khwārazmī, Muḥammad ibn Mūsā, Die älteste lateinische Schrift über das indische Rechnen nach al-Hwārizmī (ed, trans and commented by Menso Folkerts with the collaboration of Paul Kunitzsch), Munich: Bayerische Akademie der Wissenschaften, 1997 (#41 [M1]).
- al-Khwārazmī, Muḥammad ibn Mūsā, al-Khwārizmī: the beginnings of algebra (ed Roshdi Rashed), London: Saqi, 2009 (#41 [M3]).
- Kunitzsch, Paul, ‘The transmission of Hindu-Arabic numerals reconsidered’, in Jan P Hogendijk and Abdelhamid I Sabra (eds), The enterprise of science in Islam: new perspectives. Cambridge, MA: MIT, 2003, 3–21.
- Kūshyār ibn Labbān, Principles of Hindu reckoning (a translation with introduction and notes by Martin Levey and Marvin Petruck), Madison: University of Wisconsin Press, 1965 (#308 [M1]).
- Lamrabet, Driss, Introduction à l’histoire des mathématiques maghrébins (Deuxième édition revue et augmentée), Rabat: Driss Lamrabet, 2014.
- Lane, Edward William, An Arabic-English lexicon, London; Edinburgh: Williams and Norgate, 1893.
- Mueller, Ian, Philosophy of mathematics and deductive structure in Euclid’s Elements, Cambridge, MA: MIT, 1981.
- Oaks, Jeffrey A, ‘Polynomials and equations in Arabic algebra’, Archive for History of Exact Sciences, 63 (2009), 169–203.
- Oaks, Jeffrey A, ‘Equations and equating in Arabic mathematics’, Archives Internationales d’Histoire des Sciences, 60/2 (2010), 265–298.
- Oaks, Jeffrey A, ‘Algebraic symbolism in medieval Arabic algebra’, Philosophica, 87 (2012), 27–83.
- Oaks, Jeffrey A, ‘Irrational ‘coefficients’ in Renaissance algebra’, Science in Context, 30 (2017), 141–172.
- Oaks, Jeffrey A, and Alkhateeb, Haitham M, ‘Māl, enunciations, and the prehistory of Arabic algebra’, Historia Mathematica, 32 (2005), 400–425.
- Oaks, Jeffrey A, and Alkhateeb, Haitham M, ‘Simplifying equations in Arabic algebra’, Historia Mathematica, 34 (2007), 45–61.
- Ptolemy, Almagest: Claudii Ptolemaei Opera quae existant omnia, Vol. I, Syntaxis Mathematica. Pars I: Libros I–VI Continens (ed J L Heiberg), Leipzig: Teubner, 1898.
- Ptolemy, Ptolemy’s Almagest (trans and annotated by G J Toomer), Princeton: Princeton University, 1998.
- al-Qalaṣādī, Kashf al-asrār ʿan ʿilm hurūf al-ghubār, Tunis: al-Muʾassasah al-Waṭanīyah lil-Tarjamah wa'l-Taḥqīq wa'l-Dīrasāt, Bayt al-Ḥikmah, 1988 (#865 [M3]).
- al-Qalaṣādī, Sharḥ talkhīṣ aʿmāl al-ḥisāb (ed Farès Bentaleb), Beirut: Dār al-Gharb al-Islāmī, 1999 (#865 [M7]).
- Rashed, Roshdi, L'algèbre arithmétique au XIIe siècle: ‘Al-Bāhir’ d’al-Samawʾal, Berlin: De Gruyter, 2021 (#487 [M1]).
- Rosenfeld, Boris A, and İhsanoğlu, Ekmeleddin, Mathematicians, astronomers, and other scholars of Islamic civilization and their works (7th–19th C.), Istanbul: Research Center for Islamic History, Art and Culture (IRCICA), 2003.
- Saidan, Ahmad Salim, ‘Jāmiʿ al-ḥisāb bi l-takht wa l-turāb, li Naṣīr al-Dīn al-Ṭūsī’, Al-Abhath: Quarterly Journal of the American University, 20 (1967), 91–164; 213–192 (#606 [M17]).
- Saidan, Ahmad Salim, Tārīkh ʿilm al-ḥisāb al-ʿArabī, ʿAmman: Jamʿiyat ʿUmāl al-Maṭābiʿ al-Taʿāwinīa, 1971 (#256 [M2]).
- Saidan, Ahmad Salim, ed, Tārīkh ʿilm al-jabr fī l-ʿālam al-ʿArabī, 2 volumes, Kuwait: al-Majlis al-Waṭanī lil-Thaqāfah wa’l-Funūn wa’l-Ādāb, Qism al-Turāth al-ʿArabī, 1986 (#309 [M2], #587 [M1], #696 [M6]).
- Sibṭ al-Māridīnī, al-Lamʿah al-Māridīnīyah fī sharḥ al-Yāsamīnīyah lil-Mardīnī (ed Muḥammad Suwaysī), Kuwait: al-Majlis al-Waṭanī slil-Thaqāfah wa l-Funūn wa l-Ādāb, Qism al-Turāth al-ʿArabī, 1983 (#873 [M10]).
- Sibṭ al-Māridīnī, Irshād al-ṭullāb ilā wasīlat al-ḥisāb (edition, study and analysis by Moustafa Mawaldi), Aleppo: Institute for the History of Arabic Science, 2004 (#873 [M7]).
- al-Uqlīdisī, The arithmetic of al-Uqlīdisī. The story of Hindu-Arabic arithmetic as told in Kitāb Al-fuṣūl fī al-ḥisāb al-Hindī by Abū al-Ḥasan Aḥmad ibn Ibrāhīm al-Uqlīdisī, written in Damascus in the year 341 (A.D.952/3) (trans and annotated by A S Saidan), Dordrecht: D Reidel, 1978 (#232 [M1]).
- al-Uqlīdisī, al-Fuṣūl fī l-ḥisāb al-Hindī (ed A S Saidan), Sūryā: Manshūrāt Jamiʿat Ḥalab, Maʿhad al-Turāth al-ʿIlmī al-ʿArabī, 1984 (#232 [M1]).
- Zemouli, T, Muʾallafāt Ibn al-Yāsamīn al-riyāḍiyya (Mathematical writings of Ibn al-Yāsamīn), MSc thesis in History of Mathematics, E.N.S., Algiers, 1993 (#521 [M3]).
- Zemouli, T, Muʾallafāt Ibn al-Yāsamīn al-riyāḍiyya (Mathematical writings of Ibn al-Yāsamīn), New, and still unpublished, version of (Zemouli 1993), n.d. (#521 [M3]).