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Volumn 35, Issue 5-6, 2007, Pages 543-575

Medieval Arabic algebra as an artificial language

Author keywords

Ab K mil; Arabic algebra; Artificial language; Generosity

Indexed keywords


EID: 40549089868     PISSN: 00221791     EISSN: 15730395     Source Type: Journal    
DOI: 10.1007/s10781-007-9026-4     Document Type: Article
Times cited : (14)

References (52)
  • 1
    • 40549116159 scopus 로고    scopus 로고
    • Le manuscrit mathématique de Jerba: Une pratique des symboles algébriques maghrébins en pleine maturité
    • Abdeljaouad, M. (2002). Le manuscrit mathématique de Jerba: Une pratique des symboles algébriques maghrébins en pleine maturité. Quaderni de Ricerca in Didattica del G.R.I.M., 11, 110-173.
    • (2002) Quaderni de Ricerca in Didattica Del G.R.I.M. , vol.11 , pp. 110-173
    • Abdeljaouad, M.1
  • 2
    • 40549101179 scopus 로고    scopus 로고
    • Also published in Vol. 2, Abdallah El Idrissi and Ezzaim Laabid (Eds.). 2 vols. Marrakech: École Normale Supérieure, 2005.
    • Also published in Vol. 2, pp. 9-98 In: Abdallah El Idrissi and Ezzaim Laabid (Eds.), Actes du 7ème Colloque Maghrébin sur l'Histoire des Mathématiques Arabes. 2 vols. Marrakech: École Normale Supérieure, 2005. Also available online at: http://math.unipa.it/~grim/ MahdiAbdjQuad11.pdf. I refer to the pagination of the online pdf file.
    • Actes du 7ème Colloque Maghrébin sur L'Histoire des Mathématiques Arabes , pp. 9-98
  • 3
    • 27944468842 scopus 로고
    • (A facsimile edition of MS Istanbul, Kara Mustafa Paşa 379, copied in 1253 C.E. Edited by Jan P. Hogendijk.) Frankfurt am Main: Institute for the History of Arabic-Islamic Science at the Johann Wolfgang Goethe University
    • Abū Kāmil (1986). Kitāb fī al-Jabr wa'l-Muqābala. (A facsimile edition of MS Istanbul, Kara Mustafa Paşa 379, copied in 1253 C.E. Edited by Jan P. Hogendijk.) Frankfurt am Main: Institute for the History of Arabic-Islamic Science at the Johann Wolfgang Goethe University.
    • (1986) Kitāb Fī Al-Jabr Wa'l-Muqābala
    • Kamil, A.1
  • 6
    • 0040860330 scopus 로고
    • Aristotle, translated by Hippocrates G. Apostle. Bloomington: Indiana University
    • Aristotle (1966). Aristotle's Metaphysics, translated by Hippocrates G. Apostle. Bloomington: Indiana University.
    • (1966) Aristotle's Metaphysics
  • 10
    • 0004266718 scopus 로고
    • translated from the French and Latin by David Eugene Smith and Mareia L. Latham. New York: Dover. (Originally published 1925.)
    • Descartes, R. (1954). The geometry of René Descartes, with a facsimile of the first edition, translated from the French and Latin by David Eugene Smith and Mareia L. Latham. New York: Dover. (Originally published 1925.)
    • (1954) The Geometry of René Descartes, with a Facsimile of the First Edition
    • Descartes, R.1
  • 11
    • 35048871158 scopus 로고
    • The Khulāsat al-Hisab of Baha' al-Dīn. al-'Āmilī and the Dar-i-Nizāmī in India
    • De Young, G. (1986). The Khulāsat al-Hisab of Baha' al-Dīn. al-'Āmilī and the Dar-i-Nizāmī in India. Ganita Bharati, 8, 1-15.
    • (1986) Ganita Bharati , vol.8 , pp. 1-15
    • De Young, G.1
  • 15
    • 60349098535 scopus 로고
    • edited by Mustafā Mawāldī. Cairo: Ma'had al-Makhţüţāt al-'Arabīyah
    • Al-Fārisī (1994). Asās al-Qawā'id fī Usūl al-Fawā id, edited by Mustafā Mawāldī. Cairo: Ma'had al-Makhţüţāt al-'Arabīyah.
    • (1994) Asās Al-Qawā'id Fī Usūl Al-Fawā Id
    • Al-Farisi1
  • 17
    • 27944463282 scopus 로고
    • Lawrence J. Schoenberg collection, MS ljs 293, copied in Şafar 590 (Jan/Feb 1194 CE)
    • Al-Hassar, M. (1194). Kitāb al-Bayān wa'l-Tadhkār fī San'at Amal al-Ghubār. Lawrence J. Schoenberg collection, MS ljs 293, copied in Şafar 590 (Jan/Feb 1194 CE). Facsimile available online at: http://dewey.library.upenn.edu/sceti/ljs/
    • (1194) Kitāb Al-Bayān Wa'l-Tadhkār Fī San'at Amal Al-Ghubār
    • Al-Hassar, M.1
  • 18
    • 40549123544 scopus 로고
    • edited by Muhammad Suwaysī. Halab, Sūrīyah: Jāmi'at Halab, Ma'had al-Turāth al-'Ilmī al-'Arabī
    • Ibn Ghāzī (1983). Bughyat al-Tullāb fī Sharh. Munyat al-Hussāb, edited by Muhammad Suwaysī. Halab, Sūrīyah: Jāmi'at Halab, Ma'had al-Turāth al-'Ilmī al-'Arabī.
    • (1983) Bughyat Al-Tullāb Fī Sharh. Munyat Al-Hussāb
    • Ghazi, I.1
  • 19
    • 85041908719 scopus 로고    scopus 로고
    • edited, commented, and partially translated by Mahdi Abdeljaouad. Tunis: Publication de l'Association Tunisienne des Sciences Mathématiques
    • Ibn al-Hā'im (2003). Sharh al-Urjūza al- Yäsmīnīya, edited, commented, and partially translated by Mahdi Abdeljaouad. Tunis: Publication de l'Association Tunisienne des Sciences Mathématiques.
    • (2003) Sharh Al-Urjūza Al-Yäsmīnīya
    • Al-Ha'im, I.1
  • 20
    • 40549123173 scopus 로고
    • edited by Adel. Anbouba. Beirut: Manshūrāt al Jāmi'ah al-Lubnānīah
    • Al-Karajī (1964). Al-badt fī al-Hisāb, edited by Adel. Anbouba. Beirut: Manshūrāt al Jāmi'ah al- Lubnānīah.
    • (1964) Al-badt Fī Al-Hisāb
    • Al-Karaji1
  • 21
    • 40549137936 scopus 로고
    • edited and commented by Sami Chalhoub. Aleppo: Aleppo University
    • Al-Karajī (1986). Al-Kāftī ft'l Hisā. edited and commented by Sami Chalhoub. Aleppo: Aleppo University.
    • (1986) Al-Kāftī Ft'l Hisā
    • Al-Karaji1
  • 22
    • 67349103118 scopus 로고
    • edited by Ahmad Sa'īd Dimirdāsh and Muhammad Hamdī al-Hifnī al-Shaykh. Cairo: Dār al-Kātib al-'Arabī
    • Al-Kāshī (1969). Miftāh al-Hisāb, edited by Ahmad Sa'īd Dimirdāsh and Muhammad Hamdī al-Hifnī al-Shaykh. Cairo: Dār al-Kātib al-'Arabī.
    • (1969) Miftāh Al-Hisāb
    • Al-Kashi1
  • 23
    • 0002193443 scopus 로고
    • New York: Teachers College, Columbia University. (Reprinted 1998 in IM&A volume 45.)
    • Kasir, D. S. (1931). The algebra of Omar Khayyam. New York: Teachers College, Columbia University. (Reprinted 1998 in IM&A volume 45.)
    • (1931) The Algebra of Omar Khayyam
    • Kasir, D.S.1
  • 24
    • 40549143236 scopus 로고
    • edited by Abī al-Hasan 'Alī ibn Muhammad al Khāzin. Haydarābād al-Dakan: Matba'at Dā'irat al-Ma'ārif al-'Uthmānīyah, 1359 [1940]
    • Al-Khāzinī (1940) Kitāb Mīaz̄n al-Hikmah, edited by Abī al-Hasan 'Alī ibn Muhammad al Khāzin. Haydarābād al-Dakan: Matba'at Dā'irat al-Ma'ārif al-'Uthmānīyah, 1359 [1940]
    • (1940) Kitāb Mīaz̄n Al-Hikmah
    • Al-Khazini1
  • 25
    • 33846282935 scopus 로고
    • translated and edited by Frederic Rosen. London: Nachdruck der Ausgabe. (Reprinted 1997 as IM&A volume 1.)
    • Al-Khwārizmī (1831). The algebra of Mohammed ben Musa, translated and edited by Frederic Rosen. London: Nachdruck der Ausgabe. (Reprinted 1997 as IM&A volume 1.)
    • (1831) The Algebra of Mohammed Ben Musa
    • Al-Khwarizmi1
  • 26
    • 27944455384 scopus 로고
    • edited by 'Alī Musţafā Musharrafa and Muhammad Mursl Ahmad. Cairo. (Reprinted 1968.)
    • Al-Khwārizmi (1939). Kitāb al-Mukhtaşar fī Hisāb al-Jabr wa'l-Muqābala, edited by 'Alī Musţafā Musharrafa and Muhammad Mursl Ahmad. Cairo. (Reprinted 1968.)
    • (1939) Kitāb Al-Mukhtaşar Fī Hisāb Al-Jabr Wa'l-Muqābala
    • Al-Khwarizmi1
  • 27
    • 8444241171 scopus 로고
    • translated and commented by Martin Levey and Marvin. Petruck. Madison: University of Wisconsin. Press
    • Kūshyār ibn Labbān (1965). Principles of Hindu reckoning, translated and commented by Martin Levey and Marvin. Petruck. Madison: University of Wisconsin. Press.
    • (1965) Principles of Hindu Reckoning
    • Labban, K.I.1
  • 28
    • 8444230330 scopus 로고    scopus 로고
    • Levey, M. (Ed.), 1966 Hebrew text, translation and commentary with, special, reference to the Arabic text. Madison: University of Wisconsin.
    • Levey, M. (Ed.), (1966). The algebra of Abū Kāmil: Kitāb fī al-Jābr wa'l-Muqābala in a commentary by Mordecai Finzi. Hebrew text, translation and commentary with, special, reference to the Arabic text. Madison: University of Wisconsin.
    • The Algebra of Abū Kāmil: Kitāb Fī Al-Jābr Wa'l-Muqābala in a Commentary by Mordecai Finzi
  • 33
    • 27944472595 scopus 로고    scopus 로고
    • Mal, enunciations, and the prehistory of Arabic algebra
    • Oaks, J. A., & Alkhateeb, H. M. (2005). Mal, enunciations, and the prehistory of Arabic algebra. Historia Mathematica, 32, 400-425.
    • (2005) Historia Mathematica , vol.32 , pp. 400-425
    • Oaks, J.A.1    Alkhateeb, H.M.2
  • 34
    • 33846302468 scopus 로고    scopus 로고
    • Simplifying equations in Arabic algebra
    • Oaks, I A., & Alkhateeb, H. M. (2007). Simplifying equations in Arabic algebra. Historia Mathematica, 34, 45-61.
    • (2007) Historia Mathematica , vol.34 , pp. 45-61
    • Oaks, I.A.1    Alkhateeb, H.M.2
  • 35
    • 60349103862 scopus 로고    scopus 로고
    • Polynomials and equations in Arabic algebra
    • forthcoming To appear in
    • Oaks, J. A. (forthcoming). Polynomials and equations in Arabic algebra. To appear in Archive for History of Exact Sciences.
    • Archive for History of Exact Sciences
    • Oaks, J.A.1
  • 37
    • 0039867723 scopus 로고
    • translated by Geoffrey French. Princeton: Princeton University
    • Pedersen, J. (1984). The Arabic book, translated by Geoffrey French. Princeton: Princeton University.
    • (1984) The Arabic Book
    • Pedersen, J.1
  • 40
    • 40549115138 scopus 로고
    • 2 vols. Kuwait: Al-Majlis al-Watanī lil-Thaqāfah wa'l-Funūn wa'l-Ādāb, Qism alTurāth al-'Arabī. Volume I contains al-Fakhrī fī Sināat al-Jabr wa'l-Muqābala of al-Karajī, and volume II contains the Kitāb fīhi Ikhtişār al-Jabr wa'l-Muqābala of Ibn Badr and the Kitāb al-Jabr wa'l-Muqābala of Ibn al-Bannǎ
    • Saidan, A. S. (1986). Tārīkh 'Ilm al-Jabr fī l-'Ālam al-'Arabī (History of algebra in Medieval Islam), 2 vols. Kuwait: Al-Majlis al-Watanī lil-Thaqāfah wa'l-Funūn wa'l-Ādāb, Qism alTurāth al-'Arabī. Volume I contains al-Fakhrī fī Sināat al-Jabr wa'l-Muqābala of al-Karajī, and volume II contains the Kitāb fīhi Ikhtişār al-Jabr wa'l-Muqābala of Ibn Badr and the Kitāb al-Jabr wa'l-Muqābala of Ibn al-Bannǎ.
    • (1986) Tārīkh 'Ilm Al-Jabr Fī L-'Ālam Al-'Arabī (History of Algebra in Medieval Islam)
    • Saidan, A.S.1
  • 41
    • 33846334325 scopus 로고
    • Edited by S. Ahmad and R. Rashed. Damascus: Imp. de l'Université de Damas
    • Al-Samaw'al (1972). Al-Bāhir fī al-Jabr. Edited by S. Ahmad and R. Rashed. Damascus: Imp. de l'Université de Damas.
    • (1972) Al-Bāhir Fī Al-Jabr
    • Al-Samaw'al1
  • 42
    • 40549124168 scopus 로고
    • Sánchez Pérez, José A. (Ed.), (Ibn Badr). Texto Árabe, traducción y estudio por José A. Sánchez Pérez. Madrid: Impr. Ibérica. (Reprinted 1998 as IM&A volume 69.)
    • Sánchez Pérez, José A. (Ed.), 1916 (Ibn Badr). Compendio de álgebra de abenbéder. Texto Árabe, traducción y estudio por José A. Sánchez Pérez. Madrid: Impr. Ibérica. (Reprinted 1998 as IM&A volume 69.)
    • (1916) Compendio de Álgebra de Abenbéder
  • 46
    • 40549130536 scopus 로고    scopus 로고
    • Islamic mathematics
    • Helain Selin and Ubiratan ïAmbrosio, ed. Dordrecht: Kluwer Academic Publishers.
    • Sesiano, J. (2000). Islamic mathematics. Pp. 137-165 in: Helain Selin and Ubiratan ïAmbrosio, ed. Mathematics across cultures: The history of non-Western mathematics. Dordrecht: Kluwer Academic Publishers.
    • (2000) Mathematics Across Cultures: The History of Non-Western Mathematics , pp. 137-165
    • Sesiano, J.1
  • 47
    • 33747025777 scopus 로고    scopus 로고
    • Artificial languages across sciences and civilizations
    • Staal, F. (2006). Artificial languages across sciences and civilizations. Journal of Indian Philosophy, 34, 87-139.
    • (2006) Journal of Indian Philosophy , vol.34 , pp. 87-139
    • Staal, F.1
  • 49
    • 0348165705 scopus 로고
    • Das Buch der Seltenheiten der Rechenkunst von. Abū Kāmil el-Mişrī
    • Suter, H. (1910/11). Das Buch der Seltenheiten der Rechenkunst von. Abū Kāmil el-Mişrī. Bibliotheca Mathematica ser. 3., Vol. 11, pp. 100-120.
    • (1910) Bibliotheca Mathematica Ser. 3 , vol.11 , pp. 100-120
    • Suter, H.1
  • 50
    • 84917271236 scopus 로고
    • Woepcke, F. (Ed.) publiée, traduite et accompagnée ¿'extracts de manuscrits inédits. Paris. (Reprinted 1.998 in IM.&A volume 45.)
    • Woepcke, F. (Ed.) (1.851). L'algèbre d'Omar Alkhayyāmī , publiée, traduite et accompagnée ¿'extracts de manuscrits inédits. Paris. (Reprinted 1.998 in IM.&A volume 45.)
    • (1851) L'algèbre D'Omar Alkhayyāmī
  • 52
    • 0002956058 scopus 로고
    • The concept of function up to the middle of the 19th Century
    • Youschkevitch, A. P. (1976). The concept of function up to the middle of the 19th Century. Archive for History of Exact Sciences, 16, 37-85.
    • (1976) Archive for History of Exact Sciences , vol.16 , pp. 37-85
    • Youschkevitch, A.P.1


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