TEXT
Mukhtaṣar min ḥisāb al-jabr wa-al-muqābalah
| Title (arabic) |
مختصر من حساب الجبر والمقابلة
|
| Title (translit) |
Mukhtaṣar min ḥisāb al-jabr wa-al-muqābalah
|
| Alias |
al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wa-al-muqābalah
|
| Author |
|
| Language |
Arabic
|
| Subject |
|
| Commented in |
Kitāb tafsīr kitāb al-Khwārizmī fī al-jabr wa-al-muqābalah
Sharḥ kitāb Muḥammad ibn Mūsá al-Khwārizmī fī al-jabr
Kitāb sharḥ al-jabr wa-al-muqābalah lil-Khwārizmī
|
| ismi_id |
55519
|
Literature References
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P. 22 (no.41), M3.
Dold-Samplonius, Yvonne. 1987. “Developments in the Solution of the Equation Cx² + Bx = a from Al-Khwārizmī to Fibonacci”. In From Deferent to Equant: A Volume of Studies in the History of Science in the Ancient and Medieval Near East in Honor of E. S. Kennedy, eds. David King and George Saliba, 71-87. New York: New York Academy of Sciences.
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Yuldashev, K. 1985. “O sotsial’no-Ekonomicheskikh Aspektakh Tvorchestva Al-Khorezmi”. In Velikiy Uchenyy srednevekov’ya Al-Khorezmi. Materialy Yubileynoy Nauchnoy Konferentsii, Posvyashchennoy 1200-Letiyu so Dnya Pozhdeniya Muhammada Ibn Musy Al-Khorezmi, ed. M.M. Khayrullayev, 144-48. Tashkent.
Economic problems in chapters 16-22.
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Tajiki translation.
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Dānishpazhūh, Muḥammad-Taqī. 1984. “Jabr-I Ḫwārazmī”. In Yādnāmah-Yi Muḥammad Ibn Mūsỳ Ḫwārazmī, 55-64. Tehran: Muʾassasah-yi Muṭālaʿāt wa Taḥqīqāt-i Farhangī.
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Uzbek translation by Ahmedov, pp. 75-138; research, pp. 5-56.
Rashed, Roshdi. 1983. “L’idée De l’algèbre Selon Al-Khwarizmi”. Fundamenta Scientiae 4: 87-100.
Rashed, Roshdi. 1983. “Nombres Amiables, Parties Aliquotes Et Nombres figurés Aux XIII ème Et XIV ème siècles”. Archive for History of Exact Sciences 28 (2): 107-47.
Rozenfeld, Boris, P.G. Bulgakov, and A.A. Ahmedov. 1983. Muhammad Al-Khorezmi. Ok. 783 - Ok. 850. Moscow.
Pp. 77-113.
Dold-Samplonius, Yvonne. 1983. “Ob Algebraicheskom Uravnenii Al-Khorezmi (IV Sluchay, Cx² + Bx = A)”. In Muhammad Ibn Musa Al-Khorezmi. K 1200-Letiyu so Dnya Rozhdeniya, eds. Boris Rozenfeld and Adolf Youschkevitch, 109-15. Moscow: Nauka.
Maracchia, Silvio. 1977. “Equazioni Di Secondo Grado in Mohammed Ben Musa Al-Khuwarizmi”. Archimede 29: 244-50.
Grant, Edward. 1974. A Source Book in Medieval Science. Cambridge; Massachusetts : Harvard University Press.
English translation of the chapter on equations, pp. 106-111.
Ḫwārizmī, Muḥammad. 1968. “Kitāb Al-Jabr Wa-ʾl-Muqābala”. In , eds. ʿAlī Mušarrafa and Muḥammad Aḥmad. Cairo.
Edition of the Oxford manuscript.
Rozenfeld, Boris, and Y.H. Kopelevich. 1964. Mukhammad al’-Khorezmi. Matematicheskiye Traktaty. Tashkent.
Russian translation of the Oxford manuscript by Rozenfeld, pp. 25-88; research by Rozenfeld, pp. 103-125.
Mušarrafa, ʿAlī. 1939. “Muḥammad Ibn Mūsỳ Al-Ḫwārizmī Wa-Āṯaruhū Fi ʿIlm Al-Jabr”. Majallaẗ Al-Jamʿiyyaẗ Al-Miṣriyyaẗ Li-Taʾrīḫ Al-ʿUlūm 2 (ʿAdad Ḫāṣṣ ʿan taʾrīḫ al-ʿulūm wa yašmal al-muḥāḍarāt al-taḏkīriyyaẗ li-Ibn al-Hayṯam wa-taʿriḫ ḥayāẗ baʿḍ al-ʿulamāʾ al-miṣri): 34-44.
Gandz, Solomon. 1938. “The Algebra of Inheritance: A Rehabilitation of Al-Khuwārizmī”. Osiris 5: 319–391.
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Contains the edition of the geometric chapter of Kitāb al-Jabr wa-ʾl-Muqābala, with the English translation.
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Karpinski, Louis. 1911. “Robert of Chester’s Translation of the Algebra of Al-Khowarizmi”. Bibliotheca Mathematica, 3 Folge 11 (2): 125-31.
Bjørnbo, Axel. 1905. “Gerardo Von Cremona Übersetzung Von Alchwarizmis Algebra Und Von Euklids Elementen”. Bibliotheca Mathematica, 3 Folge 6: 239-48.
Rodet, Léon. 1878. “L’algèbre d’al-Khârizmi Et Les méthodes Indienne Et Grecque”. Journal Asiatique, 7e série 11: 5-100.
Marre, Aristide. 1865. “Le Messâhat De Mohammed Ben Moussa Al Khârezmi Extrait De Son Algèbre”. Annali Di Matematica Pura Ed Applicata 7: 269-80.
French translation of the geometrical chapter.
Libri, Guillaume. 1838. Histoire Des Sciences mathématiques En Italie: Depuis La Renaissance Des Lettres jusqu’à La Fin Du Dix-Septieme siècle. Vol. 1. 4 vol. Paris: J. Renouard et cie.
Latin translation of al-Kitāb al-muḫtaṣar fī ḥisāb al-jabr wa-ʾl-muqābala by Gerard of Cremona: pp. 253-97.
Rosen, Frederic. 1831. The Algebra of Mohammed Ben Musa. London: J.L. Cox.
Edition of the Oxford manuscript with English translation.