Muḫtaṣar min ḥisāb al-jabr wa-al-muqābalaẗ

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	Abū ʿAbd Allāh Muḥammad ibn Mūsá al-Khwārizmī al-Majūsī
Language	Arabic
Subject	Algebra
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

Manuscript Witnesses

2 witnesses:

Mukhtaṣar min ḥisāb al-jabr wa-al-muqābalah_Medina_unknown repository is in Medina_Ḥikmat jabr_4

Mukhtaṣar min ḥisāb al-jabr wa-al-muqābalah_Oxford_Bodleian Library, Oxford Univ._Huntington_214

Literature References

Rozenfeld, Boris, and Ekmeleddin İhsanoğlu. 2003. Mathematicians, Astronomers And Other Scholars Of Islamic Civilisation And Their Works (7Th-19Th C.). Istanbul: Research Centre for Islamic History, Art, and Culture.

P. 22 (no.41), M3.

Dānishpazhūh, Muḥammad-Taqī. 1984. “Jabr-I Ḫwārazmī”. In Yādnāmah-Yi Muḥammad Ibn Mūsỳ Ḫwārazmī, 55-64. Tehran: Muʾassasah-yi Muṭālaʿāt wa Taḥqīqāt-i Farhangī.

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, 144-148. Tashkent.

Economic problems in chapters 16-22.

Simon, Max. 1911. “Zu Hwarizmi's Hisab Al Ḡabr Wal Muqabala”. Archiv Der Mathematik Und Physik (3. Reihe) 18: 202-203.

Rozenfeld, Boris, P.G. Bulgakov, and A.A. Ahmedov. 1983. Muhammad Al-Khorezmi. Ok. 783 - Ok. 850. Moscow.

Pp. 77-113.

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.

Ahmedov, A.A. 1983. Muhammad Ibn Musa Khorezmiy. Tanlangan Asarlar: Matematika, Astronomiya, Geografia. Tashkent.

Uzbek translation by Ahmedov, pp. 75-138; research, pp. 5-56.

Rosen, Frederic. 1831. The Algebra Of Mohammed Ben Musa. London: J.L. Cox.

Edition of the Oxford manuscript with English translation.

Ḫwārizmī, Muḥammad. 1968. “Kitāb Al-Jabr Wa-ʾL-Muqābala”. In , eds. ʿAlī Mušarrafa and Aḥmad, Muḥammad. Cairo.

Edition of the Oxford manuscript.

Gandz, Solomon. 1932. The Mishnat Ha Middot, The First Hebrew Geometry Of About 150 C.e. And The Geometry Of Muhammad Ibn Musa Al-Khowarizmi, The First Arabic Geometry (C. 820), Representing The Arabic Version Of The Mishnat Ha Middot. Quellen Und Studien Zur Geschichte Der Mathematik, Astronomie Und Physik; Abt. A, Quellen. Vol. 2. Berlin: Springer.

Contains the edition of the geometric chapter of Kitāb al-Jabr wa-ʾl-Muqābala, with the English translation.

Marre, Aristide. 1865. “Le Messâhat De Mohammed Ben Moussa Al Khârezmi Extrait De Son Algèbre”. Annali Di Matematica Pura Ed Applicata 7: 269-280.

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.

Hughes, Barnabas. 1986. “Gerard Of Cremona's Translation Of Al-Khwarizmi's "Al-Jabbr": A Critical Edition”. Mediaeval Studies 48: 211-263.

Karpinski, Louis. 1911. “Robert Of Chester's Translation Of The Algebra Of Al-Khowarizmi”. Bibliotheca Mathematica, 3 Folge 11 (2): 125-131.

Karpinski, Louis. 1915. Robert Of Chester's Latin Translation Of The Algebra Of Al-Khowarizmi, With An Introduction, Critical Notes And An English Version. Contributions To The History Of Science, By Louis Charles Karpinski And John Garret Winter . New York: Macmillan.

Khojiyev, I. 1984. Muhammad Ibni Musa Khorezmi, Risolai Jabru Muqobala Wa Kitob-Ul-Vasoye. Dushanbe.

Tajiki translation.

Grant, Edward. 1974. A Source Book In Medieval Science. Cambridge; Massachusetts : Harvard University Press.

English translation of the chapter on equations, pp. 106-111.

Bjørnbo, Axel. 1905. “Gerardo Von Cremona Übersetzung Von Alchwarizmis Algebra Und Von Euklids Elementen”. Bibliotheca Mathematica, 3 Folge 6: 239-248.

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 Youschkevitch, Adolf, 109-115. Moscow: Nauka.

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 Saliba, George, 71-87. New York: New York Academy of Sciences.

Gandz, Solomon. 1938. “The Algebra Of Inheritance: A Rehabilitation Of Al-Khuwārizmī”. Osiris 5: 319–391.

Gandz, Solomon. 1937. “The Origin And Development Of The Quadratic Equations In Babylonian, Greek, And Early Arabic Algebra”. Osiris 3: 405–557.

Gandz, Solomon. 1936. “The Sources Of Al-Khowārizmī's Algebra”. Osiris 1: 263–277.

Maracchia, Silvio. 1977. “Equazioni Di Secondo Grado In Mohammed Ben Musa Al-Khuwarizmi”. Archimede 29: 244-250.

Rodet, Léon. 1878. “L'algèbre D'al-Khârizmi Et Les Méthodes Indienne Et Grecque”. Journal Asiatique, 7E Série 11: 5-100.

Rashed, Roshdi. 1983. “Ideya Algebry Po Al-Khorezmi”. In Muhammad Ibn Musa Al-Khorezmi. K 1200-Letiyu So Dnya Rozhdeniya, eds. Boris Rozenfeld and Youschkevitch, Adolf, 95-108. Moscow: Nauka.

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): 107-147.

Rashed, Roshdi. 1984. Entre Arithmétique Et Algèbre: Recherches Sur L'histoire Des Mathématiques Arabes. Paris: Société d'édition Les Belles lettres.

Reprints of articles: "L'idée de l'algèbre selon al-Khwarizmi," pp. 17-29; "Nombres amiables, parties aliquotes et nombres figurés aux XIII ème et XIV ème siècles," pp. 259-99.

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.