Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr
Öz
A close investigation o f O ld Babylonian second-degree algebra shows that its method and conceptualization are not arithm etical and rhetorical, as is grosso modo the al-jabr presented by A l-K hw ârizm î. Instead, it appears to be based on a “ naive” geom etry o f areas very similar to that used by lbn T urk and A l-K hw ârizm î in their justifications o f the algorithms used in al-jabr to solve the basic mixed second-degree equations. This raises in a new light the question whether the early Islam ic use o f geometric justifications was a graft o f Greek methods
upon a “ sub-scientific” m athem atical tradition, as often maintained, or the relation o f early Islam ic algebra to its sources must be seen differently.
Anahtar Kelimeler
Kaynakça
- Anbouba, A del, 1978. “ Acquisition de l ’algebre par les Arabes et premiers developpements. A perçu general” , Journal for the History o f Arabic Science 2, 66-100.
- Baillet, J ., 1892. “ L e papyrus m athem atique d ’A khm îm ” , Mission Archeologique Française au Caire, Memoires g : 1 (Paris), 1-89.
- Baqir, Taha, 1951. “ Some More Mathematical Texts from Teli Harmal” , Sümer 7, 28-45.
- Bergh, Paul, 1886. “ Seiten - und D iam etralzahlen bei den G riechen” , Zeitschrift für Mathematik und Physik. Historisch - literarische Abtheilung 31, 135.
- Boncompagni, Baldassare, 1851. “ D ella vita e delle öpere di G herardo cremonese, traduttore del secolo duodecim o, e di G herardo da Sabionetta astronomo del secolo decim oterzo” , Atti delVAccademia pontificia de’ Nuovi Lincei 4. (1850-51), 387-493-
- ,Boncom pagni, Baldassare, ed., 1862. Şeritti di Leonardo Pisano. II. Leonardi Pisani Practica geometriae ed Opusculi, R om a: T ip o grafia delle Scienze M atem atiche e Fisiche.
- Busard, H .L .L ., 1968. “ L ’algebre au moyen âge: Le ‘Liber m ensurationum’ d ’A bû Bekr” , Journal des Savants, Avril-Juin 1968, 65-125.
- Busard, H .L .L ., ed., 1983. The First Latin Translation of Emlide Elements Commonly Ascribed to Adelard of Bath. (Studies and Texts, 64). Toronto : Pontifical Institute o f M edieval Studies.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Jens Hoyrup
*
Bu kişi benim
Yayımlanma Tarihi
1 Mayıs 1986
Gönderilme Tarihi
23 Ocak 1986
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 1986 Cilt: 2 Sayı: 5