Araştırma Makalesi

Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr

Cilt: 2 Sayı: 5 1 Mayıs 1986
  • Jens Hoyrup *
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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

  1. 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.
  2. Baillet, J ., 1892. “ L e papyrus m athem atique d ’A khm îm ” , Mission Archeologique Française au Caire, Memoires g : 1 (Paris), 1-89.
  3. Baqir, Taha, 1951. “ Some More Mathematical Texts from Teli Harmal” , Sümer 7, 28-45.
  4. Bergh, Paul, 1886. “ Seiten - und D iam etralzahlen bei den G riechen” , Zeitschrift für Mathematik und Physik. Historisch - literarische Abtheilung 31, 135.
  5. 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-
  6. ,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.
  7. 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.
  8. 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

Kaynak Göster

APA
Hoyrup, J. (1986). Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr. Erdem, 2(5), 445-484. https://izlik.org/JA92KN94TU
AMA
1.Hoyrup J. Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr. Erdem. 1986;2(5):445-484. https://izlik.org/JA92KN94TU
Chicago
Hoyrup, Jens. 1986. “Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr”. Erdem 2 (5): 445-84. https://izlik.org/JA92KN94TU.
EndNote
Hoyrup J (01 Mayıs 1986) Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr. Erdem 2 5 445–484.
IEEE
[1]J. Hoyrup, “Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr”, Erdem, c. 2, sy 5, ss. 445–484, May. 1986, [çevrimiçi]. Erişim adresi: https://izlik.org/JA92KN94TU
ISNAD
Hoyrup, Jens. “Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr”. Erdem 2/5 (01 Mayıs 1986): 445-484. https://izlik.org/JA92KN94TU.
JAMA
1.Hoyrup J. Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr. Erdem. 1986;2:445–484.
MLA
Hoyrup, Jens. “Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr”. Erdem, c. 2, sy 5, Mayıs 1986, ss. 445-84, https://izlik.org/JA92KN94TU.
Vancouver
1.Jens Hoyrup. Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum : On the Origins of Islamic Algebr. Erdem [Internet]. 01 Mayıs 1986;2(5):445-84. Erişim adresi: https://izlik.org/JA92KN94TU

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