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Al-Jabr — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Al-Jabr
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T22:15:01.944Z
SHA-256 of the archived text: 2c440ed6bbcc327102bf902f4e99171cd758bfdd653d3bbd77125d687f7e563e
Stable URL of this page: https://metraipolis.com/documento/dc_145cd73f4ff0

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Al-Jabr — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Al-Jabr (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_145cd73f4ff0 (Metraipolis archive dc_145cd73f4ff0, sha256 2c440ed6bbcc327102bf902f4e99171cd758bfdd653d3bbd77125d687f7e563e)

BibTeX

@misc{dc145cd73f4ff0,
  title = {Al-Jabr — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Al-Jabr},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_145cd73f4ff0; sha256 2c440ed6bbcc327102bf902f4e99171cd758bfdd653d3bbd77125d687f7e563e},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Al-Jabr. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The Concise Book of Calculation by Restoration and Balancing (Arabic: الكتاب المختصر في حساب الجبر والمقابلة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; or Latin: Liber Algebræ et Almucabola), commonly abbreviated Al-Jabr or Algebra (Arabic: الجبر), is an Arabic-language mathematical treatise on algebra written in Baghdad around 820 by Al-Khwarizmi. It was a landmark work in the history of mathematics, with its title being the ultimate etymology of the word "algebra" itself, later borrowed into Medieval Latin as algebrāica. Al-Jabr provided an exhaustive account of solving for the positive roots of polynomial equations up to the second degree. It was the first text to teach elementary algebra, and the first to teach algebra for its own sake. It also introduced the fundamental concept of "reduction" and "balancing" (which the term al-jabr originally referred to), the transposition of subtracted terms to the other side of an equation, i.e. the cancellation of like terms on opposite sides of the equation. The mathematics historian Victor J. Katz regards Al-Jabr as the first true algebra text that is still extant. Translated into Latin by Robert of Chester in 1145, it was used until the sixteenth century as the principal mathematical textbook of European universities. Several authors have also published texts under this name, including Abu Hanifa Dinawari, Abu Kamil, Abū Muḥammad al-ʿAdlī, Abū Yūsuf al-Miṣṣīṣī, 'Abd al-Hamīd ibn Turk, Sind ibn ʿAlī, Sahl ibn Bišr, and Šarafaddīn al-Ṭūsī.

Tema degli esploratori: storia e filosofia della scienza (deposito sistematico; ricerca «history of mathematics»).
Fonte: Wikipedia in inglese, voce «Al-Jabr» — https://en.wikipedia.org/wiki/Al-Jabr
Wikidata Q8369 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q8369
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Al-Jabr?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1368647525, consultata il 2026-10-07T21:56:12.617Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: ef257b2892bb2a121af947b832c990068e5f5917e171d3505377b9714e8cd367