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''The Compendious Book on Calculation by Completion and Balancing'' ((アラビア語:الكتاب المختصر في حساب الجبر والمقابلة), ''(unicode:Al-kitāb al-mukhtaṣar fī ḥisāb al-ğabr wa’l-muqābala)''; (ラテン語:Liber Algebræ et Almucabola)) is an Arabic treatise on mathematics written by Muḥammad ibn Mūsā al-Khwārizmī around AD 820 while he was in the Abbasid capital of Baghdad. Translated into Latin by Robert of Chester in the mid-12th century, it introduced the term "algebra" (, ''al-ğabr'') to European languages including English. The ''Compendious Book'' provided an exhaustive account of solving for the positive roots of polynomial equations up to the second degree.〔 〕 Several authors have also published texts under this name, including (unicode:Abū Ḥanīfa al-Dīnawarī, Abū Kāmil Shujā ibn Aslam,〔''Rasāla fi l-ğabr wa-l-muqābala''〕 Abū Muḥammad al-ʿAdlī, Abū Yūsuf al-Miṣṣīṣī, 'Abd al-Hamīd ibn Turk, Sind ibn ʿAlī, Sahl ibn Bišr,〔Possibly.〕 and Šarafaddīn al-Ṭūsī). ==Legacy== R. Rashed and Angela Armstrong write: J. J. O'Connor and E. F. Robertson wrote in the ''MacTutor History of Mathematics archive'': 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「The Compendious Book on Calculation by Completion and Balancing」の詳細全文を読む スポンサード リンク
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