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The book was translated into Latin in the mid 12th century under the title Liber Algebrae et Almucabola. Today's term "algebra" is derived from the term al-jabr, or al-ğabr, in the title of this book. The book is considered a foundational text in the history of the development of algebra. The al-ğabr provided an exhaustive account of solving for the positive roots of polynomial equations up to the second degree, and introduced the fundamental methods of "reduction" and "balancing", referring to the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation. The "novelty of Al-Khwarizmi lies in his extremely systematic treatment, aiming at a general classification of linear and quadratic equations, and at gen

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  • Al-Jabr
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  • The book was translated into Latin in the mid 12th century under the title Liber Algebrae et Almucabola. Today's term "algebra" is derived from the term al-jabr, or al-ğabr, in the title of this book. The book is considered a foundational text in the history of the development of algebra. The al-ğabr provided an exhaustive account of solving for the positive roots of polynomial equations up to the second degree, and introduced the fundamental methods of "reduction" and "balancing", referring to the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation. The "novelty of Al-Khwarizmi lies in his extremely systematic treatment, aiming at a general classification of linear and quadratic equations, and at gen
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abstract
  • The book was translated into Latin in the mid 12th century under the title Liber Algebrae et Almucabola. Today's term "algebra" is derived from the term al-jabr, or al-ğabr, in the title of this book. The book is considered a foundational text in the history of the development of algebra. The al-ğabr provided an exhaustive account of solving for the positive roots of polynomial equations up to the second degree, and introduced the fundamental methods of "reduction" and "balancing", referring to the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation. The "novelty of Al-Khwarizmi lies in his extremely systematic treatment, aiming at a general classification of linear and quadratic equations, and at general methods of solving them which are established with proofs." [1] Several authors have also published texts under the name of Kitāb al-ğabr wa-l-muqābala, including Abū Ḥanīfa al-Dīnawarī, Abū Kāmil Shujā ibn Aslam, Abū Muḥammad al-ʿAdlī, Abū Yūsuf al-Miṣṣīṣī, 'Abd al-Hamīd ibn Turk, Sind ibn ʿAlī, Sahl ibn Bišr, and Šarafaddīn al-Ṭūsī.
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