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Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wal-muqābala

820 CE · 9th century · Also known as al-Kitāb al-mukhtaṣar

Al-Kitab al-mukhtasar fi hisab al-jabr wal-muqabala, the Compendious Book on Calculation by Completion and Balancing, is a mathematical treatise by al-Khwarizmi written in Baghdad around 820 CE. It set out systematic methods for solving linear and quadratic equations, and the word algebra derives from al-jabr in its title. It is one of the best-known scientific achievements of the Abbasid Caliphate.

Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wal-muqābala
Image: Muḥammad ibn Musa al-Khwarizmi · Public domain · Wikimedia Commons

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Cite this entry
APA
The Epoch Institute. (2026). Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wal-muqābala. In The Epoch Institute Encyclopedia. https://the-epoch-institute.org/encyclopedia/al-kitab-al-mukhtasar-fi-hisab-al-jabr-wal-muqabala
MLA
“Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wal-muqābala.” The Epoch Institute Encyclopedia, The Epoch Institute, 2026, https://the-epoch-institute.org/encyclopedia/al-kitab-al-mukhtasar-fi-hisab-al-jabr-wal-muqabala. Accessed .
Chicago
The Epoch Institute. “Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wal-muqābala.” The Epoch Institute Encyclopedia. 2026. https://the-epoch-institute.org/encyclopedia/al-kitab-al-mukhtasar-fi-hisab-al-jabr-wal-muqabala.
Harvard
The Epoch Institute (2026) ‘Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wal-muqābala’, The Epoch Institute Encyclopedia. Available at: https://the-epoch-institute.org/encyclopedia/al-kitab-al-mukhtasar-fi-hisab-al-jabr-wal-muqabala (Accessed: ).

Last reviewed October 2026Random entry ↻