The Compendious Book on Calculation by Completion and Balancing
The Compendious Book on Calculation by Completion and Balancing (Arabic: كتاب المختصر في حساب الجبر والمقابلة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; Latin: Liber Algebræ et Almucabola), also known as Al-Jabr (الجبر), is an Arabic mathematical treatise on algebra written by the polymath Muḥammad ibn Mūsā al-Khwārizmī around 820 CE while he was in the Abbasid capital of Baghdad, modern-day Iraq. Al-Jabr was a landmark work in the history of mathematics, establishing algebra as an independent discipline, and with the term "algebra" itself derived from Al-Jabr.
- Alt
- entitle page in Arabic writing and calligraphy; hand-drawn ornamental frame; parchment is gilded and stained from age
- Author
- enMuhammad ibn Musa al-Khwarizmi
- Caption
- enTitle page, 9th century
- Comment
- enThe Compendious Book on Calculation by Completion and Balancing (Arabic: كتاب المختصر في حساب الجبر والمقابلة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; Latin: Liber Algebræ et Almucabola), also known as Al-Jabr (الجبر), is an Arabic mathematical treatise on algebra written by the polymath Muḥammad ibn Mūsā al-Khwārizmī around 820 CE while he was in the Abbasid capital of Baghdad, modern-day Iraq. Al-Jabr was a landmark work in the history of mathematics, establishing algebra as an independent discipline, and with the term "algebra" itself derived from Al-Jabr.
- Country
- Abbasid Caliphate
- Country
- Abbasid Caliphate
- Depiction
- Genre
- Mathematics
- Has abstract
- enThe Compendious Book on Calculation by Completion and Balancing (Arabic: كتاب المختصر في حساب الجبر والمقابلة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; Latin: Liber Algebræ et Almucabola), also known as Al-Jabr (الجبر), is an Arabic mathematical treatise on algebra written by the polymath Muḥammad ibn Mūsā al-Khwārizmī around 820 CE while he was in the Abbasid capital of Baghdad, modern-day Iraq. Al-Jabr was a landmark work in the history of mathematics, establishing algebra as an independent discipline, and with the term "algebra" itself derived from Al-Jabr. The Compendious Book 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 algebra in an elementary form and 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. 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 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.
- Hypernym
- Treatise
- Illustrator
- enMuhammad ibn Musa al-Khwarizmi
- Is primary topic of
- The Compendious Book on Calculation by Completion and Balancing
- Label
- enThe Compendious Book on Calculation by Completion and Balancing
- Language
- enArabic
- Link from a Wikipage to an external page
- archive.org/details/algebraofmohamme00khuwrich
- www-history.mcs.st-andrews.ac.uk/Mathematicians/Al-Khwarizmi.html
- www.muslimheritage.com/topics/default.cfm%3FArticleID=637
- archive.org/details/historyofmathema00boye
- www.wilbourhall.org/index.html%23algebra
- www.uni-due.de/imperia/md/content/didmath/ag_jahnke/musa.pdf
- Link from a Wikipage to another Wikipage
- 'Abd al-Hamīd ibn Turk
- Abbasid Caliphate
- Abū Kāmil Shujā ibn Aslam
- Al-Dinawari
- Algebra
- Al-Khwārizmī
- Arabic mathematics
- Area
- Arithmetica
- Āryabhaṭīya
- Babylonian mathematics
- Baghdad
- Brahmagupta
- Category:9th-century Arabic books
- Category:History of algebra
- Category:Mathematical works of the medieval Islamic world
- Category:Mathematics textbooks
- Category:Scientific works of the Abbasid Caliphate
- Diophantus
- Elementary algebra
- Expository writing
- File:Bodleian MS. Huntington 214 roll332 frame36.jpg
- History of algebra
- History of mathematics
- Internet Archive
- Iraq
- Irrational number
- Islamic inheritance jurisprudence
- Jewish calendar
- Latin
- MacTutor History of Mathematics archive
- Mathematical problem
- Mathematics
- Metonic cycle
- Muḥammad ibn Mūsā al-Khwārizmī
- Pi
- Polynomial equations
- Quadratic equation
- Rational numbers
- Robert of Chester
- Romanization of Arabic
- Root of a function
- Sharaf al-Dīn al-Tūsī
- University of Duisburg-Essen
- Victor J. Katz
- Volume
- LiteraryGenre
- Mathematics
- Name
- NativeWikisource
- enar:الكتاب المختصر في حساب الجبر والمقابلة
- NonFictionSubject
- Algebra
- OrigLangCode
- enar
- SameAs
- 1087997496
- 1088047467
- 197239663
- 4216169-1
- 4zhQ9
- Abrégé du calcul par la restauration et la comparaison
- Al-Jabr val-Muqobala
- Al-Kitab al-Jabr wa-l-Muqabala
- Buku Ringkasan pada Pengiraan dengan Penyelesaian dan Keseimbangan
- Compendi de càlcul per reintegració i comparació
- Compendio de cálculo por reintegración y comparación
- Hisab al-dschabr wa-l-muqabala
- Livro da Restauração e do Balanceamento
- m.04 1k1
- Pirtûka puxteyê li ser hesaba cebîr û beramberiyê (pirtûk)
- Q8369
- The Compendious Book on Calculation by Completion and Balancing
- Алҷабр-ва-л-муқобала
- Китаб аль-джебр ва-ль-мукабала
- Кітаб аль-джебр ва-ль-мукабала
- Әл-Жәбр уә-л-мұқабала
- الجبر والمقابله
- الکتاب المختصر فی حساب الجبر والمقابلۃ
- الکتاب المختصر فی حساب الجبر والمقابلۃ
- جەبر و موقابەلە
- كتاب المختصر في حساب الجبر والمقابلة
- किताब-अल-जबर-वल-मुक़ाबला
- 代数学 (花拉子米)
- Subject
- enAlgebra
- Subject
- Category:9th-century Arabic books
- Category:History of algebra
- Category:Mathematical works of the medieval Islamic world
- Category:Mathematics textbooks
- Category:Scientific works of the Abbasid Caliphate
- Thumbnail
- TitleOrig
- WasDerivedFrom
- The Compendious Book on Calculation by Completion and Balancing?oldid=1124908730&ns=0
- WikiPageLength
- 15975
- Wikipage page ID
- 1406909
- Wikipage revision ID
- 1124908730
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