The Compendious Book on Calculation by Completion and Balancing

The Compendious Book on Calculation by Completion and Balancing (Arabic: ٱلْكِتَاب ٱلْمُخْتَصَر فِي حِسَاب ٱلْجَبْر وَٱلْمُقَابَلَة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; Latin: Liber Algebræ et Almucabola), also known as Al-Jabr (ٱلْجَبْر), is a mathematical book on algebra written by Muḥammad ibn Mūsā al-Khwārizmī around 820 CE. Al-Jabr was important in the history of mathematics, the term "algebra" itself derived from Al-Jabr.

title page in Arabic writing and calligraphy; hand-drawn ornamental frame; parchment is gilded and stained from age
title page, 9th century
AuthorMuhammad ibn Musa al-Khwarizmi
Original titleكتاب المختصر في حساب الجبر والمقابلة
CountryAbbasid Caliphate
LanguageArabic
SubjectAlgebra
Original text
كتاب المختصر في حساب الجبر والمقابلة at Script error: The function "name_from_code" does not exist. Wikisource

Area and volume

The book show ways of finding area and volume. These include approximations of pi (π), as 3 1/7, √10, and 62832/20000. This latter approximation, this equals 3.1416, which appeared in Āryabhaṭīya (499 CE).[1]

The Compendious Book On Calculation By Completion And Balancing Media

References

  1. B.L. van der Waerden, A History of Algebra: From al-Khwārizmī to Emmy Noether; Berlin: Springer-Verlag, 1985. ISBN 3-540-13610-X