High Quality Content by WIKIPEDIA articles! Al-Kit b al-mukhta ar f
h s b al- abr wa'l-muq bala (Arabic for "The Compendious Book on
Calculation by Completion and Balancing," in Arabic script ' '),
also known under a shorter name spelled as Hisab al-jabr
w'al-muqabala, Kitab al-Jabr wa-l-Muqabala and other
transliterations) is a mathematical book written in Arabic, in
approximately AD 820 by the Persian mathematician, Muhammad ibn M s
al-Khw rizm .The term "algebra" is derived from the al- abr in the
title of this book, which is considered the foundational text of
modern algebra. The al- abr 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.
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