The Compendious Book on Calculation by Completion and Balancing (Paperback)

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.