Al-Kitab Al-Muqtasar Fi Hisab Al-Jabar Wal Muqabala
The Compendious Book on Calculation by Completion and Balancing
Book • 820
Written around 820 AD, this book is considered the foundational text of modern algebra.
It provides an exhaustive account of solving for the positive roots of polynomial equations up to the second degree and introduces the fundamental methods of 'reduction' and 'balancing'.
These methods involve the transposition of subtracted terms to the other side of an equation, essentially the cancellation of like terms on opposite sides.
The book also includes sections on calculating areas and volumes of geometric figures and solving inheritance problems according to Islamic law.
Its systematic and demonstrative approach distinguishes it from earlier treatments of the subject and has had a profound impact on the development of mathematics in Europe and beyond.
It provides an exhaustive account of solving for the positive roots of polynomial equations up to the second degree and introduces the fundamental methods of 'reduction' and 'balancing'.
These methods involve the transposition of subtracted terms to the other side of an equation, essentially the cancellation of like terms on opposite sides.
The book also includes sections on calculating areas and volumes of geometric figures and solving inheritance problems according to Islamic law.
Its systematic and demonstrative approach distinguishes it from earlier treatments of the subject and has had a profound impact on the development of mathematics in Europe and beyond.
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