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The Reckoners’ Key

work by al-Kāshī

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The Reckoners' Key is a significant work by the 15th-century Islamic mathematician and astronomer Jamshīd al-Kāshī. This encyclopedic text summarizes the arithmetic of its time and also includes sections on algebra and practical geometry.12

Al-KāshÄ«'s work is known for its computational mastery. He calculated the value of 2Ļ€ to an impressive 16 decimal places of accuracy, a record that stood for nearly two centuries. He also applied a numerical method, now known as fixed-point iteration, to solve cubic equations. The Reckoners' Key was dedicated to UlÅ«gh Beg, the ruler of Samarkand, and was considered a work of world renown.21

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