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Jamshīd al-Kāshī’sMiftāḥ al-Ḥisab(Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the third and final book in a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers,Miftahchanged some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture,Miftahcovers a wide range of...

Jamshid al-Kashi's Miftah al-Hisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. These three volumes finally bring al-Kashi's groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, Miftah changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By...