An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani]

Document Type: Special Issue: International Conference on Architecture and Mathematics


University of Evansville, 1800 Lincoln Avenue, Evansville, IN 47722 USA


In this paper, we study Ghiyath al-Din Jamshid al-Kashi's (1380-1429 A.D.) main mathematical achievements. We discuss his al-Risala al-muhitiyya ("The Treatise on the Circumference"), Risala al-watar wa'l-jaib ("The Treatise on the Chord and Sine"), and Miftah al-hisab ("The Key of Arithmetic"). In particular, we look at al-Kashi's fundamental theorem, his calculation of pi, and his calculation of sin1°.


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