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

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

Author

University of Evansville, USA

Abstract

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^{\circ}.

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Main Subjects