Title of article :
An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani]
Author/Authors :
Azarian, Mohammad K University of Evansville, Lincoln Avenue, 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°.
Keywords :
Ghiyath al-Dın Jamshıd al-Kashı , Jamshıd Kashanı , al-Risala al-muhıtıyya , Miftah al-hisab , Risala al-watar wa’l-jaib , al-Kashı’s fundamental theorem , Euclid’s Elements , Lambert identity , Ptolemy’s theorem , Pythagorean theorem , Pascal triangle , Ruffini-Horner’s method
