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From Samarqand to Jaipur: Evolving Al-Kāshī's Approximation to the Sine of One Degree

From Samarqand to Jaipur: Evolving Al-Kāshī's Approximation to the Sine of One Degree

Hardcover

Series: Sources and Studies in the History of Mathematics and Physic

General MathematicsGeometryIndian & South Asian History

Currently unavailable to order

ISBN10: 3031890868
ISBN13: 9783031890864
Publisher: Springer
Published: Jul 13 2025
Pages: 148
Weight: 1.35
Height: 0.70 Width: 8.10 Depth: 10.60
Language: English
Calculating the sine of one degree, not possible with the tools of geometry alone, was a problem approached frequently in various ways in Hellenistic, Arabic, Persian, and European trigonometry. This book situates the problem and the iterative techniques often used to solve it in the context of Indian trigonometry, focusing on the Sanskrit text and manuscript that form the main subject of this study: the jyācāpa section of the Siddhāntakaustubha of Jagannātha. This text describes the approaches of Jamshīd al-Kāshī and Ulugh Beg of 15th-century Samarqand, and also includes innovations produced by astronomers of Jai Singh's court in Jaipur.

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General Mathematics