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From Samarqand to Jaipur = evolving ...

Montelle, Clemency.

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From Samarqand to Jaipur = evolving al-Kāshī's approximation to the sine of one degree /

Record Type:	Electronic resources : Monograph/item
Title/Author:	From Samarqand to Jaipur/ by Clemency Montelle, Kim Plofker, Glen Van Brummelen.
Reminder of title:	evolving al-Kāshī's approximation to the sine of one degree /
Author:	Montelle, Clemency.
other author:	Plofker, Kim.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	ix, 148 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Trigonometry - Early works to 1800. -
Online resource:	https://doi.org/10.1007/978-3-031-89087-1
ISBN:	9783031890871

From Samarqand to Jaipur = evolving al-Kāshī's approximation to the sine of one degree /
Montelle, Clemency.

From Samarqand to Jaipurevolving al-Kāshī's approximation to the sine of one degree /[electronic resource] :by Clemency Montelle, Kim Plofker, Glen Van Brummelen. - Cham :Springer Nature Switzerland :2025. - ix, 148 p. :ill. (chiefly col.), digital ;24 cm. - Sources and studies in the history of mathematics and physical sciences,2196-8829. - Sources and studies in the history of mathematics and physical sciences..

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. This book contains translations and editions of two recensions of the manuscript's surviving prose texts, along with analyses of its mathematical content. The authors also trace the textual history of the mathematical methods in both Islamic and Sanskrit mathematical traditions. Of timely interest to scholars in the history of early modern Islamic and Indian mathematical sciences, this book contributes an important text to the literature on the interactions between these cultures.

ISBN: 9783031890871

Standard No.: 10.1007/978-3-031-89087-1doiSubjects--Topical Terms:

3790422
Trigonometry
--Early works to 1800.

LC Class. No.: QA33

Dewey Class. No.: 510.903

From Samarqand to Jaipur = evolving al-Kāshī's approximation to the sine of one degree /
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520 $a 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. This book contains translations and editions of two recensions of the manuscript's surviving prose texts, along with analyses of its mathematical content. The authors also trace the textual history of the mathematical methods in both Islamic and Sanskrit mathematical traditions. Of timely interest to scholars in the history of early modern Islamic and Indian mathematical sciences, this book contributes an important text to the literature on the interactions between these cultures.
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