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From Samarqand to Jaipurevolving al-Kāshī's approximation to the sine of one degree /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	From Samarqand to Jaipurby Clemency Montelle, Kim Plofker, Glen Van Brummelen.
其他題名:	evolving al-Kāshī's approximation to the sine of one degree /
作者:	Montelle, Clemency.
其他作者:	Plofker, Kim.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	ix, 148 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	TrigonometryProblems, exercises, etc.
電子資源:	https://doi.org/10.1007/978-3-031-89087-1
ISBN:	9783031890871$q(electronic bk.)

From Samarqand to Jaipurevolving 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$q(electronic bk.)

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

397307
Trigonometry
--Problems, exercises, etc.

LC Class. No.: QA33

Dewey Class. No.: 510.903

From Samarqand to Jaipurevolving al-Kāshī's approximation to the sine of one degree /
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