國立虎尾科技大學 |

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	From Samarqand to Jaipur/ by 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:	Trigonometry - Problems, exercises, etc. -
電子資源:	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:

672255
Trigonometry
--Problems, exercises, etc.

LC Class. No.: QA33

Dewey Class. No.: 510.903

From Samarqand to Jaipur = evolving al-Kāshī's approximation to the sine of one degree /
LDR:02283nam a2200325 a 4500 001 1166941
003 DE-He213
005 20250712130221.0
006 m d
007 cr nn 008maaau
008 251217s2025 sz s 0 eng d
020 $a 9783031890871 $q (electronic bk.)
020 $a 9783031890864 $q (paper)
024 7 $a 10.1007/978-3-031-89087-1 $2 doi
035 $a 978-3-031-89087-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA33
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 510.903 $2 23
090 $a QA33 $b .M776 2025
100 1 $a Montelle, Clemency. $3 951217
245 1 0 $a From Samarqand to Jaipur $h [electronic resource] : $b evolving al-Kāshī's approximation to the sine of one degree / $c by Clemency Montelle, Kim Plofker, Glen Van Brummelen.
260 $a Cham : $c 2025. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a ix, 148 p. : $b ill. (chiefly col.), digital ; $c 24 cm.
490 1 $a Sources and studies in the history of mathematics and physical sciences, $x 2196-8829
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.
650 0 $a Trigonometry $v Problems, exercises, etc. $3 672255 $3 741279
650 0 $a Astronomy $x Mathematics $v Early works to 1800. $3 1495733
650 0 $a Hindu mathematics $v Early works to 1800. $3 1495734
650 1 4 $a History of Mathematical Sciences. $3 785417
650 2 4 $a Geometry. $3 579899
650 2 4 $a History of South Asia. $3 1104933
700 1 $a Plofker, Kim. $e author. $3 1279846
700 1 $a Van Brummelen, Glen. $3 1021394
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Sources and studies in the history of mathematics and physical sciences. $3 890835
856 4 0 $u https://doi.org/10.1007/978-3-031-89087-1
950 $a Mathematics and Statistics (SpringerNature-11649)