東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

From Samarqand to Jaipur = evolving ...

Montelle, Clemency.

FindBook

Google Book

Amazon

博客來

From Samarqand to Jaipur = evolving 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 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 - Early works to 1800. -
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:

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 /
LDR:02283nmm a2200325 a 4500 001 2413990
003 DE-He213
005 20250712130221.0
006 m d
007 cr nn 008maaau
008 260205s2025 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 1991258
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 : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
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 Early works to 1800. $3 3790422
650 0 $a Astronomy $x Mathematics $v Early works to 1800. $3 3790423
650 0 $a Hindu mathematics $v Early works to 1800. $3 3790424
650 1 4 $a History of Mathematical Sciences. $3 1530523
650 2 4 $a Geometry. $3 517251
650 2 4 $a History of South Asia. $3 2181979
700 1 $a Plofker, Kim. $3 3790421
700 1 $a Van Brummelen, Glen. $3 2056112
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Sources and studies in the history of mathematics and physical sciences. $3 740893
856 4 0 $u https://doi.org/10.1007/978-3-031-89087-1
950 $a Mathematics and Statistics (SpringerNature-11649)