From Samarqand to Jaipur Evolving al-Kāshī’s Approximation to the Sine of One Degree /
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 Indi...
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| 格式: | 電子 電子書 |
| 語言: | 英语 |
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| 版: | 1st ed. 2025. |
| 叢編: | Sources and Studies in the History of Mathematics and Physical Sciences,
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| 在線閱讀: | https://doi.org/10.1007/978-3-031-89087-1 |
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| 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. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (IX, 148 p. 26 illus.). |b 26 illus. in color. | ||
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| 490 | 1 | |a Sources and Studies in the History of Mathematics and Physical Sciences, |x 2196-8829 | |
| 505 | 0 | |a Introduction: The sine of 1◦ and its history -- Parallel editions and translations of the jyācāpa excerpt -- Mathematical notes on the jyācāpa excerpt -- Al-Bīrjandī and his predecessors on sine 1◦ approximations -- Sine 1◦ iteration in the Sanskrit tradition -- Discussion -- Appendix A. Anonymous Arabic treatise iteration calculations -- Bibliography. | |
| 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
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