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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| Main Authors: | , , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edition: | 1st ed. 2025. |
| Series: | Sources and Studies in the History of Mathematics and Physical Sciences,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-031-89087-1 |
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Table of Contents:
- 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.