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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6222| Title: | Nearest-Integer Continued Fractions in DÃkkaraõa |
| Authors: | PAI, VENKETESWARA R. Sriram, M. S. Dept. of Humanities and Social Sciences |
| Keywords: | Continued fractions DÃkkaraõa Karaõapaddhati Nearest-Integer 2021-AUG-WEEK5 TOC-AUG-2021 2019 |
| Issue Date: | Dec-2019 |
| Publisher: | Prints Publications Pvt Ltd |
| Citation: | Ganita Bharati: Bulletin of the Indian Society for History of Mathematics, 41(1-2). |
| Abstract: | The Karaõa texts of Indian astronomy give simplified expressions for the mean rates of motion of planets. The Kerala text Karaõapaddhati (c. 1532-1566 CE) expresses these rates which involve ratios of large numerators or multipliers (guõakras) and large demominators or divisors (hÀrakas), as ratios of smaller numbers using essentially the method of simple continued fraction expansion.A modified version of this method is described in a slightly later Malayalam text named DÃkkaraõa (c. 1608 CE), also. A very interesting feature of the DÃkkaraõa algorithm is that a nearest-integer continued fraction expansion with the minimal length is implicit in it. We discuss this algorithm in this paper. |
| URI: | https://doi.org/10.32381/GB.2019.41.1-2.3 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6222 |
| ISSN: | 0970-0307 |
| Appears in Collections: | JOURNAL ARTICLES |
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