{"title":"Samgamagrāma Mādhava：最新传记","authors":"V. N. Krishnachandran","doi":"arxiv-2408.12096","DOIUrl":null,"url":null,"abstract":"This paper presents an updated biography of Samgamagr\\=ama M\\=adhava\nincorporating viewpoints expounded by scholars in the recent past and\ncollecting together in one place more details about his works culled from\nrecent researches into his contributions to mathematics and astronomy. One\nmajor updation is with regard to the geographical location in Kerala where\nM\\=adhava flourished. Other updations include observations on M\\=adhava's\nalgorithm to compute the numerical values of the sine and cosine functions and\non his value of the mathematical constant $\\pi$.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"49 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Samgamagrāma Mādhava: An Updated Biography\",\"authors\":\"V. N. Krishnachandran\",\"doi\":\"arxiv-2408.12096\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents an updated biography of Samgamagr\\\\=ama M\\\\=adhava\\nincorporating viewpoints expounded by scholars in the recent past and\\ncollecting together in one place more details about his works culled from\\nrecent researches into his contributions to mathematics and astronomy. One\\nmajor updation is with regard to the geographical location in Kerala where\\nM\\\\=adhava flourished. Other updations include observations on M\\\\=adhava's\\nalgorithm to compute the numerical values of the sine and cosine functions and\\non his value of the mathematical constant $\\\\pi$.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"49 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - History and Overview\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.12096\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.12096","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper presents an updated biography of Samgamagr\=ama M\=adhava
incorporating viewpoints expounded by scholars in the recent past and
collecting together in one place more details about his works culled from
recent researches into his contributions to mathematics and astronomy. One
major updation is with regard to the geographical location in Kerala where
M\=adhava flourished. Other updations include observations on M\=adhava's
algorithm to compute the numerical values of the sine and cosine functions and
on his value of the mathematical constant $\pi$.
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