LEADER 04552nam 22005535 450 001 9910350247803321 005 20200703082745.0 010 $a981-13-6034-0 024 7 $a10.1007/978-981-13-6034-3 035 $a(CKB)4100000008525798 035 $a(DE-He213)978-981-13-6034-3 035 $a(MiAaPQ)EBC5755000 035 $a(PPN)235666335 035 $a(EXLCZ)994100000008525798 100 $a20190416d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBh?skara-prabh? /$fedited by K. Ramasubramanian, Takao Hayashi, Clemency Montelle 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (XXXVI, 444 p.) 225 1 $aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8810 311 $a981-13-6033-2 327 $aChapter 1. Ca?gadeva?s inscription of 1207 -- Chapter 2. The legend of L?l?vat? -- Chapter 3. The poetical face of the mathematical and astronomical works of Bh?skar?c?rya -- Chapter 4. The l?l? of the L?l?vat? -- Chapter 5. Ga?e?a Daivajña?s upapattis for some rules in the L?l?vat? -- Chapter 6. A study of two Malayalam commentaries on the L?l?vat? -- Chapter 7. Mensuration of quadrilaterals in the L?l?vat? -- Chapter 8. A?kap??a in the L?l?vat? -- Chapter 9. The B?jaga?ita of Bh?skar?c?rya: Some highlights -- Chapter 10. A critical study of algorithms in the Kara???a?vidham -- Chapter 11. Grahaga?it?dhy?ya of Bh?skar?c?rya?s Siddh?nta?iroma?i -- Chapter 12. Bh?skar?c?rya and K?ayam?sa -- Chapter 13. The V?san?bh??yas of Bh?skar?c?rya -- Chapter 14. The production of Sines: Bh?skar?c?rya?s Jyotpatti -- Chapter 15. An application of the addition and subtraction formula for the Sine in Indian astronomy -- Chapter 16. Astronomical instruments in Bh?skar?c?rya?s Siddh?nta?iroma?i -- Chapter 17. Bhojar?j? and Bh?skara: Precursors of Kara?akut?hala algebraic approximation formulas in the R?jam?g??ka -- Chapter 18. Persian translations of Bh?skara?s Sanskrit texts and their impact in the following centuries -- Chapter 19. The use of Bh?tasa?khy?s in the L?l?vat? of Bh?skar?c?rya -- Chapter 20. Implications of Bh?skar?c?rya?s L?l?vat? to the Common Core State Standards in Mathematics. 330 $aThis book covers the works of Bh?skara, in particular, his monumental treatise on astronomy, the Siddh?nta?iroma?i, his astronomical handbook, the Kara?akut?hala, and his two mathematical treatises, the L?lavat? and the B?jaga?ita, on arithmetic and algebra, respectively. It is a collection of selected papers presented at Bh?skara 900, an international conference commemorate the 900th birth anniversary of the great Indian mathematician Bh?skar?c?rya. Bh?skara-prabh?, the radiance of Bh?skara, presents the Indian mathematical tradition and the place of Bh?skara in it. The aim of this book is to instill a sense of pride in younger generations of one of their most celebrated thinkers, by sketching some details of his mathematical achievements and capturing their imagination through his poetic flair. It is intended to raise a greater awareness among students and teachers of India?s rich mathematical heritage. . 410 0$aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8810 606 $aMathematics 606 $aHistory 606 $aObservations, Astronomical 606 $aAstronomy?Observations 606 $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009 606 $aAstronomy, Observations and Techniques$3https://scigraph.springernature.com/ontologies/product-market-codes/P22014 615 0$aMathematics. 615 0$aHistory. 615 0$aObservations, Astronomical. 615 0$aAstronomy?Observations. 615 14$aHistory of Mathematical Sciences. 615 24$aAstronomy, Observations and Techniques. 676 $a510.9 702 $aRamasubramanian$b K$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHayashi$b Takao$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMontelle$b Clemency$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910350247803321 996 $aBh?skara-prabh?$91733847 997 $aUNINA