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Bhaskaracarya's Siddhantasiroma?i – Grahaga?ita with the Vasanabha?ya: Translation with Explanatory Notes: Volume 1: Madhyama, Spa??a, Triprasna

By (author) M.S. Sriram, By (author) Sita Sunder Ram, By (author) Venketeswara R. Pai

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The SiddhÄntaÅ›iromaá¹‡i was composed in 1150 CE by the celebrated mathematicianâ€“astronomer BhÄskarÄcÄrya. In the Grahagaá¹‡itÄdhyÄya part of it, most of the standard calculations and algorithms in Indian astronomy of his times are included. All these are explained in detail with commentary on the text, namely, the VÄsanÄbhÄá¹£ya or MitÄká¹£arÄ. This book is on this part only. All the 460 verses of this part have been translated afresh in this work. Now, it is in the VÄsanÄbhÄá¹£ya that the contents of the verses are expounded in detail. In addition, the detailed derivations and proofs of the statements and algorithms are presented in the upapattis. Study of the vÄsanÄ is indispensable for understanding the methodology of, in particular, and thereby, of Indian astronomers in general. The distinct scientific method of BhÄskara (indeed of the Indian astronomical tradition in general, of which he was a leading exponent), his approach to problems and the ways to solve them, can be understood only when one goes through the commentary and understands it. It is for this reason that the VÄsanÄbhÄá¹£ya has been translated into English for all the verses, for the first time. Explanatory notes based on the vÄsanÄ of BhÄskara have been provided for all the verses in modern notation, with a large number of diagrams to facilitate the understanding. The Â first Â volume Â of Â the book comprises Â the Â three Â chapters Â on Madhayama (Mean longitudes), Spaá¹£á¹a (True longitudes) and TripraÅ›na (the Â three problems) with Â about Â 300 Â verses. Scholars working in the Â area Â of Â history Â of Indian astronomy and mathematics will Â find Â the present Â work Â on Â this Â major text of Â BhÄskarÄcÄrya Â with Â his Â auto-commentary, very valuable . In fact, Â anyone with Â an undergraduate-level Â knowledge Â of mathematics and Â serious interest in Â Indian astronomy will Â find Â this work very Â useful Â for Â understanding the Â subject, as Â it Â is Â reasonably Â self-contained.