{"product_id":"9789811068133","title":"Karaṇapaddhati of Putumana Somayājī","description":"This book is an important text of the Kerala school of astronomy and mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the \u003ci\u003ekaraṇa \u003c\/i\u003etexts are essentially computational manuals, and they often display a high level of ingenuity in coming up with simplified algorithms for computing planetary longitudes and other related quantities. \u003ci\u003eKaraṇapaddhati\u003c\/i\u003e, however, is not a \u003ci\u003ekaraṇa \u003c\/i\u003etext. Rather, it discusses the \u003ci\u003epaddhati\u003c\/i\u003e\u003ci\u003e \u003c\/i\u003eor the rationale for arriving at suitable algorithms that are needed while preparing a \u003ci\u003ekaraṇa \u003c\/i\u003etext for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker.\u003cdiv\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003c\/div\u003e\u003cdiv\u003e\n\u003ci\u003eKaraṇapaddhati \u003c\/i\u003epresents the theoretical basis for the \u003ci\u003evākya \u003c\/i\u003esystem, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the \u003ci\u003ekhaṇḍa\u003c\/i\u003e, \u003ci\u003emaṇḍala \u003c\/i\u003eand \u003ci\u003edhruva \u003c\/i\u003ealong with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form of \u003ci\u003evākyas \u003c\/i\u003eor mnemonic phrases. The text also discusses the method of \u003ci\u003evallyupasaṃhāra, \u003c\/i\u003ewhich is essentially a technique of continued fraction expansion for obtaining optimal approximations to the rates of motion of planets and their anomalies, involving ratios of smaller numbers. It also presents a new fast convergent series for π which is not mentioned in the earlier works of the Kerala school. As this is a unique text presenting the rationale behind the \u003ci\u003evākya \u003c\/i\u003esystem and the computational procedures used in the \u003ci\u003ekaraṇa \u003c\/i\u003etexts, it would serve as a useful companion for all those interested in the history of astronomy. The authors have provided a translation of the text followed by detailed notes which explain all the computational procedures, along with their rationale, by means of diagrams and equations.\u003c\/div\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2018\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer Singapore\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: H\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 910\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Venketeswara Pai","offers":[{"title":"Default Title","offer_id":41246472110258,"sku":"9789811068133","price":155.99,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/9811068135.01_SCLZZZZZZZ.jpg?v=1635648167","url":"https:\/\/readabook.store\/products\/9789811068133","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}