{"product_id":"9789811068133","title":"Sources and Studies in the History of Mathematics and Physical Sciences","description":"\u003ch1\u003eSources and Studies in the History of Mathematics and Physical Sciences\u003c\/h1\u003e \u003ch2\u003ePai, Venketeswara; Ramasubramanian, K.; Sriram, M.S.; Srinivas, M.D.\u003c\/h2\u003e \u003cp\u003eThis 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.\u003c\/p\u003e\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-03-23\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9789811068133\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-981-10-6814-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 450\u003c\/p\u003e ","brand":"Springer Nature Singapore","offers":[{"title":"Default Title","offer_id":44450534949004,"sku":"9789811068133","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789811068133.jpg?v=1775739296","url":"https:\/\/lateknightbooks.com\/products\/9789811068133","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}