Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 karana texts 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. Karanapaddhati, however, is not a karana text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karana text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker.Karanapaddhati presents the theoretical basis for the vakya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khanda, mandala and dhruvaalong with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form ofvakyas or mnemonic phrases. The text also discusses the method of vallyupasa hara,which 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 pi which is not mentioned in the earlier works of the Kerala school. As this is a unique text presenting the rationale behind the vakya system and the computational procedures used in the karana texts, 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. 500 pp. Englisch. N� de r�f. du vendeur 9789811338960

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Karanapaddhati of Putumana Somayaji

Pai, Venketeswara; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D.

Edit� par Springer (2018)

ISBN 10 : 9811338965 ISBN 13 : 9789811338960

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Description du livre Etat : New. N� de r�f. du vendeur 34960504-n

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Kara&#7751apaddhati of Putumana Somay&#257j&#299

Venketeswara Pai|K. Ramasubramanian|M.S. Sriram|M.D. Srinivas

Edit� par Springer Singapore (2018)

ISBN 10 : 9811338965 ISBN 13 : 9789811338960

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Description du livre Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains&nbspscholarly work&nbspon the Karana Paddhati of Putumana SomayajiPresents the theoretical basis for the vakya systemSheds light on the unique way that ancient Indian astronomers thought&nbspand acted. N� de r�f. du vendeur 262208021

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Kara�apaddhati of Putumana Somay�j�

Venketeswara Pai

Edit� par Springer Nature Singapore (2018)

ISBN 10 : 9811338965 ISBN 13 : 9789811338960

Neuf Taschenbuch Quantit� disponible : 1

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AHA-BUCH GmbH
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Description du livre Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 karana texts 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. Karanapaddhati, however, is not a karana text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karana text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker.Karanapaddhati presents the theoretical basis for the vakya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khanda, mandala and dhruvaalong with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form ofvakyas or mnemonic phrases. The text also discusses the method of vallyupasa hara,which 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 pi which is not mentioned in the earlier works of the Kerala school. As this is a unique text presenting the rationale behind the vakya system and the computational procedures used in the karana texts, 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. N� de r�f. du vendeur 9789811338960

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