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Karanapaddhati of Putumana Somayaji (Hardcover, 1st ed. 2018)
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Karanapaddhati of Putumana Somayaji (Hardcover, 1st ed. 2018)
Series: Sources and Studies in the History of Mathematics and Physical Sciences
Expected to ship within 10 - 15 working days
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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 dhruva along with tabulated values of changes in the true
longitude over certain regular intervals which are expressed in the
form of vakyas or mnemonic phrases. The text also discusses the
method of vallyupasamhara, 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 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.
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