Use of continued fractions in Karaṇapaddhati (Q2928878)

The method of continued fractions plays a crucial role in Putumana Somayāji's formulation which can be found in \textit{Karaṇapaddhati} of Putumana Somayāji. The two authors find the rates of motion of the planets and the anomalies associated with them. These ratios can be expressed as continued fractions. For this purpose, the paper is divided into eight sections: (i) Introduction, (ii) Revolution numbers of the planets in a Mahayuga, Gunakara, and Harakas, (iii) Corrections to the approximations to the rate of motion: Dvitiya and Trtiya-Harakas, (iv) The Dvitiya-Haraka in terms of the remainders in the mutual division of Mahagunaharas, (v) The true longitude of the moon, moon's anomaly and the Khandadina, (vi) Finding the Khandadina, (vii) True longitude of the moon using on Vakya method, (viii) Concluding remarks.NEWLINENEWLINEEach section is well written and well explained. The paper will be very helpful to those who are going to study 15th century Indian mathematics.