Mathematics in Ancient and Medieval India c8.s3.7

c8.s3.7

The original passages and their translations are given. Proofs of these series have been given in the *Yuktibhāṣā*. The (π)/4 series has been discussed in Chapter VI in connection with the development of the concept of integral calculus. Some modern scholars¹ have also made a study of the π series as given in the *Yuktibhāṣā* and expressed the same in modern notation. The tan series known as Gregory's series has been similarly studied also by a number of modern scholars on the basis of *Yuktibhāṣā* in which series was worked out with the previous formulation of number of lemmas¹.