Ganitatilaka (Sanskrit text and English introduction)

by H. R. Kapadia | 1937 | 49,274 words

The Sanskrit text of the Ganitatilaka with an English introduction and Appendices. Besides the critically-edited text, this edition also includes the commentary of Simhatilaka Suri. The Ganitatilaka is an 11th-century Indian mathematical text composed entirely of Sanskrit verses and authored by astronomer-mathematician Shripati. The text itself dea...

Part 22 - Applied mathematics

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I have collected materials throwing light on Applied Mathematics, too; but I reserve their treatment for future. Only a few particulars are being noted here. That light is matter is suggested in Tattvarthadhigamasutra (V, 24). An idea akin to the first law of Newton, is also expressed in this work (X, 6). The Jaina notion about the principle of flotation can be inferred from Kalyanamandirastotra (v. 10). The theory of sound is discussed at great length in Visesavasyakabhasya (v. 351-372).1 

1 This is only what could be here noted from my paper "Some materials for the study of Mathematics in Jaina literature" accepted by and read at the Jubilee sessions of the Indian Mathematical Conference held in 1932. This paper was based upon the notes prepared by me when I submitted to the University of Bombay in 1924, the results pertaining to "Jaina Mathematics" in connection with which a grant was given to me by this University in 1923. During the years that have since elapsed, my friend Dr. B. Datta has contributed in this connection three important and interesting articles: two to the Bulletin of the Calcutta Mathematical Society in 1928-29 and one, to "Quellen und studien zur Geschicte der Mathematic", a German journal in 1933. Still much remains to be said regarding Jaina Mathematics not only by way of multiplying the instances in support of the facts mentioned. here but also by presenting together several Mathematical problems lying scattered in the various agamas and by bringing to light other Mathematical factors which may have escaped notice on account of the want of thorough investigation of the Jaina canonical works which is not still carried out by me owing to the circumstances being not quite favourable for it.

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With these words about Jaina contributions in the Mathematical field, I shall now say a few words about Ganitatilaka.

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