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JAINA MATHEMATICS

Updated on May 19, 2012

The contributions of Jaina mathematics are sidelined not only due to ignorance but also due to the loss of many original works. Amongst the literature available the treatises Surya prajnapti,Jambu Dwipa Prajnapti date back to the third or fourth century BCE. But Sthananga sutra,Uttaradhyayana sutra,Bhagwati sutraandAnuyoga Dwara sutra were written much later. Unlike ancient Indian mathematic, which originated due to ritual needs and practical requirements, Jaina mathematics was the outcome of concerns with cosmology and philosophical deliberations. Jaina mathematics emerged after the conclusion of ancient indian mathematics and before the rise of classical age of indian mathematics which was heralded by Aryabhatta.

JAINA MATHEMATICIANS

Among the great Jaina mathematicians the first who needs special mention is Acharya Virasena who lived in the 8th century CE. Apart from being a mathematician he was a philosopher and poet. His magnum opus was the treatise DHAVALA. He was the first mathematician who derived an accurate value of π (pi) and developed logarithms to base 3 (trakacheda) and base 4 (caturthacheda) He also developed a formula for calculating the value of the frustum. Mahavira who was born around 850CE was the author of the book GANITHA SARA SANGRAHA. Later there were a host of other illustrious mathematicians like SRIDHARA (850 – 950 CE) who wrote GANITHA SANGRAHA, NEMICHANDRA (980 CE) and THAKURA PHERU (14th Century CE). Thakura Pheru served the Khilji sultans as a treasurer in the court of the Khiljis. As Islamic architecture became entrenched in India during medieval period, Thakura Pheru in his work Ganitasarakaumudi derived formulas for calculating domes, arches, and tents. Pheru is also credited with providing a formula for constructing magic squares

There were in ancient India various schools of mathematics, one of which was in Kusumapura, Bihar. The renowned Jain saint BHADRABAHU lived here and wrote his scholarly treatise Suryaprajnaptiand Bhadrabahavi-samhita. In SURYAPRAJNAPATI the value of piwas calculated to a fair degree of accuracy and was known as the Jain value. The other important school of mathematics was in Mysore and Mahaviracarya who lived there made many valuable contributions to Jaina mathematics.

CONTRIBUTIONS OF JAINA MATHEMATICS

Permutation and combination Jain mathematicians were greatly interested in this and the treatise Bhagawati sutra contains rules to perform this. The Jain mathematician Silanka developed three rules pertaining to it.

Arithmetic of large numbers and categorization of infinity was another area of interest. Jain mathematicians were the first to conceive the idea of transfinite numbers and they classified numbers into three categories viz; enumerable,innumerableandinfinite apart from odd and even numbers. According to Jain mathematicians there are five different kinds of infinity. There was the infinite in one and two directions, infinite in area, infinite everywhere and infinite perpetually. This was a very novel idea developed by them, which was far ahead of their time. The Jains were also familiar with the laws of indices (though it was not clearly spelt out) and anticipated the concept of logarithm.

Their other areas of contributions were in the Geometry of the circle, Operations with fractions, Simple equations. Cubic equations and magic numbers. The potential for research in Jaina mathematics and its popularization is still great and needs to be looked into.

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  • ram_m profile imageAUTHOR

    ram_m 

    6 years ago from India

    Thank you Danddman, I will certainly write a hub on magic squares

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