PYTHAGOREAN TRIPLES: THE CONNECTION BETWEEN NUMBER THEORY, GEOMETRY AND ALGEBRA THROUGH THE VEDIC MATHEMATICS PERSPECTIVE

Abstract

The ancient mathematics of India is an amalgamation of poetry, literature, art, architecture and also scientific thought. Looking at Sanskrit literature, the literature developed for expressing mathematical thoughts and ideas have their special place in linguistic evolution. We can observe that the technical Sanskrit language evolved through the centuries as rich mathematical ideas developed. For the expression of these ideas, the strong technical vocabulary ofthe language was needed. This language approach was very different, it can be compared to today’s technical vocabulary we have developed for modern computer which was alien even 30 years ago. The ancient technical vocabulary was difficult for contemporary scholars to understand and hence mathematical ideas remain hidden in it for a longer time. The new approach of mathematics invented and developed by Bharti Krishna Tirtha, which did not show such language barriers. It was written in the form of one-line simple Sanskrit words called ‘sutra’. The deep meaning of sutra, its connection and its interpretation to different branches of mathematics and also the deep spiritual thought behind the sutra, is worth studying and researching. In my research paper, I will be presenting the technicalities of ancient mathematical language and exploring the method of Pythagorean triples through the Vedic mathematics ‘sutras’ formulated by Bharati Krishna Tirtha. I will also be highlighting the applications of triples in current mathematical scenario, to connect the different fields of mathematics, implication of which is making mathematics easy, conceptually clear and alsoperceived with a new dimension of thought.