Three separate methods for squaring: A connective prospective on Lilavati, Vedic and Trachtenberg
Author(s): Krishna Kanta Parajuli
Abstract: In the twelfth-century, Lilavati of Bhascaracharya-II contributed significantly making its occurrence up to the splendid history of mathematics, which has been used as a text-book for mathematics over 800 years in South Asian countries. However, in the nineteenth century, two independently developed mathematical systems namely, Trachtenberg and Vedic system of mathematics were significant all over. This paper mainly accentuates on tracing the connection of Lilavati to Vedic and Trachtenberg system of mathematics. This research is based on a comparison among the three treaties by their mathematical systems on squaring the numbers. All three mathematical treaties have their separate methods for finding the square. The Lilavati appears to have more or less influence on Vedic and Trachtenberg systems. Moreover, there are many similarities between the Vedic and Trachtenberg mathematical system in squaring the numbers.