The Study Of Important Mathematical Applications Of Ancient India

        In all ancient civilizations, the first expression of mathematical knowledge appears in the form of a calculation system. In very early societies, numbers were represented by a set of lines. Later, however, different numbers came to be represented by specific numerical names and symbols, for example in India. In places such as Rome, they were called alphabets, but not all numbers in ancient civilizations were based on the decimal system. Records of mathematical activities in the Vedic period are mostly found in the Vedas along with religious rituals. As in many other agriculturally based ancient civilizations, the study of arithmetic and geometry was also inspired by secular activities. Thus, to some extent, old mathematical advances developed in India in the same way as in Egypt, Babylon, and China. Philosophical theories profoundly influenced the development of mathematical hypotheses and axioms. Like the Upanishads' view of the world, space and time were considered infinite in Jain's philosophy. This led to a strong interest in the definitions of very large numbers and infinitesimals. In this research paper, important mathematical applications of ancient India have been studied.