"In this paper we will focus on mathematics and its development in ancient India, China and different other countries specifically in different centuries starting from thirteen centuries to twentieth century’s". When we attempt to define "Mathematics", we find ourselves encircled by unexpected limitations, and these limitations are still more in evidence when we change the term to "elementary mathematics". If mathematics mean that the abstract science which investigates deductively the conclusions implicit in the elementary conceptions of spatial and numerical relation". Seeking to tell the story of the genesis of mathenatics even before the period in which the science began to exist such a procedure will lead us back not only to the days when the human race was young but to the ages immediately antedating its appearances upon the eann and even further. If one should wish to reach an absolute zero from which to begain his narrative, he would soon find himself last in a maze of perplexities