HISTORY OF THE DIVISION BY ZERO AND DIVISION BY ZERO CALCULUS

Division by zero has a long and mysterious history since the origins of mathematics by Euclid and Brahmagupta. We will see that they are very important in mathematics, however they had the serious problems; that is, on the point at innity and the division by zero, respectively. Indeed, in Euclidean geometry, the point at innity was vague and meanwhile, in the
arithmetric laws of Brahmagupta, the division by zero 1=0 was impossible.By some new denition of the division by zero 1=0, we can obtain the new concept of some completion of Euclidean geometry and we can consider some
natural division by zero. The concept of division by zero will create the concept of division by zero calculus and this concept will give great impacts to elementary mathematics. In this paper, we will present some essential history of the division by zero with some up-to-date situation. In order to see simply the new results of the division by zero, we will show the typical
results in the fundamental objects. We give the fundamental properties of the division by zero calculus.