Development And Evolution Of Infinite Series

As a tool of mathematical analysis, infinite series plays an important role. It makes a lot of complex algebraic functions and excessive functions become simple, and then we can differentiate or integrate term by term. Therefore, these functions can be done with easily. As analysis becoming more and more rigorous, the theory of infinite series has come into being, which promote the development of mathematics largely.With the development of infinite series as the center, with the variation of thought after the infinite entering the mathematics as the clue, this paper analyzes the historical background of the form of infinite series theory in systematic way. Furthermore, we generalize the process of building and development of series theory by concluding the high priest and their relevant work.