The period of modern mathematics refers to the period from 65438 to the 1920s. During this period, mathematics mainly studied the most general quantitative relations and spatial forms. Number and quantity are only very special cases, and the usual geometric images in one-dimensional, two-dimensional and three-dimensional spaces are only special cases. Abstract algebra, topology and functional analysis are the main parts of modern mathematical science. They are courses for college mathematics majors, and non-mathematics majors should also know about them. During the period of variable mathematics, many new disciplines are developing vigorously, and their contents and methods are constantly enriched, expanded and deepened.