Mathematics is the foundation of all scientific (technical) research. It is precisely because of the development of mathematics that we can now use it to develop other sciences. Although only 20 years have passed since 2 1 century, there have been many significant research achievements in the field of mathematics.
For example, 20 1 1, Peter Scholze introduced the concept of Perfectoid space, which shocked the fields of algebra and arithmetic geometry. Perfect embryo space is an algebraic geometric object in the field of P- marching geometry.
Number and shape are two research objects of mathematics.
Number and shape are two research objects of mathematics. Number represents quantitative relationship, and shape represents spatial form. The combination of numbers and shapes fully embodies the concept of reduction, which can be used in the process of mathematics teaching and greatly improve students' ability to think and solve problems.
The combination of numbers and shapes is mainly divided into three situations: the first is to think about numbers from the shape, and its methods include analytical method, algebraic method and trigonometric method; The second method is to think about form from numbers, and its method is structural graphic method; The third method is the mutual transformation of numbers, and its methods include graphic method, volume method and area method.