1, Simplicity: One of the advantages of mathematical theory is that it can reveal complex phenomena in a concise way. Another thing worth emphasizing about conciseness is the invariants of beauty such as constants, essence, * * *, relations and laws. What mathematics is concerned about.

In the final analysis, they are all invariants, and an important manifestation of invariants is invariants, which is an important embodiment of the beauty of simplicity in mathematics.

2. Abstraction: Mathematicians pay attention to the number and shape of the similarity of everything, but ignore its specific material attributes. A high degree of abstraction makes mathematics rich in connotation, profound in significance and widely used.

3. Unity: Mathematicians establish relationships between different things and find their similarities, which are manifested in the beauty of unity.

Knowledge expansion:

Mathematics is a subject that studies concepts such as quantity, structure, change and space. It aims to explore and understand the nature and laws of the real world. Mathematics is widely used in science, engineering, finance, medicine and other fields, and it is also an important part of human civilization.

The research objects of mathematics include numbers, shapes, structures and changes, which are widely used in reality. Mathematical research methods include deductive reasoning, inductive reasoning, numerical calculation, symbolic calculation and so on. These methods provide us with tools and means to solve problems.

The development of mathematics can be traced back to ancient times, and the earliest mathematical concepts of human beings can be traced back to counting and measuring. In ancient times, mathematics was used to solve practical problems, such as calculating time, land area and building volume.

With the development of human civilization, mathematics has gradually become an independent discipline, forming different branches and fields, such as algebra, geometry, probability theory, statistics and so on.

In modern society, mathematics has become a very important subject. In the field of scientific research, mathematics is used to describe and predict natural phenomena such as physics, chemistry and biology. In the engineering field, mathematics is used to design and optimize various systems and equipment, such as machinery, electronics, computers and so on.

In the financial field, mathematics is used to analyze and predict market trends and risks, such as investment, risk management and actuarial science.

Mathematics is not only applied in science and technology, but also widely used in humanities and social sciences. For example, in economics, mathematics is used to describe and predict market behavior and economic development trends; In psychology, mathematics is used to analyze and describe human behavior and thinking process; In philosophy, mathematics is used to explore logic and metaphysics.

In a word, mathematics is a very important subject, which provides us with tools and means to describe and understand the real world. Through the study and application of mathematics, we can better understand and master natural phenomena and social laws, and at the same time we can better solve practical problems.