1, pure mathematics: also known as pure mathematics, studies abstract concepts and theories, such as number theory, algebra, geometry, topology, etc. The research object of pure mathematics often has no direct application, and its main purpose is to deduce and prove the correctness of mathematical principles.
2. Applied mathematics: apply mathematics to the study of practical problems, such as calculus, numerical analysis and statistics. The research object of applied mathematics is practical problems in various fields, and its purpose is to predict, test and solve problems with mathematics.
3. Computational Mathematics: Study the methods and theories of solving mathematical problems with computers and numerical algorithms, such as data structure, algorithm analysis, computational geometry, etc.
4. Statistics: research data analysis, probability distribution, hypothesis testing and other issues, and apply them to all walks of life, such as medical research, social science, finance, economy and so on.
5. Operational research: using mathematical methods and techniques to solve complex management and decision-making problems, such as queuing theory, linear programming and project management.
6. Financial mathematics: apply mathematical methods to financial fields, such as interest rate, risk management, financial derivatives and portfolio theory.
7. Computer Science: The study of the theory, application and design of computer and information technology often includes some mathematical methods and technologies, such as cryptography, graphics and artificial intelligence.
8. Statistical physics: study the statistical properties of physical systems and apply probability and statistical methods to solve related problems, such as phase transition and spinning glass.
Mathematical explanation
Mathematics is a science based on symbols and rules, and it is a study of quantity, structure, change and space. It is a subject widely used in science, engineering, sociology, economics and finance. Mathematics includes basic mathematics, applied mathematics and pure mathematics. Through the use of symbols and formulas, it studies the relationship between number and quantity, establishes mathematical models, and analyzes and solves practical problems.
At the same time, mathematics itself is an independent discipline, and various mathematical objects and structures, such as number theory, algebra, geometry and analysis, are studied through formal and axiomatic methods. Generally speaking, mathematics is a science of logical presentation and symbolic operation, which can provide an abstract and accurate way of thinking and provide strong support for the development of modern science and technology.