Mathematics is a first-class discipline, which mainly includes six research directions: basic mathematics, computational mathematics, probability theory and mathematical statistics, applied mathematics, operational research and cybernetics, and mathematics education.
1, basic mathematics
Basic mathematics includes mathematical logic, number theory, algebra, geometry, topology, function theory, functional analysis, differential equations and many other branches, and its scope is far higher than that of a certain research direction in the general sense.
2. Computational mathematics
Computational mathematics is the theory and algorithm to study the numerical solutions of mathematical problems in the field of science and technology, especially the numerical solutions of electronic computers, with special emphasis on the research of efficient and stable algorithms.
3. Probability theory and mathematical statistics
Probability theory and mathematical statistics are subjects that study the inherent regularity of random phenomena.
Probability theory aims to study the quantitative laws of random phenomena in theory and is the basis of mathematical statistics. Mathematical statistics is a subject that studies how to collect, analyze and use random data effectively from the mathematical point of view, which provides a broad world for the practical application of probability theory.
4. Applied Mathematics
Applied mathematics is an important bridge between mathematics and the real world. It mainly studies mathematical problems in important fields such as information, economy, finance and management, and the reaction of mathematics to these fields. Including the establishment of corresponding mathematical models, the use of mathematical methods to solve practical problems, and the study of mathematical theories with practical background and application prospects.
5. Operations Research and Cybernetics
Operations research combines mathematics, computer science and management science, and provides theoretical basis for the planning, design, management, operation and optimal decision-making of various systems through the study of modeling methods and optimization methods.
At present, control theory is at the forefront of the cross development of mathematics, computer science, engineering science and life science, and it is the theoretical basis of modern technology represented by automation, informationization, robotics, computer and aerospace technology.
6. Mathematics education
Mathematics education is a subject that studies the contents, methods and practices of mathematics teaching. The main research directions include mathematics curriculum content, mathematics teaching, mathematics learning, mathematics education evaluation, mathematics teacher education, mathematics history, mathematics philosophy and modern technology of mathematics education.
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