Higher mathematical education as the basis of scientific research in the field of computer science

this article is devoted to the study of the fundamental role of higher mathematics education in the development of research in computer science. The paper analyzes the historical and current relationship between mathematical disciplines and computer science, demonstrates how mathematical methods provide a theoretical basis for the development of algorithms, data structures, artificial intelligence and other areas of computer science. The research methodology includes theoretical analysis of scientific and methodological literature, study of educational programs of leading Russian and foreign universities, analysis of federal state educational standards and statistical data on publication activity. The key mathematical disciplines for computer science specialists are identified: discrete mathematics, algebra, mathematical analysis, probability theory, numerical methods, and theory of algorithms. Special attention is paid to discrete mathematics as the foundation of theoretical computer science. It is established that the quality of mathematical training significantly affects the success of students in the study of computer science and their further research activities. Recommendations on the optimization of mathematical education for future computer science specialists are presented, considering the current trends of digitalization and labor market requirements.

higher mathematical education, computer science, discrete mathematics, algorithms, specialist training, computational methods, scientific research, educational programs