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| Open Access | THE IMPORTANCE OF DISCRETE MATHEMATICS IN FORMING THE FOUNDATIONS OF COMPUTER SCIENCE
Nazokat Isaevna Abdullaeva,Imash kyzy Meerem,Umida Isakulovna Murtazaeva,Dzhabbarova Khabiba Kuvandikovna , Associate Professor of the Department of Computer Systems of the Samarkand branch of TUIT named after Muhammad al-Khwarizmi, PhD/Professor of the Department of Applied Mathematics and Informatics of the Kyrgyz-Turkish Manas University/Senior Lecturer of the Department of Computer Systems of the Samarkand branch of TUIT named after Muhammad al-Khwarizmi/Associate Professor of the Department of Humanities and Information Technology of the Samarkand State Institute of Foreign Languages(SamSIFL)Abstract
This article examines the role of discrete mathematics in the formation of key concepts and methods used in algorithms, data structuring, cryptography, information theory, artificial intelligence, and machine learning. Particular attention is paid to graph theory, combinatorics, theory of algorithms, formal languages, and optimization methods, which provide the basis for effective problem solving in computer science. The presented analysis emphasizes the importance of discrete mathematics in constructing mathematical models that allow predicting the behavior of complex systems and improving decision-making processes in various scientific and engineering fields.
Keywords
discrete mathematics, computer science, graph theory, combinatorics, algorithms, cryptography, machine learning, information theory, mathematical modeling, optimization.
References
Rosen, Kenneth H. “Discrete Mathematics and Its Applications” McGraw-Hill Education, 2018.
Susanna S. Epp “Discrete Mathematics with Applications” Cengage Learning, 2018.
Knuth, Donald E. “The Art of Computer Programming, Volume 4: Combinatorial Algorithms, Part 1” Addison-Wesley Professional, 2011.
Abdullaeva N.I. Improving the methodology of teaching the course “Discrete structures” in the preparation of bachelors in the direction of Computer engineering based on innovative technologies // Diss. PhD in Pedagogical Sci. - Tashkent, 2023. - 165 p.
Abdullaeva N.I., Murtazaeva U.I. “Conceptual Features of Discrete Mathematics in the Study of Computer Sciences” XI International Scientific Conference “Modern Problems of Mathematics and Mechanics”, July 03-06, 2024 -Baku/AZERBAIJAN
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