THE SCIENTIFIC AND PRACTICAL SIGNIFICANCE OF MATHEMATICAL MODELING IN INTERDISCIPLINARY RESEARCH

Authors

  • Shohida Sh. Ramazonova Lecturer, Department of General Technical Sciences, Asia International University

Keywords:

Mathematical modeling, applied mathematics, interdisciplinary research, simulation, analysis, optimization, prediction, scientific methodology, computational modeling, system approach, data analysis, artificial intelligence, decision-making, quantitative methods, model validation, sustainability, innovation, digital transformation, theoretical framework, problem-solving, educational modeling, complex systems.

Abstract

 This article explores the scientific and practical significance of mathematical modeling as a fundamental methodology in modern interdisciplinary research. The paper emphasizes the role of mathematical models in analyzing, predicting, and optimizing real-world systems in various domains, including economics, engineering, ecology, medicine, and the social sciences.

The study outlines the conceptual basis, historical evolution, and theoretical foundations of mathematical modeling, highlighting its importance in simplifying complex processes while maintaining their essential features. It also examines the methodological stages of modeling and its applications in decision-making, innovation, and education.

The research concludes that mathematical modeling serves as a bridge between theoretical knowledge and practical implementation, enabling the efficient management of dynamic systems. In the context of rapid technological advancement, mathematical modeling is recognized as an indispensable tool for sustainable scientific and technological progress.

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References

Kolmogorov, A. N. Foundations of Mathematical Modeling. Moscow, 1986.

Rahmatullayev, S. Applied Mathematics and Computational Modeling. Tashkent, 2021.

Mamatov, M. Theory and Practice of Mathematical Modeling. Tashkent, 2019.

Bertsekas, D., & Tsitsiklis, J. Introduction to Applied Mathematics. MIT Press, 2008.

Ministry of Higher Education of the Republic of Uzbekistan. Educational Resources, 2022.

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Published

2025-10-05

How to Cite

Shohida Sh. Ramazonova. (2025). THE SCIENTIFIC AND PRACTICAL SIGNIFICANCE OF MATHEMATICAL MODELING IN INTERDISCIPLINARY RESEARCH. Journal of Applied Science and Social Science, 15(10), 70–73. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/1963

Issue

Vol. 15 No. 10 (2025): Volume 15 Issue 10

Section

Articles

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