Year: 2026 | Month: April | Volume: 13 | Issue: 4 | Pages: 323-340
DOI: https://doi.org/10.52403/ijrr.20260432
Mathematics Beyond Boundaries: Integrating Economic Dynamics and Physical Systems through Analytical Modeling
Juned Alam1, Ujjal Sut2, Bidish Borah3, Debajyoti Sarkar4
1Assistant Professor, Department of Mathematics, Kaliabor College, Nagaon, Assam, India
2Assistant Professor, Department of Economics, Kaliabor College, Nagaon, Assam, India
3Assistant Professor, Department of Physics, Kaliabor College, Nagaon, Assam, India
4Assistant Professor, Department of Commerce, Kaliabor College, Nagaon, Assam, India
Corresponding Author: Juned Alam
ABSTRACT
Mathematics has long served as a foundational framework for scientific inquiry, providing precise tools to describe, analyze, and predict complex phenomena. This paper examines the interdisciplinary application of mathematical modelling in economics and physics, with particular emphasis on the shared analytical structures that connect these domains. It demonstrates how mathematical formulations effectively capture both economic behavior and physical laws through the use of core techniques such as calculus, linear algebra, and differential equations. Adopting a balanced approach that integrates theoretical analysis with practical interpretation, the study moves beyond purely abstract exposition to highlight the operational relevance of mathematical models. Key concepts, including optimization, equilibrium, and dynamical systems, are explored to reveal fundamental parallels in modelling strategies across disciplines. The study argues that mathematics functions as a unifying language bridging the natural and social sciences, enabling a deeper and more coherent understanding of complex systems. By emphasizing these structural correspondences, the findings highlight the importance of interdisciplinary approaches in contemporary research and demonstrate how mathematical methods enhance analytical clarity, consistency, and depth in the study of real-world phenomena.
Keywords: Mathematical Modelling, Applied Mathematics, Economics, Physics, Optimization, Differential Equations, Interdisciplinary Research.
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