THE FUNCTIONAL ROLE OF MATHEMATICAL ANALYSIS AND ITS PRACTICAL APPLICATION

Abstract

This article extensively discusses the functional role of mathematical analysis and its practical application in various fields. Mathematical analysis is a method of studying functions, limits, integrals, and differential equations, which allows solving specific problems. For example, in physics, mathematical models are constructed to study the laws of motion and the transfer of energy, providing the ability to predict system behavior. In economics, mathematical analysis is widely used to analyze demand dynamics, solve profit maximization problems, and create economic forecasts. In engineering, it is shown how optimization of structures and system dynamics modeling can lead to effective decision-making. Mathematical analysis methods play an important role in system analysis, optimization, and interpretation of experimental data. The article provides deeper insights into the diversity of mathematical analysis applications, its significance in our lives, and its role in modern science. It also discusses the results obtained through mathematical analysis and their practical usefulness. This research strengthens the understanding of the importance of mathematical analysis and its role in so