👉 Mathematical modeling is the process of creating abstract representations of real-world phenomena using mathematical concepts and techniques to describe, analyze, predict, and solve problems. It involves identifying key variables, relationships, and patterns within a system or process, then formulating these into equations, differential equations, statistical models, or other mathematical frameworks. These models can range from simple linear equations to complex systems of nonlinear differential equations, and they are used across various fields like physics, biology, economics, and engineering to understand, simulate, and optimize real-world behavior. The goal is to capture the essence of a system's dynamics in a way that allows for quantitative predictions and insights, enabling better decision-making and problem-solving.
