Mathematical modeling refers to the mathematical structure obtained by simplifying assumptions and using appropriate mathematical tools for specific purposes, and its significance lies in solving practical problems by mathematical methods. When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and language to establish a mathematical model on the basis of in-depth investigation, understanding of object information, making simplified assumptions and analyzing internal laws.
A mathematical model can be described as a mathematical structure obtained by making some necessary assumptions about specific objects in the real world for specific purposes and according to unique internal laws, and then using appropriate mathematical tools.
In this way, a mathematical structure obtained on the basis of certain abstraction and simplification, that is, a mathematical model, can help people understand the research object more deeply.
For example, the physics we study, especially the physics applied to engineering, such as circuit, theoretical mechanics and material mechanics, is a good intuitive example of mathematical modeling.