Mathematical model
A mathematical model is a description of a system using mathematical concepts and language.
Contents
Description
The process of developing a mathematical model is termed mathematical modeling.
Mathematical models are used in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (such as computer science, artificial intelligence), as well as in the social sciences (such as economics, psychology, sociology, political science).
Physicists, engineers, statisticians, operations research analysts, and economists use mathematical models most extensively.
A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour.
Forms of mathematical model
Mathematical models can take many forms, including but not limited to:
These and other types of models can overlap, with a given model involving a variety of abstract structures.
Logical models
In general, mathematical models may include logical models.
In many cases, the quality of a scientific field depends on how well the mathematical models developed on the theoretical side agree with results of repeatable experiments.
Theory versus practice
Lack of agreement between theoretical mathematical models and experimental measurements often leads to important advances as better theories are developed.
See also
- Agent-based model
- Cliodynamics
- Computer simulation
- Conceptual model
- Decision engineering
- Differential equation
- Dynamical systems
- Game theory
- Grey box model
- Logical model
- Mathematical biology
- Mathematical diagram
- Mathematical psychology
- Mathematical sociology
- Mathematical theory
- Mathematics
- Microscale and macroscale models
- Model
- Model inversion
- Statistical model
- System identification
- TK Solver - Rule Based Modeling
External links
- Mathematical model @ Wikipedia
