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A mathematical model is an abstract description of a concrete system using mathematical concepts and language The analysis of a mathematical model allows the essence of a phenomenon to be penetrated. The process of developing a mathematical model is termed mathematical modeling.
Physicists have built mathematical models to describe a wide range of systems A mathematical model is a powerful tool for understanding the outside world and for prediction and control Often, the systems can be specified precisely, making the application of mathematical equations relatively simple.
Mathematical modeling is the process of formulating an abstract model in terms of mathematical language to describe the complex behavior of a real system
Mathematical models are quantitative models and often expressed in terms of ordinary differential equations and partial differential equations. A simulation uses a mathematical description, or model, of a real system in the form of a computer program This model is composed of equations that duplicate the functional relationships within the real system. This guide will provide an overview of mathematical modeling, its significance, the steps involved in building models, and examples of its application in various industries.
This introduction to mathematical modeling was developed for an audience of college seniors pursuing an undergraduate degree in mathematics with emphasis in applied mathematics, the life sciences, or engineering. Models are a representation of a particular thing, idea, or condition The modeling process.is a series of steps taken to convert an idea first into a conceptual model and then into a quantitative model Conceptual model represents our ideas about how the system works.
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