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Introduction:

Mathematical
Modeling is information of a program using mathematical ideas and language.
Mathematical models are used not only in the natural sciences and technological
innovation professions but also in the social sciences, physicists,
technicians, statisticians, research experts and economic experts use
mathematical designs most substantially.

A model may help
to describe a program and to study the effects of different elements, and to
make forecasts about behavior. Mathematical model can take several types, but
not restricted to dynamical systems, differential equations, or game theoretic
designs. These and additional types of models can overlap, with a specified
model along with a variety of subjective elements. In general, mathematical
models may include sensible designs, as far as reasoning is taken as a part of
mathematics.

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Principles of Mathematical Modeling:

Mathematical
modeling is a principled action that has both principles behind it and
techniques that can be efficiently used. The concepts are over-arching or
meta-principles phrased as concerns about the objectives and reasons of
mathematical modeling. In characteristics meta-principles are almost
philosophical .We will now summarize the concepts, and in the next area we will
temporarily evaluation some of the techniques.

Initially
recognize the need for the model and next find Record the information we are
looking for. Then recognize the available appropriate information. Then assume
and recognize the conditions that implement. Then recognize the governing
physical concepts. We have to predict the equations that will be used, the
computations that will be created, and the solutions that will result. The
model predicts assessments that can be made to confirm the model, i.e., is it
reliable with its concepts and assumptions. Finally verify the assessments that
can be made to confirm the design, i.e., is it useful with regards to the
preliminary purposes it were done.

Mathematical
modeling is an activity or process that allows a mathematician to be a drug
store, an ecologist, an economist, a physiologist etc.