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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
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Mathematical Models and Their Analysis (Paperback)
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Mathematical Models and Their Analysis (Paperback)
Series: Classics in Applied Mathematics
Expected to ship within 12 - 19 working days
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A great deal can be learned through modeling and mathematical
analysis about real-life phenomena, even before numerical
simulations are used to accurately portray the specific
configuration of a situation. Scientific computing also becomes
more effective and efficient if it is preceded by some preliminary
analysis. These important advantages of mathematical modeling are
demonstrated by models of historical importance in an easily
understandable way. The organization of Mathematical Models and
Their Analysis groups models by the issues that need to be
addressed about the phenomena. The new approach shows how
mathematics effective for one modeled phenomenon can be used to
analyze another unrelated problem. For instance, the mathematics of
differential equations useful in understanding the classical
physics of planetary models, fluid motion, and heat conduction is
also applicable to the seemingly unrelated phenomena of traffic
flow and congestion, offshore sovereignty, and regulation of
overfishing and deforestation. The formulation and in-depth
analysis of these and other models on modern social issues, such as
the management of exhaustible and renewable resources in response
to consumption demands and economic growth, are of increasing
concern to students and researchers of our time. The modeling of
current social issues typically starts with a simple but meaningful
model that may not capture all the important elements of the
phenomenon. Predictions extracted from such a model may be
informative but not compatible with all known observations; so the
model may require improvements. The cycle of model formulation,
analysis, interpretation, and assessment is made explicit for the
modeler to repeat until a model is validated by consistency with
all known facts.
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