Interesting, real-world mathematical modeling problems are complex
and can usually be studied at different scales. The scale at which
the investigation is carried out is one of the factors that
determines the type of mathematics most appropriate to describe the
problem. The book concentrates on two modeling paradigms: the
macroscopic, in which the authors describe phenomena in terms of
time evolution via ordinary differential equations, and the
microscopic, which requires knowledge of random events and
probability. The text emphasizes the development of computational
skills to construct predictive models and analyze the results. To
elucidate the concepts, a wealth of examples and portions of
MATLAB? code used by the authors are included. Computational
Mathematical Modeling: An Integrated Approach Across Scales:* Is
designed for classroom use, has been extensively tested by the
authors, and has homework problems carefully designed to develop
students' computational skills.* Is based on an unorthodox
combination of deterministic and probablistic methodologies that
are naturally bridged through examples.* Painlessly introduces
students to advanced themes in a natural progression.* Includes
suggestions for further reading.
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