Titlebook: Introduction to the Foundations of Applied Mathematics; Mark H. Holmes Textbook 20091st edition Springer-Verlag New York 2009 Applied Math

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Apraxia

Perturbation Methods,The examples that follow this one are more complex and, unlike this equation, we will not necessarily know at the start how many solutions the equation has. A method for determining the number of real-valued solutions involves sketching the terms in the equation.

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Kinetics,We now investigate how to model, and analyze, the interactions of multiple species and how these interactions produce changes in their populations. Examples of such problems are below.

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Traffic Flow,Although the underlying physics of each of these is quite different they all involve the movement of objects along what is effectively a one-dimensional pathway. We will take advantage of this when developing a mathematical model for the motion, but before doing so we must first decide on how to account for the spatial and temporal variables.

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Mark H. HolmesStrong addition to mathematical modeling textbooks.Well known author with previous successful books.Includes supplementary material:

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