Transcription of Chapter 1 MATHEMATICAL MODELS 1.1 …
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Chapter 1 MATHEMATICAL MODELS INTRODUCTION All of mathematics has its roots in attempts to describe certain aspects of the worldin which we live. We begin with a very simple example. In my apartment, garage,and workshop, I have a large number of metal cabinets with plastic drawers. I usethem to store small items such as nuts, bolts, buttons, ink cartridges, and pegboardhooks. There are some extra drawers here in the kitchen, while in the bathroom isa cabinet that is missing a few drawers. Are there enough drawers in the kitchen tofill out the cabinet in the bathroom? One way to answer this question is to bring thedrawers from the kitchen to the bathroom and put them into the cabinet. Anotherway, a way that uses a simple MATHEMATICAL model , is to count the drawers and thenumber of empty spaces in the cabinet, and compare the two numbers obtained.
Since Sir Isaac Newton invented mathematical physics about 300 ... apply quantitative methods to their own fields. As a result, the range of things that
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