Customer Reviews

Inequalities: With Applications to Engineering

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This is a very interesting book to browse through if one needs to make a lot of approximations to model physical phenomena. For example, if one needs to estimate parasitic capacitance of a complex 3d structure, one can either resort to numerical modeling to get a near exact answer, or instead use the proof given in this book that the capacitance of such a structure can be bounded by a sphere that encloses it for a quick estimate in about a minute that will allow you to see whether the capacitance is significant and you need to calculate it more exactly. It has an easy to follow proof that the currents divide themselves in an electrical circuit to minimize dissipated power. It shows how to quickly bound tough integrals. I am not sure where it would fit into a curriculum, but it sure is a nice book to remind one of what can be done by taking a complex problem and turning it into a simple one by developing upper and lower bounds of a simpler case.

The reason why it is so sublime is that this book really explains the very common notion of inequalities in clear, lucid terms. This would be a perfect book for those who enjoy reading about applied mathmatics. It would also suit a upper level high school class or a basic college class about a very common mathmatical subject. Cloud and Drachman have lots of insight into making a complicated topic very simple.