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The Art of Approximation in Science and Engineering:
An approximate model can be better than an exact model!
This counterintuitive statement suggests a few questions. First, how can approximate models
be at all useful? Should we not strive for exactness? Second, what makes some models more useful than others?
On the first question: An approximate answer is all that we can understand because our minds are a small part of the world itself. So when we represent or model the world, we have to throw away aspects of the world in order for our minds to contain the model.
On the second question: Making useful models means discarding less important information
so that our minds may grasp the important features that remains.
I wrote this book to show you how to discard the less important information and thereby to make the most useful approximate answers. |
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