THE ALGORITHMS discussed in this book deal directly with numbers; yet I believe they are properly called semi-numerical, because they lie on the borderline between numeric and symbolic calculation. Each algorithm not only computes the desired answers to a problem, it also is intended to blend well with the internal operations
of a digital computer.
In many cases a person will not be able to appreciate the beauty of such an algorithm unless he or she also has some knowledge of a computer’s machine language; the efficiency of the corresponding machine program is a vital factor that cannot be divorced from the algorithm itself. The problem is to find the best ways to make computers deal with numbers, and this involves tactical as well as numerical considerations.
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