By David Harel, Yishai Feldman
The most sensible promoting 'Algorithmics' provides an important, recommendations, tools and effects which are primary to the technological know-how of computing. It starts off through introducing the fundamental rules of algorithms, together with their buildings and techniques of information manipulation. It then is going directly to exhibit how one can layout exact and effective algorithms, and discusses their inherent limitations. because the writer himself says within the preface to the book; 'This ebook makes an attempt to provide a readable account of a few of an important and simple subject matters of laptop technological know-how, stressing the basic and strong nature of the technological know-how in a kind that's almost self sustaining of the main points of particular desktops, languages and formalisms'.
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Extra info for Algorithmics : the spirit of computing
Lengthier lists would require more variable names and hence longer algorithms. What we need is a way of referring to many elements in a uniform manner. We need lists of variables that can be “run through,” or accessed in some other way, but without the need to name each of their elements explicitly. We want to be able to “point” to elements in these lists, to refer to the “next” element or the “previous” one, and so on. For these purposes we use vectors, also called one-dimensional arrays. If a variable is like a hotel room, then a vector can be thought of as an entire corridor, or floor, in the hotel.
This clearly would not enable an algorithm of fixed size to “run” through the list, whose length can vary, since each element in the list would have to be referred to in the algorithm by a unique name. Lengthier lists would require more variable names and hence longer algorithms. What we need is a way of referring to many elements in a uniform manner. We need lists of variables that can be “run through,” or accessed in some other way, but without the need to name each of their elements explicitly.
Thus, there is no limit to the potential intricacy of algorithms. Let us consider a simple example of the power of nested iterations. Suppose that the problem was to sum salaries, but not of all employees, only of those who earn more than their direct managers. Of course it is assumed that (except for the true “boss”) an employee’s record contains the name of that employee’s manager. An algorithm that solves this problem might be constructed so that an outer loop runs down the list as before, but for each employee “pointed at” an inner loop searches the list for the record of that employee’s direct manager.