Introduction To The Analysis Of Algorithms, An


ISBN: 9789814271400

Author: Soltys Michael

Published: 19/10/2009 - 152 pp Pages

Imprint / Publisher: World Scientific / World Scientific

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Book Type: Textbook

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This textbook covers the mathematical foundations of the analysis of algorithms. The gist of the book is how to argue, without the burden of excessive formalism, that a given algorithm does what it is supposed to do. The two key ideas of the proof of correctness, induction and invariance, are employed in the framework of pre/post-conditions and loop invariants.

The algorithms considered are the basic and traditional algorithms of computer science, such as Greedy, Dynamic and Divide & Conquer. In addition, two classes of algorithms that rarely make it into introductory textbooks are discussed. Randomized algorithms, which are now ubiquitous because of their applications to cryptography; and Online algorithms, which are essential in fields as diverse as operating systems (caching, in particular) and stock-market predictions.

This self-contained book is intended for undergraduate students in computer science and mathematics.

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Preliminaries; Greedy Algorithms; Divide and Conquer; Dynamic Programming; Online Algorithms; Randomized Algorithms;

Mcmaster Univ, Canada

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