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An Intro to the Analysis of Algorithms

An Intro to the Analysis of Algorithms

Hardcover

General Mathematics

ISBN10: 9814271403
ISBN13: 9789814271400
Publisher: World Scientific Publishing Company
Published: Nov 1 2009
Pages: 152
Weight: 0.90
Height: 0.70 Width: 6.10 Depth: 9.00
Language: English
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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Soltys Michael

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General Mathematics