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An Intro to the Analysis of Algorithms

An Intro to the Analysis of Algorithms

by Michael Soltys-Kulinicz
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Book cover type: Hardcover
  • ISBN13: 9789814271400
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 152
  • Original Price: USD 45.0
  • Language: English
  • Edition: N/A
  • Item Weight: 409 grams
  • BISAC Subject(s): Combinatorics

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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