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Practical Analysis of Algorithms

Practical Analysis of Algorithms

Paperback

Series: Undergraduate Topics in Computer Science

General ComputersProgramming

ISBN10: 331909887X
ISBN13: 9783319098876
Publisher: Springer
Published: Sep 15 2014
Pages: 466
Weight: 1.47
Height: 0.97 Width: 6.14 Depth: 9.21
Language: English
This book introduces the essential concepts of algorithm analysis required by core undergraduate and graduate computer science courses, in addition to providing a review of the fundamental mathematical notions necessary to understand these concepts. Features: includes numerous fully-worked examples and step-by-step proofs, assuming no strong mathematical background; describes the foundation of the analysis of algorithms theory in terms of the big-Oh, Omega, and Theta notations; examines recurrence relations; discusses the concepts of basic operation, traditional loop counting, and best case and worst case complexities; reviews various algorithms of a probabilistic nature, and uses elements of probability theory to compute the average complexity of algorithms such as Quicksort; introduces a variety of classical finite graph algorithms, together with an analysis of their complexity; provides an appendix on probability theory, reviewing the major definitions and theorems used in the book.

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