Analysis Of Algorithms


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Practical Analysis of Algorithms


Practical Analysis of Algorithms

Author: Dana Vrajitoru

language: en

Publisher: Springer

Release Date: 2014-09-03


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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.

Beyond the Worst-Case Analysis of Algorithms


Beyond the Worst-Case Analysis of Algorithms

Author: Tim Roughgarden

language: en

Publisher: Cambridge University Press

Release Date: 2021-01-14


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Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.

Mathematics for the Analysis of Algorithms


Mathematics for the Analysis of Algorithms

Author: Daniel H. Greene

language: en

Publisher: Springer Science & Business Media

Release Date: 2007-10-05


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This monograph collects some fundamental mathematical techniques that are required for the analysis of algorithms. It builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major paradigms used in the precise analysis of algorithms, emphasizing the more difficult notions. The authors cover recurrence relations, operator methods, and asymptotic analysis in a format that is concise enough for easy reference yet detailed enough for those with little background with the material.