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Analysis of Algorithms: Computational Methods & Mathematical Tools presents the methods and tools needed to determine the effectiveness of algorithms. It begins with basic computational tools such as generating functions, combinatorial calculus, and asymptomatic methods, and continues through applications such as searching and sorting, communications protocols, and bin packing heuristics. The techniques needed for an effective use of each concept are shown in examples, then in exercises for which detailed solutions are provided. Proofs are given to illustrate the focal topic of the chapter. While the book can be used as a reference tool for algorithm designers and scientists specializing in their analyses, the exercises also make this a useful guide for graduate courses and seminars. Much of the material is culled from recent journal articles, and is presented here for the first time in book form.
This text investigates the mathematical foundations and computational methodologies required to rigorously evaluate the efficiency and performance of algorithms. Micha Hofri, an expert in the field, synthesizes complex analytical techniques to provide a structured framework for algorithm analysis. By bridging the gap between theoretical mathematics and practical application, the book serves as both a reference for researchers and a pedagogical tool for advanced students. The work relies on a combination of combinatorial calculus and asymptotic analysis to derive precise performance metrics for various computational processes.
What You Will Find
Experts recognize this work as a significant compilation of research-level material previously scattered across academic journals. Readers frequently note the high level of mathematical rigor, making it a standard resource for graduate-level study in computational theory.
Page Count:
640
Publication Date:
1995-10-26
Publisher:
Oxford University Press
ISBN-10:
0195099540
ISBN-13:
9780195099546
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