This study presents the methods and tools required to determine the effectiveness of algorithms in a practical setting. It is a mathematical book emphasizing analytical techniques and computational tools. Proofs are given to the extent that they use and illustrate the methods discussed in the book. The book is designed for the dual use of a textbook in a variety of graduate courses and seminars, and as a reference for the algorithm designer and the scientist specializing in the mathematical tools of analysis of algorithms.

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"The probabilistic analysis of algorithms, as a discipline, draws on a number of branches of mathematics: combinatorics, probability theory, graph theory, real and complex analysis, and occasionally algebra, number theory, computation theory, operational calculus, and more. It is unreasonable to expect the students to have more than a cursory knowledge of the techniques we use, so much of the text introduces and explores these methods. . .The emphasis throughout is on the analytic and probabilistic aspects, rather than the algorithmic ones." --from the Preface"Such a book is a joy to teach from."--Computing Reviews

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