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Probability and Computing Randomized Algorithms and Probabilistic Analysis

ISBN-10: 0521835402
ISBN-13: 9780521835404
Edition: 2005
List price: $84.99 Buy it from $67.86
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Description: This introduction to the probabilistic techniques and paradigms used in the development of probabilistic algorithms and analyses assumes only an elementary background in discrete mathematics and gives a rigorous yet accessible treatment of the  More...

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Book details

List price: $84.99
Copyright year: 2005
Publisher: Cambridge University Press
Publication date: 1/31/2005
Binding: Hardcover
Pages: 370
Size: 7.00" wide x 10.00" long x 1.00" tall
Weight: 2.046

This introduction to the probabilistic techniques and paradigms used in the development of probabilistic algorithms and analyses assumes only an elementary background in discrete mathematics and gives a rigorous yet accessible treatment of the material.

Eli Upfal is Professor and Chair of Computer Science at Brown University. He has published more than 100 papers in refereed journals and professional conferences, and is the inventor of more than ten patents. His main research interests are randomized computation and probabilistic analysis of algorithms, with applications to optimization algorithms, communication networks, parallel and distributed computing and computational biology.

Preface
Events and probability
Discrete random variables and expectation
Moments and deviations
Chernoff bounds
Balls, bins and random graphs
The probabilistic method
Markov chains and random walks
Continuous distributions and the Poisson process
Entropy, randomness, and information
The Monte Carlo method
Coupling of Markov chains
Martingales
Pairwise independence and universal hash functions
Balanced allocations
References

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