Get Probability and Computing: Randomized Algorithms and PDF

By Michael Mitzenmacher,Eli Upfal

ISBN-10: 0521835402

ISBN-13: 9780521835404

Randomization and probabilistic ideas play a huge position in sleek desktop technology, with functions starting from combinatorial optimization and computer studying to verbal exchange networks and safe protocols. This 2005 textbook is designed to accompany a one- or two-semester path for complicated undergraduates or starting graduate scholars in machine technological know-how and utilized arithmetic. It provides a great advent to the probabilistic thoughts and paradigms utilized in the improvement of probabilistic algorithms and analyses. It assumes simply an simple historical past in discrete arithmetic and offers a rigorous but obtainable remedy of the cloth, with a number of examples and purposes. the 1st 1/2 the booklet covers center fabric, together with random sampling, expectancies, Markov's inequality, Chevyshev's inequality, Chernoff bounds, the probabilistic procedure and Markov chains. the second one part covers extra complicated themes akin to non-stop likelihood, purposes of constrained independence, entropy, Markov chain Monte Carlo equipment and balanced allocations. With its finished collection of themes, besides many examples and workouts, this publication is an critical educating tool.

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Probability and Computing: Randomized Algorithms and Probabilistic Analysis by Michael Mitzenmacher,Eli Upfal


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