Probability and Computing: Randomized Algorithms and Probabilistic Analysis

✍ Scribed by Michael Mitzenmacher, Eli Upfal

• Publisher: Cambridge University Press
• Year: 2005
• Tongue: English
• Leaves: 371
• Category: Library

✦ Synopsis

Assuming only an elementary background in discrete mathematics, this textbook is an excellent introduction to the probabilistic techniques and paradigms used in the development of probabilistic algorithms and analyses. It includes random sampling, expectations, Markov's and Chevyshev's inequalities, Chernoff bounds, balls and bins models, the probabilistic method, Markov chains, MCMC, martingales, entropy, and other topics. The book is designed to accompany a one- or two-semester course for graduate students in computer science and applied mathematics.