The Probabilistic Method by Noga Alon, Joel H. Spencer
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Overview: The leading reference on probabilistic methods in combinatorics now expanded and updated When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed on recent developments, while adding useful exercises and over 30 per cent new material. It continues to emphasize the basic elements of the methodology, discussing in a remarkably clear and informal style both algorithmic and classical methods as well as modern applications. The Probabilistic Method, Second Edition begins with basic techniques that use expectation and variance, as well as the more recent martingales and correlation inequalities, then explores areas where probabilistic techniques proved successful, including discrepancy and random graphs as well as cutting-edge topics in theoretical computer science. A series of proofs, or probabilistic lenses, are interspersed throughout the book, offering added insight into the application of the probabilistic approach.
Genre: Non-Fiction, Science, Mathematics
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