{"product_id":"the-probabilistic-method-9780470170205","title":"The Probabilistic Method","description":"\u003cp\u003ePraise for the Second Edition: \"Serious researchers in combinatorics or algorithm design will wish to read the book in its entirety...the book may also be enjoyed on a lighter level since the different chapters are largely independent and so it is possible to pick out gems in ones own area...\" Formal Aspects of Computing This Third Edition of The Probabilistic Method reflects the most recent developments in the field while maintaining the standard of excellence that established this book as the leading reference on probabilistic methods in combinatorics. Maintaining its clear writing style  illustrative examples  and practical exercises  this new edition emphasizes methodology  enabling readers to use probabilistic techniques for solving problems in such fields as theoretical computer science  mathematics  and statistical physics. The book begins with a description of tools applied in probabilistic arguments  including basic techniques that use expectation and variance as well as the more recent applications of martingales and correlation inequalities. Next  the authors examine where probabilistic techniques have been applied successfully  exploring such topics as discrepancy and random graphs  circuit complexity  computational geometry  and derandomization of randomized algorithms. Sections labeled \"The Probabilistic Lens\" offer additional insights into the application of the probabilistic approach  and the appendix has been updated to include methodologies for finding lower bounds for Large Deviations. The Third Edition also features: A new chapter on graph property testing  which is a current topic that incorporates combinatorial  probabilistic  and algorithmic techniques An elementary approach using probabilistic techniques to the powerful Szemerdi Regularity Lemma and its applications New sections devoted to percolation and liar games A new chapter that provides a modern treatment of the Erds-Rnyi phase transition in the Random Graph Process Written by two leading authorities in the field  The Probabilistic Method  Third Edition is an ideal reference for researchers in combinatorics and algorithm design who would like to better understand the use of probabilistic methods. The books numerous exercises and examples also make it an excellent textbook for graduate-level courses in mathematics and computer science.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":67922275893301,"sku":"ByrdShop_0470170204","price":493.74,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780470170205.jpg?v=1794072772","url":"https:\/\/atxbooks.com\/products\/the-probabilistic-method-9780470170205","provider":"ATX Books","version":"1.0","type":"link"}