{"product_id":"the-probabilistic-method-9781119061953","title":"The Probabilistic Method","description":"\u003cp\u003e\u003cb\u003ePraise for the \u003ci\u003eThird Edition\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e\"Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.\" \u003c\/b\u003e\u003cb\u003e- \u003ci\u003eMAA Reviews\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eMaintaining a standard of excellence that establishes \u003ci\u003eThe Probabilistic Method \u003c\/i\u003eas the leading reference on probabilistic methods in combinatorics, the \u003ci\u003eFourth Edition \u003c\/i\u003econtinues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics.\u003c\/p\u003e \u003cp\u003eEmphasizing the methodology and techniques that enable problem-solving, \u003ci\u003eThe Probabilistic Method, Fourth Edition \u003c\/i\u003ebegins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the \u003ci\u003eFourth Edition \u003c\/i\u003efeatures: \u003c\/p\u003e \u003cul\u003e \u003cli\u003eAdditional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques\u003c\/li\u003e \u003cli\u003eNew coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits\u003c\/li\u003e \u003cli\u003eUpdated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eThe Probabilistic Method, Fourth Edition \u003c\/i\u003eis an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The \u003ci\u003eFourth Edition \u003c\/i\u003eis also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eNoga Alon, PhD, \u003c\/b\u003e is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal \u003ci\u003eRandom Structures and Algorithms\u003c\/i\u003e, Dr. Alon is the recipient of the Polya Prize, The G del Prize, The Israel Prize, and the EMET Prize.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eJoel H. Spencer, PhD, \u003c\/b\u003e is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal \u003ci\u003eRandom Structures\u003c\/i\u003e \u003ci\u003eand Algorithms \u003c\/i\u003eand is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of \u003ci\u003eRamsey Theory, Second Edition\u003c\/i\u003e, also published by Wiley.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eNoga Alon, PhD, \u003c\/b\u003e is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal \u003ci\u003eRandom Structures and Algorithms\u003c\/i\u003e, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eJoel H. Spencer, PhD, \u003c\/b\u003e is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal \u003ci\u003eRandom Structures\u003c\/i\u003e \u003ci\u003eand Algorithms \u003c\/i\u003eand is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of \u003ci\u003eRamsey Theory, Second Edition\u003c\/i\u003e, also published by Wiley.\u003c\/p\u003e\u003cbr\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":50332482830610,"sku":"9781119061953","price":139.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_48d4b899-0437-4c11-a274-a352cdd6a0ff.jpg?v=1727838518","url":"https:\/\/surprise-castle.myshopify.com\/products\/the-probabilistic-method-9781119061953","provider":"Surprise Castle","version":"1.0","type":"link"}