Background
Alon, Noga Mordechai was born on February 17, 1956 in Haifa, Israel. Son of Dror and Hemda (Cohen) Alon.
(Praise for the Second Edition : "Serious researchers in c...)
Praise 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 one's 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 Szemeredi Regularity Lemma and its applications New sections devoted to percolation and liar games A new chapter that provides a modern treatment of the Erdos-Renyi 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 book's numerous exercises and examples also make it an excellent textbook for graduate-level courses in mathematics and computer science.
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( Praise for the Third Edition “Researchers of any kind ...)
Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” - MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues 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. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins 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 Fourth Edition features: • Additional 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 • New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits • Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, 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 Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.
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mathematician university professor
Alon, Noga Mordechai was born on February 17, 1956 in Haifa, Israel. Son of Dror and Hemda (Cohen) Alon.
He received his Doctor of Philosophy in Mathematics at the Hebrew University of Jerusalem in 1983 and had visiting positions in various research institutes including Massachusetts Institute of Technology, The Institute for Advanced Study in Princeton, International Business Machines Corporation Almaden Center, Bell Labs, Bellcore and Microsoft.
Visiting assistant professor, Massachusetts Institute of Technology, Cambridge, 1983-1985;
senior lecturer mathematics, Tel Aviv U., Israel, 1985-1986;
associate professor mathematics, Tel Aviv U., Israel, 1986-1988;
full professor mathematics, Tel Aviv U., Israel, since 1988;
Baumritter professor mathematics, Tel Aviv U., Israel, since 1993. Consultant American Telephone & Telegraph Company Bell Labs, Murray Hill, New Jersey, 1984, 93, 94, 95, Bellcore, Morristown, New Jersey, 1985, 86, 87, 88, 89, 91, 92. Researcher International Business Machines Corporation Almaden Research Center, San Jose, California, 1985, 89-90.
Visiting professor Institute for Advanced Study, Princeton, New Jersey, 1993, 95.
(The leading reference on probabilistic methods in combina...)
( Praise for the Third Edition “Researchers of any kind ...)
(Praise for the Second Edition : "Serious researchers in c...)
Israel Academy of Sciences and Humanities.
Married Nurit Sheffer, February 21, 1978. Children: Nilli, Natalie, Narkis.