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 Szemerédi Regularity Lemma and its applications New sections devoted to percolation and liar games A new chapter that provides a modern treatment of the Erdös-Rényi 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.
The world of theatre, like the world of law and the world of psychology, deals with the human soul. These are fascinating worlds, which are often found in internal contradictions. They teach us that we must not only see what is presented superficially in front of our faces, but also look inward and thus see ourselves as well. This book deals with six plays, originally written in Yiddish, but translated into many different languages, which have been staged with great success around the world, thus showing the universal power of the text. It examines these texts for the first time from a legal and psychoanalytical perspective, which sheds new light on the theatrical work as well as the conflicts between the characters.
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.
Hundreds of Palestinian villages were left empty across Israel when their residents became refugees after the 1948 war, their lands and property confiscated. Most of the villages were razed by the new State of Israel, but in dozens of others, communities of Jews were settled—many refugees in their own right. The state embarked on a systematic effort of renaming and remaking the landscape, and the Arab presence was all but erased from official maps and histories. Israelis are familiar with the ruins, terraces, and orchards that mark these sites today—almost half are located within tourist areas or national parks—but public descriptions rarely acknowledge that Arab communities existed there within living memory or describe how they came to be depopulated. Using official archives, kibbutz publications, and visits to the former village sites, Noga Kadman has reconstructed this history of erasure for all 418 depopulated villages.
The historic phenomenon of pilgrimage is experiencing a resurgence around the world. A journey resulting from religious causes, it not only provides a spiritual experience, but also one of new environments, cultures and peoples, and is often undertaken as a guided tour. Yet pilgrimage as a mode of tourism has been little investigated. This book adds considerably to our knowledge by focusing on one specific pilgrimage voyage - that to the Holy Land during times of security crisis there. In doing so, it examines this tourism journey in relation to constraints and high levels of risk experienced by the pilgrims. It explores both the behavioural aspects of undertaking pilgrimage to such an insecure situation and the impacts of such crisis on the host tourism infrastructure and industry. It therefore not only provides insights into pilgrimage as tourism - and into this particular country's experience - but also offers an integrative approach to tourism crisis management.
Describes and analyses the major developments in Iraq from the US-led invasion until 2010. This title provides an important external, international dimension to Iraq's post-war development through discussion of the central role played by the Iranian regime and its deep and multi-faceted involvement in the Iraqi internal scene.
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