Электронная книга: Noga Alon «The Probabilistic Method»

The Probabilistic Method

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 isan 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 haswritten more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.

Издательство: "John Wiley&Sons Limited"

ISBN: 9781119061960

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Noga Alon

Noga Alon

Noga Alon
Born 1956
Nationality Israeli
Fields Mathematics
Theoretical computer science
Institutions Tel-Aviv University
Institute for Advanced Study
Microsoft Research, Herzeliya
Alma mater Hebrew University of Jerusalem
Doctoral advisor M. Perles
Doctoral students Yossi Azar
Uri Zwick
Michael Krivelevich
Benny Sudakov
Known for Combinatorial Nullstellensatz
Notable awards Israel Prize in Mathematics (2008)

Noga Alon (born 1956) (Hebrew: נוגה אלון‎) is an Israeli mathematician noted for his contributions to combinatorics and theoretical computer science, having authored hundreds of papers.


Academic background

Alon is a Baumritter Professor of Mathematics and Computer Science in Tel Aviv University, Israel. He received his Ph. D. in Mathematics at the Hebrew University of Jerusalem in 1983 and had visiting positions in various research institutes including MIT, The Institute for Advanced Study in Princeton, IBM Almaden Research Center, Bell Laboratories, Bellcore and Microsoft Research. He serves on the editorial boards of more than a dozen international journals, since 2008 he is the editor-in-chief of Random Structures and Algorithms. He has given lectures in many conferences, including plenary addresses in the 1996 European Congress of Mathematics and in the 2002 International Congress of Mathematicians, and a lecture in the 1990 International Congress of Mathematicians. He published more than four hundred research papers, mostly in Combinatorics and in Theoretical Computer Science, and one book.

Alon is the principal founder of the Combinatorial Nullstellensatz which has many applications in combinatorics and number theory.


Alon has received a number of awards, including the following:

  • the Erdős Prize in 1989;
  • the Feher prize in 1991;
  • the Pólya Prize in 2000;
  • the Bruno Memorial Award in 2001;
  • the Landau Prize in 2005;
  • the Gödel Prize in 2005;
  • the Israel Prize, for mathematics, in 2008[1][2]; and
  • the EMET Prize, for mathematics, in 2011.

In addition, Alon has been a member of the Israel Academy of Sciences and Humanities since 1997.

See also


External links

Источник: Noga Alon

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