Probabilistic Method, The

Alon, Noga & Joel H. Spencer

ISBN 10: 0471370460 / ISBN 13: 9780471370468

Published by Wiley, 2000

About this Item

8vo, 301 pp. Previous owner name, otherwise Fine.

Seller Inventory # 8900

Bibliographic Details

• Title: Probabilistic Method, The
• Publisher: Wiley
• Publication Date: 2000
• Language: English
• ISBN 10: 0471370460
• ISBN 13: 9780471370468
• Binding: Boards
• Edition: 2nd Edition
• Condition: Near Fine
• Seller catalogs:
  • Mathematics

About this title

Synopsis

The leading reference on probabilistic methods in combinatorics-now expanded and updated

When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed on recent developments, while adding useful exercises and over 30% new material. It continues to emphasize the basic elements of the methodology, discussing in a remarkably clear and informal style both algorithmic and classical methods as well as modern applications.

The Probabilistic Method, Second Edition begins with basic techniques that use expectation and variance, as well as the more recent martingales and correlation inequalities, then explores areas where probabilistic techniques proved successful, including discrepancy and random graphs as well as cutting-edge topics in theoretical computer science. A series of proofs, or "probabilistic lenses," are interspersed throughout the book, offering added insight into the application of the probabilistic approach. New and revised coverage includes:
* Several improved as well as new results
* A continuous approach to discrete probabilistic problems
* Talagrand's Inequality and other novel concentration results
* A discussion of the connection between discrepancy and VC-dimension
* Several combinatorial applications of the entropy function and its properties
* A new section on the life and work of Paul Erdös-the developer of the probabilistic method

About the Author

NOGA ALON, PhD, is a Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and received the Erdös Prize in 1989, the Feher Prize in 1991, and the Polya Prize in 2000.

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 also a Sloane Foundation Fellow.