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Die probabilistisc
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eBay-Artikelnr.:126345494213
Artikelmerkmale
- Artikelzustand
- Book Title
- The Probabilistic Method (Wiley Series in Discrete Mathematics an
- ISBN
- 9780471370468
Über dieses Produkt
Product Identifiers
Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471370460
ISBN-13
9780471370468
eBay Product ID (ePID)
392740
Product Key Features
Number of Pages
328 Pages
Language
English
Publication Name
Probabilistic Method
Subject
Probability & Statistics / General, Discrete Mathematics
Publication Year
2000
Features
Revised
Type
Textbook
Subject Area
Mathematics
Series
Wiley Series in Discrete Mathematics and Optimization Ser.
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
20.7 Oz
Item Length
9.6 in
Item Width
6.5 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
00-033011
TitleLeading
The
Reviews
"...an exciting well-written book which will give much enjoyment to a reader..." ( Mathematical Reviews , 2003f)
Dewey Edition
22
Series Volume Number
57
Illustrated
Yes
Dewey Decimal
511/.6
Edition Description
Revised edition
Table Of Content
METHODS.The Basic Method.Linearity of Expectation.Alterations.The Second Moment.The Local Lemma.Correlation Inequalities.Martingales and Tight Concentration.The Poisson Paradigm.Pseudo-Randomness.TOPICS.Random Graphs.Circuit Complexity.Discrepancy.Geometry.Codes, Games and Entropy.Derandomization.Appendices.Indexes.References.
Synopsis
The leading reference on probabilistic methods in combinatorics-now expanded and updatedWhen 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 resultsA continuous approach to discrete probabilistic problemsTalagrand's Inequality and other novel concentration resultsA discussion of the connection between discrepancy and VC-dimensionSeveral combinatorial applications of the entropy function and its propertiesA new section on the life and work of Paul Erdös-the developer of the probabilistic method, Initiated by Paul Erdos, the probabilistic method allows us to prove the existence of a combinatorial structure with certain properties by constructing an appropriate probability space and showing that a randomly chosen element in this space has the desired properties with positive probability., 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 Erdos-the developer of the probabilistic method, 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
LC Classification Number
QA164.A46 2000
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