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The Probabilistic Method

The Probabilistic Method 
Tekijä(t)  

Julkaisija  John Wiley and Sons, Inc.
Julkaisuvuosi  2008
Kieli  en
Painos  3
Julkaisijan yksikkö  Wiley-Interscience
Sarja  Wiley-Interscience Series in Discrete Mathematics and Optimization
Sivumäärä  384 sivua
Luokka  Diskreetti matematiikka
Hinta  124,90 €

     ISBN 9780470277317
     ISBN 9781118210444
 
 
DRM-rajoitukset
Tulostus  115 sivua ja lisä sivu kertyy joka 7. tunti, ylärajana 115 sivua
Kopioi leikepöydälle  19 poimintoa
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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