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2008, ISBN: 9780470170205

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The Probabilistic Method - gebunden oder broschiert

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ISBN: 9780470170205

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Alon, Noga:
The Probabilistic Method - gebunden oder broschiert

2008, ISBN: 0470170204

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Details zum Buch
The Probabilistic Method

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.

Detailangaben zum Buch - The Probabilistic Method


EAN (ISBN-13): 9780470170205
ISBN (ISBN-10): 0470170204
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2008
Herausgeber: John Wiley & Sons
352 Seiten
Gewicht: 0,612 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2009-05-09T20:12:47+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-02-13T19:59:24+01:00 (Berlin)
ISBN/EAN: 0470170204

ISBN - alternative Schreibweisen:
0-470-17020-4, 978-0-470-17020-5
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: spencer, alon, courant, joel
Titel des Buches: edition, you know method, after method, the probabilistic method


Daten vom Verlag:

Autor/in: Noga Alon; Joel H. Spencer
Titel: Wiley-Interscience Series in Discrete Mathematics and Optimization; The Probabilistic Method
Verlag: John Wiley & Sons
376 Seiten
Erscheinungsjahr: 2008-08-22
Gewicht: 0,619 kg
Sprache: Englisch
149,00 € (DE)
Not available, replaced by new product
163mm x 237mm x 21mm

BB; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Kombinatorik; Probability & Mathematical Statistics; Mathematik; Diskrete Mathematik; Statistik; Statistics; Wahrscheinlichkeitsrechnung u. mathematische Statistik; Wahrscheinlichkeitsrechnung; Mathematics; Discrete Mathematics; Diskrete Mathematik; Wahrscheinlichkeitsrechnung u. mathematische Statistik

Dedication. Preface. Acknowledgments. PART I. METHODS. 1. The Basic Method. The Probabilistic Lens: The Erd" osKoRado Theorem. 2. Linearity of Expectation. The Probabilistic Lens: Brégman's Theorem. 3. Alterations. The Probabilistic Lens: High Girth and High Chromatic Number. 4. The Second Moment. The Probabilistic Lens: Hamiltonian Paths. 5. The Local Lemma. The Probabilistic Lens: Directed Cycles. 6. Correlation Inequalities. and Daykin. The Probabilistic Lens: Turán's Theorem. 7. Martingales and Tight Concentration. The Probabilistic Lens: Weierstrass Approximation Theorem. 8. The Poisson Paradigm. The Probabilistic Lens: Local Coloring. 9. Pseudorandomness. The Probabilistic Lens: Random Walks. PART II. TOPICS. 10 Random Graphs. The Probabilistic Lens: Counting Subgraphs. 11. The Erd" osR. 'enyi Phase Transition. The Probabilistic Lens: The Rich Get Richer. 12. Circuit Complexity. The Probabilistic Lens: Maximal Antichains. 13. Discrepancy. The Probabilistic Lens: Unbalancing Lights. 14. Geometry. The Probabilistic Lens: Efficient Packing. 15. Codes, Games and Entropy. The Probabilistic Lens: An Extremal Graph. 16. Derandomization. The Probabilistic Lens: Crossing Numbers, Incidences, Sums and Products. 17. Graph Property Testing. The Probabilistic Lens: Tur?an Numbers and Dependent Random Choice. Appendix A: Bounding of Large Deviations. The Probabilistic Lens: Trianglefree Graphs Have Large Independence Numbers. Appendix B: Paul Erd" os. References. Subject Index. Author Index.

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