The Probabilistic Method

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9780470170205: 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 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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Noga Alon and Joel H. Spencer
Editore: John Wiley & Sons (2008)
ISBN 10: 0470170204 ISBN 13: 9780470170205
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Descrizione libro John Wiley & Sons, 2008. Condizione libro: Brand New. Brand New Hardcover Textbook is still wrapped MINT in the plastic. Ship from Multiple Locations, including Malaysia, Singapore, and Thailand. Shipping should take from 3-4 business days within US, Canada, UK, and other EU countries, 2-3 business days within Australia, Japan, and Singapore; for faster processing time, please choose to ship with Expedite. Thank you for looking![0205JW TheProbabiMethod]. Codice libro della libreria 978047017020588

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Noga Alon and Joel H. Spencer
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Descrizione libro John Wiley & Sons, 2008. Condizione libro: Brand New. Brand New Hardcover Textbook is still wrapped MINT in the plastic. Ship from Multiple Locations, including Malaysia, Singapore, and Thailand. Shipping should take from 3-4 business days within US, Canada, UK, and other EU countries, 2-3 business days within Australia, Japan, and Singapore; for faster processing time, please choose to ship with Expedite. Thank you for looking![0205JW TheProbabiMethod]. Codice libro della libreria 978047017020588

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Descrizione libro Hoboken, New Jersey, U.S.A.: Wiley-Interscience, 2008. Hardcover. Condizione libro: New. Ship out in 24 hours,Brand new,US edition, (Express shipping worldwide)1-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia. Codice libro della libreria ABE-10800579687

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Descrizione libro John Wiley and Sons Ltd 2008-08-22, Hoboken, 2008. hardback. Condizione libro: New. Codice libro della libreria 9780470170205

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Descrizione libro Wiley-Interscience, 2008. Hardcover. Condizione libro: New. Codice libro della libreria P110470170204

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Descrizione libro Wiley-Interscience, 2008. Hardcover. Condizione libro: New. book. Codice libro della libreria 0470170204

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Descrizione libro Condizione libro: New. Publisher/Verlag: Wiley & Sons | Die hier beschriebene Erdos-Wahrscheinlichkeitsmethode erlaubt den Beweis der Existenz einer kombinatorischen Struktur mit bestimmen Eigenschaften. Dazu wird ein geeigneter Wahrscheinlichkeitsraum konstruiert und gezeigt, daß ein zufällig ausgewähltes Element dieses Raumes die gewünschten Eigenschaften mit positiver Wahrscheinlichkeit aufweist. - Diese 2. überarbeitete Auflage wird mit Sicherheit zum Standard-Nachschlagewerk der Wahrscheinlichkeitsmethoden in der Kombinatorik! (11/00) 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. | Dedication. Preface. Acknowledgments. PART I. METHODS. 1. The Basic Method. 1.1 The Probabilistic Method. 1.2 Graph Theory. 1.3 Combinatorics. 1.4 Combinatorial Number Theory. 1.5 Disjoint Pairs. 1.6 Exercises. The Probabilistic Lens: The Erd" osKoRado Theorem. 2. Linearity of Expectation. 2.1 Basics. 2.2 Splitting Graphs. 2.3 Two Quickies. 2.4 Balancing Vectors. 2.5 Unbalancing Lights. 2.6 Without Coin Flips. 2.7 Exercises. The Probabilistic Lens: Brégman s Theorem. 3. Alterations. 3.1 Ramsey Numbers. 3.2 Independent Sets. 3.3 Combinatorial Geometry. 3.4 Packing. 3.5 Recoloring. 3.6 Continuous Time. 3.7 Exercises. The Probabilistic Lens: High Girth and High Chromatic Number. 4. The Second Moment. 4.1 Basics. 4.2 Number Theory. 4.3 More Basics. 4.4 Random Graphs. 4.5 Clique Number. 4.6 Distinct Sums. 4.7 The Rödl Nibble. 4.8 Exercises. The Probabilistic Lens: Hamiltonian Paths. 5. The Local Lemma. 5.1 The Lemma. 5.2 Property B and Multicolored Sets of Real Numbers. 5.3 Lower Bounds for Ramsey Numbers. 5.4 A Geometric Result. 5.5 The Linear Arboricity of Graphs. 5.6 Latin Transversals. 5.7 The Algor. Codice libro della libreria K9780470170205

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Descrizione libro Wiley-Interscience, 2008. Hardcover. Condizione libro: Brand New. 3rd edition. 352 pages. 9.50x6.25x1.00 inches. In Stock. Codice libro della libreria zk0470170204

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