Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in other areas of mathematics, including combinatorics, statistical physics, and mathematical social choice. The field of analysis of Boolean functions seeks to understand them via their Fourier transform and other analytic methods. This text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry. Each chapter includes a "highlight application" such as Arrow's theorem from economics, the Goldreich-Levin algorithm from cryptography/learning theory, Håstad's NP-hardness of approximation results, and "sharp threshold" theorems for random graph properties. The book includes roughly 450 exercises and can be used as the basis of a one-semester graduate course. It should appeal to advanced undergraduates, graduate students, and researchers in computer science theory and related mathematical fields.
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This graduate-level text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry. Each chapter includes a "highlight application" such as Arrow's theorem, the Goldreich-Levin algorithm, hardness of approximation, and "sharp threshold" theorems for random graphs.
About the Author:Ryan O'Donnell is an Associate Professor in the Computer Science Department at Carnegie Mellon University.
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1. Analysis of Boolean Functions
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Cambridge University Press 2014-06-05, Cambridge
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2. Analysis of Boolean Functions (Hardback)
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CAMBRIDGE UNIVERSITY PRESS, United Kingdom
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2014. Hardback. Estado de conservación: New. Language: English . Brand New Book. Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in other areas of mathematics, including combinatorics, statistical physics, and mathematical social choice. The field of analysis of Boolean functions seeks to understand them via their Fourier transform and other analytic methods. This text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry. Each chapter includes a highlight application such as Arrow s theorem from economics, the Goldreich-Levin algorithm from cryptography/learning theory, Hastad s NP-hardness of approximation results, and sharp threshold theorems for random graph properties. The book includes roughly 450 exercises and can be used as the basis of a one-semester graduate course. It should appeal to advanced undergraduates, graduate students and researchers in computer science theory and related mathematical fields. Nº de ref. de la librería AAU9781107038325
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3. Analysis of Boolean Functions
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Descripción Cambridge University Press, 2014. Estado de conservación: New. This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics. Num Pages: 444 pages, 13 b/w illus. 450 exercises. BIC Classification: UMB. Category: (U) Tertiary Education (US: College). Dimension: 237 x 156 x 29. Weight in Grams: 780. . 2014. 1st Edition. Hardcover. . . . . . Nº de ref. de la librería V9781107038325
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4. Analysis of Boolean Functions (Hardback)
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CAMBRIDGE UNIVERSITY PRESS, United Kingdom
(2014)
ISBN 10: 1107038324
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2014. Hardback. Estado de conservación: New. Language: English . Brand New Book. Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in other areas of mathematics, including combinatorics, statistical physics, and mathematical social choice. The field of analysis of Boolean functions seeks to understand them via their Fourier transform and other analytic methods. This text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry. Each chapter includes a highlight application such as Arrow s theorem from economics, the Goldreich-Levin algorithm from cryptography/learning theory, Hastad s NP-hardness of approximation results, and sharp threshold theorems for random graph properties. The book includes roughly 450 exercises and can be used as the basis of a one-semester graduate course. It should appeal to advanced undergraduates, graduate students and researchers in computer science theory and related mathematical fields. Nº de ref. de la librería AAU9781107038325
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5. Analysis of Boolean Functions
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Descripción Cambridge University Press, 2014. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería BB-9781107038325
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6. Analysis of Boolean Functions
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7. Analysis of Boolean Functions
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Descripción Cambridge University Press. Estado de conservación: New. This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics. Num Pages: 444 pages, 13 b/w illus. 450 exercises. BIC Classification: UMB. Category: (U) Tertiary Education (US: College). Dimension: 237 x 156 x 29. Weight in Grams: 780. . 2014. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9781107038325
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8. Analysis of Boolean Functions
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9. Analysis of Boolean Functions
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