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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Ryan O'Donnell is an Associate Professor in the Computer Science Department at Carnegie Mellon University.
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Hardcover. Condición: Sehr gut. 444 pp. Very well preserved copy 367 Sprache: Englisch Gewicht in Gramm: 754. Nº de ref. del artículo: 39867
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Condición: New. Print on Demand pp. 444 13 Illus. Nº de ref. del artículo: 94623135
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Condición: 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. hardcover. . . . . Nº de ref. del artículo: V9781107038325
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Hardback. Condición: New. 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. Nº de ref. del artículo: LU-9781107038325
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Hardback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Nº de ref. del artículo: C9781107038325
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