Analysis of Boolean Functions

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9781107038325: Analysis of Boolean Functions
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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.

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'The applications of the ideas in this book are plentiful and diverse, and O'Donnell does an excellent job of leading the reader from one viewpoint to the next. I found it especially enjoyable to see theorems that I'm personally familiar with as a cryptographer, such as the Goldreich–Levin theorem, placed alongside other things I didn't know as well, like Arrow's theorem from social choice - with everything woven into a single, consistent story. I suspect other 'fresh readers' will similarly find parts of this book that they recognize, and others they don't. The relationships exposed between these ideas should be of interest to everyone. Altogether, I highly recommend that you take a glance at Analysis of Boolean Functions.' Daniel Apon, SIGACT News

'This 423-page book is a rich source of material presented in an attractive form. Each chapter highlights one main result which provides a focus and incentive for the reader to go to the end of the chapter.' Martin C. Cooper, MathSciNet

Reseña del editor:

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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O'Donnell, Ryan
Publicado por Cambridge University Press (2014)
ISBN 10: 1107038324 ISBN 13: 9781107038325
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Descripción Cambridge University Press, 2014. 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. 1st Edition. Hardcover. . . . . . Nº de ref. del artículo: V9781107038325

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Descripción Cambridge University Press, 2014. HRD. Condición: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: IP-9781107038325

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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2014. Hardback. Condición: 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. del artículo: AAU9781107038325

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Ryan O Donnell
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2014. Hardback. Condición: 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. del artículo: AAU9781107038325

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Ryan O'Donnell
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Descripción Cambridge University Press 2014-05-07, Cambridge, 2014. hardback. Condición: New. Nº de ref. del artículo: 9781107038325

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Descripción Cambridge University Press. 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. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9781107038325

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Descripción Cambridge University Press, 2014. HRD. Condición: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. del artículo: BB-9781107038325

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Descripción Cambridge University Press, 2014. Condición: New. book. Nº de ref. del artículo: ria9781107038325_rkm

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Descripción Cambridge University Press, 2016. Paperback. Condición: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. del artículo: ria9781107038325_lsuk

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Descripción Cambridge Univ Pr, 2014. Hardcover. Condición: Brand New. 424 pages. 8.75x6.00x1.00 inches. In Stock. Nº de ref. del artículo: __1107038324

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