Analysis of Boolean Functions

Ryan O'Donnell

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Language: English

Published by Cambridge University Press, GB, 2014

1107038324 / 9781107038325

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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.…

Seller Inventory # LU-9781107038325

Title
Analysis of Boolean Functions
Author
Ryan O'Donnell
Publisher
Cambridge University Press, GB
Publication year
2014
Condition
New
Binding
Hardback
Language
English
ISBN 10
1107038324
ISBN 13
9781107038325
Item weight
760 grams
Dimensions
15.24 x 2.54 x 22.86 cm

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