Analysis of Boolean Functions,Used

Analysis of Boolean Functions,Used

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SKU: SONG1107038324
Brand: Cambridge University Press
Condition: Used
$182.92
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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 GoldreichLevin algorithm from cryptography/learning theory, Hstad's NPhardness 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 onesemester graduate course. It should appeal to advanced undergraduates, graduate students, and researchers in computer science theory and related mathematical fields.

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