Analysis of Boolean Functions Book Reviews

Analysis of Boolean Functions by Ryan O'Donnell Book Summary

Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in digital-only 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 digital-only 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.

👋 Do you love Analysis of Boolean Functions books? Please share your friends!

Analysis of Boolean Functions (Ryan O'Donnell) Book Reviews 2024

Ryan O'Donnell - Analysis of Boolean Functions Discussions & Comments

Have you read this book yet? What do you think about Analysis of Boolean Functions by Ryan O'Donnell book? Ask the bookpedia.co community a question about Analysis of Boolean Functions!