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Analysis of Boolean Functions

Ryan O'Donnell




[PDF.hy49] Analysis of Boolean Functions

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 | #1145051 in Books |  2014-06-05 | Original language:English | PDF # 1 |  8.98 x.98 x5.98l,1.68 | File type: PDF | 444 pages

||3 of 3 people found the following review helpful.| An excellent exposition of Fourier analysis of Boolean functions|By JF Sebastian|This book is mostly concerned with Fourier analysis of functions of the form f:{0,1}^n-->{0,1}, known as Boolean functions. These functions play a very important role in theoretical computer science and combinatorics. They are simple, elegant and yet they're expressive enough to capture most proble| |'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 cryptographe

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 ...

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