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000 cam a
001 2210080787854
005 20150331101234
007 ta
008 150331s2014 nyu b 001 0 eng d
010 a2013050033
020 a9781107038325 (hardback : acid-free paper)
020 a9781107471542 (paperback)
035 a(KERIS)BIB000013577728
040 aDLCbengerdacDLCdDLCd211046d221008
042 apcc
082 a004.0151222
100 aO'Donnell, Ryan,d1979-
245 00 aAnalysis of boolean functions /cRyan O'Donnell.
260 aNew York, NY :bCambridge University Press,c2014.
300 axx, 423 p. ;c23 cm.
336 atext2rdacontent
337 aunmediated2rdamedia
338 avolume2rdacarrier
504 aIncludes bibliographical references and index.
520 a"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"--cProvided by publisher.
650 aComputer sciencexMathematics.
650 aAlgebra, Boolean.
650 aCOMPUTERS / General.2bisacsh
950 0 bUSD70.00
Analysis of boolean functions
종류
단행본 서양서
서명
Analysis of boolean functions
저자명
발행사항
New York, NY : Cambridge University Press 2014.
형태사항
xx, 423 p ; 23 cm.
주기사항
Includes bibliographical references and index. / "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"

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