Higher order fourier analysis (Record no. 28894)

000 -LEADER
fixed length control field nam a22 7a 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180212b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470425883
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.2433
Item number TAO
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Tao, Terence
245 ## - TITLE STATEMENT
Title Higher order fourier analysis
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Rhode Island,
Place of publication, distribution, etc American Mathematical Society:
Date of publication, distribution, etc 2012
300 ## - PHYSICAL DESCRIPTION
Extent x, 187 p.
Dimensions 24 cm.
365 ## - TRADE PRICE
Price type code INR
Price amount 990.00
520 ## - SUMMARY, ETC.
Summary, etc Traditional Fourier analysis, which has been remarkably effective in many contexts, uses linear phase functions to study functions. Some questions, such as problems involving arithmetic progressions, naturally lead to the use of quadratic or higher order phases. Higher order Fourier analysis is a subject that has become very active only recently. Gowers, in groundbreaking work, developed many of the basic concepts of this theory in order to give a new, quantitative proof of Szemerédi's theorem on arithmetic progressions. However, there are also precursors to this theory in Weyl's classical theory of equidistribution, as well as in Furstenberg's structural theory of dynamical systems. This book, which is the first monograph in this area, aims to cover all of these topics in a unified manner, as well as to survey some of the most recent developments, such as the application of the theory to count linear patterns in primes. The book serves as an introduction to the field, giving the beginning graduate student in the subject a high-level overview of the field. The text focuses on the simplest illustrative examples of key results, serving as a companion to the existing literature on the subject. There are numerous exercises with which to test one's knowledge"
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Number theory
Topical term or geographic name as entry element Estimates on exponential sums
Topical term or geographic name as entry element Fourier analysis
Topical term or geographic name as entry element Dynamical systems
Topical term or geographic name as entry element Ergodic theory
Topical term or geographic name as entry element Harmonic analysis
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Permanent location Current location Date acquired Total Checkouts Full call number Barcode Date last seen Date last borrowed Koha item type
          DAIICT DAIICT 2018-02-12 1 515.2433 TAO 031103 2018-12-15 2018-05-21 Books

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