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 |