Higher order Fourier analysis (Record no. 67014)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01905nam a2200229 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781470425883 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.2433 |
| Item number | TAO/H |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Tao, Terence |
| 245 10 - TITLE STATEMENT | |
| Title | Higher order Fourier analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Rhode Island |
| Name of publisher | American mathematical society |
| Year of publication | 2012 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | x, 187 p. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics ; |
| 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. 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 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Fourier analysis |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Dynamical systems and ergodic theory -- Ergodic theory -- Relations with number theory and harmonic analysis. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Number theory -- Connections with logic -- Ultraproducts. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Number theory -- Exponential sums and character sums -- Estimates on exponential sums. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BK |
| 001 - CONTROL NUMBER | |
| control field | 17414662 |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2012023442 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | |
| Damaged status | |
| Collection code | Home library | Shelving location | Date acquired | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|
| Stack | Kannur University Central Library | Stack | 22/06/2023 | 515.2433 TAO/H | 59775 | BK |