000			02597nam a22003738i 4500
001			CR9780511755149
003			UkCbUP
005			20200124160218.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100422s2006||||enk o ||1 0|eng|d
020			_a9780511755149 (ebook)
020			_z9780521853866 (hardback)
020			_z9780521136563 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA164 _b.T35 2006
082	0	0	_a511/.6 _222
100	1		_aTao, Terence, _d1975- _eauthor.
245	1	0	_aAdditive combinatorics / _cTerence Tao and Van H. Vu.
264		1	_aCambridge : _bCambridge University Press, _c2006.
300			_a1 online resource (xviii, 512 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v105
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aThe probabilistic method -- Sum set estimates -- Additive geometry -- Fourier analytic methods -- Inverse sumset theorems -- Graph theoretic methods -- The Littlewood-Offord problem -- Incidence geometry -- Algebraic methods -- Szemeredi's theorem for k = 3 -- Szemeredi's theorem for k> 3 -- Long arithmetic progressions in sumsets.
520			_aAdditive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.
650		0	_aAdditive combinatorics.
700	1		_aVu, Van, _d1970- _eauthor.
776	0	8	_iPrint version: _z9780521853866
830		0	_aCambridge studies in advanced mathematics ; _v105.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511755149
999			_c516521 _d516519