000 02440nam a22003618i 4500
001 CR9781107358379
003 UkCbUP
005 20200124160219.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 141103s2014||||enk o ||1 0|eng|d
020 _a9781107358379 (ebook)
020 _z9781107044036 (hardback)
020 _z9781107619852 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA241
_b.T68 2014
082 0 0 _a512.7
_223
100 1 _aTravaglini, Giancarlo,
_eauthor.
245 1 0 _aNumber theory, Fourier analysis and geometric discrepancy /
_cGiancarlo Travaglini, Universitá di Milano-Bicocca.
246 3 _aNumber Theory, Fourier Analysis & Geometric Discrepancy
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (x, 240 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v81
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThe study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma-Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions.
650 0 _aNumber theory
_vTextbooks.
776 0 8 _iPrint version:
_z9781107044036
830 0 _aLondon Mathematical Society student texts ;
_v81.
856 4 0 _uhttps://doi.org/10.1017/CBO9781107358379
999 _c516541
_d516539