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Number theory, Fourier analysis and geometric discrepancy[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	512.7
書名/作者:	Number theory, Fourier analysis and geometric discrepancy/ Giancarlo Travaglini.
其他題名:	Number Theory, Fourier Analysis & Geometric Discrepancy
作者:	Travaglini, Giancarlo.
出版者:	Cambridge : : Cambridge University Press,, 2014.
面頁冊數:	x, 240 p. : : ill., digital ;; 24 cm.
標題:	Number theory
ISBN:	9781107358379
ISBN:	9781107044036
ISBN:	9781107619852
摘要、提要註:	The 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.
電子資源:	https://doi.org/10.1017/CBO9781107358379

Number theory, Fourier analysis and geometric discrepancy[electronic resource] /
Travaglini, Giancarlo.

Number theory, Fourier analysis and geometric discrepancy[electronic resource] /Number Theory, Fourier Analysis & Geometric DiscrepancyGiancarlo Travaglini. - Cambridge :Cambridge University Press,2014. - x, 240 p. :ill., digital ;24 cm. - London Mathematical Society student texts ;81. - London Mathematical Society student texts ;70..

The 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.

ISBN: 9781107358379Subjects--Topical Terms:

165814
Number theory

LC Class. No.: QA241 / .T68 2014

Dewey Class. No.: 512.7

Number theory, Fourier analysis and geometric discrepancy[electronic resource] /
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