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Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts) free ebook download

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Mathematics

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Author(s):	Giancarlo Travaglini

Date:	2014-08-11	Format:	PDF	Language:	English	ISBN/ASIN:	1107619858
Pages:	248	OCR:		Quality:		ISBN13:	9781107619852
Uploader:	alex21s	Upload Date:	11/25/2017 5:19:25 PM

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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.

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Tags: Analysis Discrepancy Fourier Geometric London Mathematical Number Society Student Texts

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Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics