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Number Theory Fourier Analysis And Geometric Discrepancy London Mathematical Society Student Texts Series Number 81 1st Edition Giancarlo Travaglini

Name: Number Theory Fourier Analysis And Geometric Discrepancy London Mathematical Society Student Texts Series Number 81 1st Edition Giancarlo Travaglini
SKU: BELL-51992490
Price: 31.00 USD
Availability: InStock
Rating: 4.4 (52 reviews)

SKU: BELL-51992490

Number Theory Fourier Analysis And Geometric Discrepancy London Mathematical Society Student Texts Series Number 81 1st Edition Giancarlo Travaglini

$ 31.00 ~~$ 45.00~~ (-31%)

4.4

52 reviews

Number Theory Fourier Analysis And Geometric Discrepancy London Mathematical Society Student Texts Series Number 81 1st Edition Giancarlo Travaglini instant download after payment.

Publisher: Cambridge University Press

File Extension: PDF

File size: 1.5 MB

Pages: 252

Author: Giancarlo Travaglini

ISBN: 9781107044036, 1107044030

Language: English

Year: 2014

Edition: 1

Product desciption

Number Theory Fourier Analysis And Geometric Discrepancy London Mathematical Society Student Texts Series Number 81 1st Edition Giancarlo Travaglini by Giancarlo Travaglini 9781107044036, 1107044030 instant download after payment.

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.