Name: Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts) (en Inglés)
Price: 598275.00 COP
Availability: InStock
Author: Giancarlo Travaglini
ISBN: 9781107044036

portada Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Giancarlo Travaglini

Año

2014

Idioma

Inglés

N° páginas

252

Encuadernación

Tapa Dura

ISBN13

9781107044036

N° edición

Categorías

Teoría de números

Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts) (en Inglés)

Giancarlo Travaglini (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts) (en Inglés)"

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.