Number Theory, Fourier Analysis and Geometric Discrepancy - Couverture souple

Travaglini, Giancarlo

 
9781107619852: Number Theory, Fourier Analysis and Geometric Discrepancy
Couverture souple
ISBN 10 : 1107619858 ISBN 13 : 9781107619852
Editeur : Cambridge University Press, 2014

Synopsis

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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À propos de l?auteur

Giancarlo Travaglini is Professor of Mathematics at the University of Milano-Bicocca. He is the author of numerous research papers and several books in the areas of abstract harmonic analysis, Fourier analysis and discrepancy theory. He is a member of the Unione Matematica Italiana and the American Mathematical Society. His current mathematical interests include Fourier analysis, discrepancy theory, radon transforms and didactics of mathematics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2014
Langue
anglais
ISBN 10 
1107619858
ISBN 13 
9781107619852
Reliure
Broché
Nombre de pages
252
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9781107044036: Number Theory, Fourier Analysis and Geometric Discrepancy

Edition présentée

ISBN 10 :  1107044030 ISBN 13 :  9781107044036
Editeur : Cambridge University Press, 2014
Couverture rigide