10% off all books and free delivery over £50
Buy from our bookstore and 25% of the cover price will be given to a school of your choice to buy more books. *15% of eBooks.

Number Theory, Fourier Analysis and Geometric Discrepancy

View All Editions (2)

The selected edition of this book is not available to buy right now.
Add To Wishlist
Write A Review

About

Number Theory, Fourier Analysis and Geometric Discrepancy 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.

About This Edition

ISBN: 9781107619852
Publication date:
Author: Giancarlo Università degli Studi di MilanoBicocca Travaglini
Publisher: Cambridge University Press
Format: Paperback
Pagination: 248 pages
Series: London Mathematical Society Student Texts
Genres: Number theory
Functional analysis and transforms
Geometry