Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts, Series Number 81) - Softcover

Travaglini, Giancarlo

 
9781107619852: Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts, Series Number 81)
Softcover
ISBN 10: 1107619858 ISBN 13: 9781107619852
Publisher: 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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About the Author

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.

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Publisher
Cambridge University Press
Publication date
2014
Language
English
ISBN 10 
1107619858
ISBN 13 
9781107619852
Binding
Paperback
Edition number
1
Number of pages
248

Other Popular Editions of the Same Title

9781107044036: Number Theory, Fourier Analysis and Geometric Discrepancy (London Mathematical Society Student Texts, Series Number 81)

Featured Edition

ISBN 10:  1107044030 ISBN 13:  9781107044036
Publisher: Cambridge University Press, 2014
Hardcover