A Panorama of Discrepancy Theory
Author:   William Chen ,  Anand Srivastav ,  Giancarlo Travaglini
Publisher:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   2107
ISBN:  

9783319046952


Pages:   695
Publication Date:   20 October 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A Panorama of Discrepancy Theory


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Overview

This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and  Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory. Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.

Full Product Details

Author:   William Chen ,  Anand Srivastav ,  Giancarlo Travaglini
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   2107
Dimensions:   Width: 15.50cm , Height: 3.60cm , Length: 23.50cm
Weight:   1.080kg
ISBN:  

9783319046952


ISBN 10:   3319046950
Pages:   695
Publication Date:   20 October 2014
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Classical and Geometric Discrepancy.- Upper Bounds in Classical Discrepancy Theory.- Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections.- Irregularities of distribution and average decay of Fourier transforms.- Superirregularity.- Combinatorial Discrepancy.- Multicolor Discrepancy of Arithmetic Structures.- Algorithmic Aspects of Combinatorial Discrepancy.- Practical Algorithms for Low-Discrepancy 2-Colorings.- Applications and Constructions.- On the distribution of solutions to diophantine equations.- Discrepancy theory and quasi-Monte Carlo integration.- Calculation of Discrepancy Measures and Applications.- Author index.- Subject index

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