Geometric Discrepancy : An Illustrated Guide

Language: English

Published by J.B. Metzler, 2009

3642039413 / 9783642039416

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nach der Bestellung gedruckt Neuware - Printed after ordering - Discrepancy theory is also called the theory of irregularities of distribution. Here are some typical questions: What is the 'most uniform' way of dis tributing n points in the unit square How big is the 'irregularity' necessarily present in any such distribution For a precise formulation of these questions, we must quantify the irregularity of a given distribution, and discrepancy is a numerical parameter of a point set serving this purpose. Such questions were first tackled in the thirties, with a motivation com ing from number theory. A more or less satisfactory solution of the basic discrepancy problem in the plane was completed in the late sixties, and the analogous higher-dimensional problem is far from solved even today. In the meantime, discrepancy theory blossomed into a field of remarkable breadth and diversity. There are subfields closely connected to the original number theoretic roots of discrepancy theory, areas related to Ramsey theory and to hypergraphs, and also results supporting eminently practical methods and algorithms for numerical integration and similar tasks. The applications in clude financial calculations, computer graphics, and computational physics, just to name a few. This book is an introductory textbook on discrepancy theory. It should be accessible to early graduate students of mathematics or theoretical computer science. At the same time, about half of the book consists of material that up until now was only available in original research papers or in various surveys. …

Seller Inventory # 9783642039416

Title
Geometric Discrepancy : An Illustrated Guide
Author
Jiri Matousek
Publisher
J.B. Metzler
Publication year
2009
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642039413
ISBN 13
9783642039416
Item weight
464 grams
Dimensions
235x155x17 mm

AHA-BUCH GmbH

Einbeck, Germany

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