Geometric Discrepancy

An Illustrated Guide

Jiri Matousek

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Hardback

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English

Springer Verlag
01 June 1999

Mathematics & Sciences; Number theory

Series: Algorithms and Combinatorics

What is the ""most uniform"" way of distributing n points in the unit square? How big is the ""irregularity"" necessarily present in any such distribution? Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introduction to this area, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research. Including a wide variety of mathematical techniques (from harmonic analysis, combinatorics, algebra etc.) in action on non-trivial examples, the book is suitable for a ""special topic"" course for early graduates in mathematics and computer science. Besides professional mathematicians, it will be of interest to specialists in fields where a large collection of objects should be ""uniformly"" represented by a smaller sample (such as high-dimensional numerical integration in computational physics or financial mathematics, efficient divide-and-conquer algorithms in computer science, etc.).

Edited by: Jiri Matousek
Imprint: Springer Verlag
Country of Publication: Germany
Volume: v. 18
Dimensions: Height: 235mm, Width: 155mm, Spine: 19mm
Weight: 1.340kg
ISBN: 9783540655282
ISBN 10: 354065528X
Series: Algorithms and Combinatorics
Pages: 310
Publication Date: 01 June 1999
Audience: College/higher education , General/trade , Undergraduate , Further / Higher Education , ELT Advanced
Format: Hardback
Publisher's Status: Active

Reviews for Geometric Discrepancy: An Illustrated Guide

From the reviews: ""The book gives a very useful introduction to geometric discrepancy theory. The style is quite informal and lively which makes the book easily readable."" (Robert F. Tichy, Zentralblatt MATH, Vol. 1197, 2010)