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Geometric discrepancy : an illustrated guide

Author: Jiří Matoušek
Publisher: Berlin ; New York : Springer, ©1999.
Series: Algorithms and combinatorics, 18.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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. Including a wide variety of mathematical techniques (from harmonic analysis, combinatorics, algebra, and so on) in action on nontrivial examples, the book is suitable for a "special topic" course for early  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jiří Matoušek
ISBN: 354065528X 9783540655282 9783642039416 3642039413
OCLC Number: 41315340
Description: x, 288 pages : illustrations ; 25 cm.
Contents: 1. Introduction --
2. Low-Discrepancy Sets for Axis-Parallel Boxes --
3. Upper Bounds in the Lebesgue-Measure Setting --
4. Combinatorial Discrepancy --
5. VC-Dimension and Discrepancy --
6. Lower Bounds --
7. More Lower Bounds and the Fourier Transform.
Series Title: Algorithms and combinatorics, 18.
Responsibility: Jiří Matoušek.
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Abstract:

What is the "most uniform" way of distributing n points in the unit square? This book is an accessible and lively introduction to the area of geometric discrepancy theory, with numerous exercises and  Read more...

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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, Read more...

 
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