Geometric Discrepancy: An Illustrated Guide: 18 (Algorithms and Combinatorics, 18) - Hardcover

Hardcover

ISBN 10: 354065528X ISBN 13: 9783540655282

Publisher: Springer, 1999

Synopsis

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.).

About this title

Product Description:

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? This book is an accessible and lively introduction to the area of geometric discrepancy theory, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research.

Review:

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)

About this edition

• Publisher: Springer
• Publication date: 1999
• ISBN 10: 354065528X
• ISBN 13: 9783540655282
• Binding: Hardcover
• Number of pages: 300
• Editor: Matousek Jiri