Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics) [Hardcover]

Jiri Matousek (Author)

Book Description

ISBN-10: 354065528X | ISBN-13: 978-3540655282 | Publication Date: July 15, 1999 | Edition: 1

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.

Editorial Reviews

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)

From the Back Cover

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.). From the reviews: "...The numerous illustrations are well placed and instructive. The clear and elegant exposition conveys a wealth of intuitive insights into the techniques utilized. Each section usually consists of text, historical remarks and references for the specialist, and exercises. Hints are provided for the more difficult exercises, with the exercise-hint format permitting inclusion of more results than otherwise would be possible in a book of this size..." Allen D. Rogers, Mathematical Reviews Clippings (2001)  

Product Details

• Hardcover: 288 pages
• Publisher: Springer; 1 edition (July 15, 1999)
• Language: English
• ISBN-10: 354065528X
• ISBN-13: 978-3540655282
• Product Dimensions: 9.5 x 6.2 x 0.9 inches
• Shipping Weight: 15.2 ounces (View shipping rates and policies)
• Amazon Best Sellers Rank: #3,543,226 in Books (See Top 100 in Books)

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