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Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics, 18) by Jiří Matoušek (auth.) is a nonfiction available to read on EtoBox.

What is Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics, 18) about?

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 sectio

Who reads Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics, 18)?

Author

Jiří Matoušek (auth.)

Publisher

Springer-Verlag Berlin Heidelberg

Published

1999

Language

EN

ISBN

9783642039416

Category

nonfiction

Subjects

Mathematics, Stem