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Overview"Discrepancy theory is also called the theory of irregularities of distribution. Here are some typical questions: What is the ""most uniform"" way of dis tributing n points in the unit square? How big is the ""irregularity"" necessarily present in any such distribution? For a precise formulation of these questions, we must quantify the irregularity of a given distribution, and discrepancy is a numerical parameter of a point set serving this purpose. Such questions were first tackled in the thirties, with a motivation com ing from number theory. A more or less satisfactory solution of the basic discrepancy problem in the plane was completed in the late sixties, and the analogous higher-dimensional problem is far from solved even today. In the meantime, discrepancy theory blossomed into a field of remarkable breadth and diversity. There are subfields closely connected to the original number theoretic roots of discrepancy theory, areas related to Ramsey theory and to hypergraphs, and also results supporting eminently practical methods and algorithms for numerical integration and similar tasks. The applications in clude financial calculations, computer graphics, and computational physics, just to name a few. This book is an introductory textbook on discrepancy theory. It should be accessible to early graduate students of mathematics or theoretical computer science. At the same time, about half of the book consists of material that up until now was only available in original research papers or in various surveys." Full Product DetailsAuthor: Jiri MatousekPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1st ed. 1999. 2nd printing 2009. Softcover reprint of the original 1st ed. 1999 Volume: 18 Dimensions: Width: 15.50cm , Height: 1.60cm , Length: 23.50cm Weight: 0.970kg ISBN: 9783642039416ISBN 10: 3642039413 Pages: 289 Publication Date: 15 December 2009 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsFrom 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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