Combinatorial Geometry and Its Algorithmic Applications: The Alcala Lectures (Mathematical Surveys and Monographs, 152, Band 152)

Pach, Janos:

ISBN 10: 0821846914 ISBN 13: 9780821846919

Published by TUT ENTERPRISES INC, 2009

Language: English

Condition: Used - Very good Hardcover

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235 Seiten; 9780821846919.3 Gewicht in Gramm: 1.

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Bibliographic Details

Title

Combinatorial Geometry and Its Algorithmic Applications: The Alcala Lectures (Mathematical Surveys and Monographs, 152, Band 152)

Publisher

TUT ENTERPRISES INC

Publication Date

2009

Language

English

ISBN 10

0821846914

ISBN 13

9780821846919

Binding

hardcover

Condition

Gut

Weight

1 gram

Seller catalogs

Varia

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Synopsis

Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them and their collaborators, this volume provides a comprehensive up-to-date survey of several core areas of combinatorial geometry. It describes the beginnings of the subject, going back to the nineteenth century (if not to Euclid), and explains why counting incidences and estimating the combinatorial complexity of various arrangements of geometric objects became the theoretical backbone of computational geometry in the 1980s and 1990s. The combinatorial techniques outlined in this book have found applications in many areas of computer science from graph drawing through hidden surface removal and motion planning to frequency allocation in cellular networks. Combinatorial Geometry and Its Algorithmic Applications is intended as a source book for professional mathematicians and computer scientists as well as for graduate students interested in combinatorics and geometry. Most chapters start with an attractive, simply formulated, but often difficult and only partially answered mathematical question, and describes the most efficient techniques developed for its solution. The text includes many challenging open problems, figures, and an extensive bibliography.

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