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Item Details
| Title:
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COMBINATORIAL GEOMETRY AND ITS ALGORITHMIC APPLICATIONS
THE ALCALA LECTURES |
| By: |
Janos Pach, Micha Sharir |
| Format: |
Hardback |
| List price:
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£113.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821846914 |
| ISBN 13: |
9780821846919 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 November, 2008 |
| Series: |
Mathematical Surveys and Monographs v. 152 |
| Pages: |
235 |
| Description: |
Presents a survey of several core areas of combinatorial geometry. This book 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. |
| 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. |
| Illustrations: |
Illustrations |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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