Discrete and Computational Geometry

Joseph O'Rourke

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ISBN 10: 0691145539 ISBN 13: 9780691145532

Published by Princeton University Press, 2011

Language: English

Condition: New Hardcover

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Bibliographic Details

Title

Discrete and Computational Geometry

Publisher

Princeton University Press

Publication Date

2011

Language

English

ISBN 10

0691145539

ISBN 13

9780691145532

Binding

HRD

Condition

New

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About this title

Synopsis

An essential introduction to discrete and computational geometry

Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.

This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincar� conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems.

The essential introduction to discrete and computational geometry
Covers traditional topics as well as new and advanced material
Features numerous full-color illustrations, exercises, and unsolved problems
Suitable for sophomores in mathematics, computer science, engineering, or physics
Rigorous but accessible
An online solutions manual is available (for teachers only)

About the Author

Satyan L. Devadoss is the Fletcher Jones Professor of Applied Mathematics and Professor of Computer Science at the University of San Diego. Joseph O'Rourke is the Olin Professor of Computer Science and professor of mathematics at Smith College. His books include Geometric Folding Algorithms: Linkages, Origami, Polyhedra.

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