Discrete and Computational Geometry, 2nd Edition

by Satyan L. Devadoss, Joseph O'Rourke

Overview

The essential introduction to discrete and computational geometry—now fully updated and expanded

Discrete and Computational Geometry bridges the theoretical world of discrete geometry with the applications-driven realm of computational geometry, offering a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. Beginning with polygons and ending with polyhedra, it explains how to capture the shape of data given by a set of points, from convex hulls and triangulations to Voronoi diagrams, geometric duality, chains, linkages, and alpha complexes. Connections to real-world applications are made throughout, and algorithms are presented independent of any programming language. Now fully updated and expanded, this richly illustrated textbook is an invaluable learning tool for students in mathematics, computer science, engineering, and physics.

• Now with new sections on duality and on computational topology
• Project suggestions at the end of every chapter
• Covers traditional topics as well as new and advanced material
• Features numerous full-color illustrations, exercises, and fully updated unsolved problems
• Uniquely designed for a one-semester class
• Accessible to college sophomores with minimal background
• Also suitable for more advanced students
• Online solutions manual (available to instructors)

Product Details

ISBN-13:	9780691266206
Publisher:	Princeton University Press
Publication date:	07/08/2025
Pages:	280
Product dimensions:	7.00(w) x 10.00(h) x (d)

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. He is the author (with Matthew Harvey) of Mage Merlin’s Unsolved Mathematical Mysteries. He is a Fellow of the American Mathematical Society and recipient of two national teaching awards from the Mathematical Association of America. Joseph O’Rourke is the Olin Professor of Computer Science and Professor of Mathematics (Emeritus) at Smith College. His books include How to Fold It: The Mathematics of Linkages, Origami, and Polyhedra. He was the chair of the first Symposium on Computational Geometry, the premier conference in the field.

What People are Saying About This

From the Publisher

“[Discrete and Computational Geometry] meets an urgent need for an undergraduate text bridging the theoretical sides and the applied sides of the field. It is an excellent choice as a textbook for an undergraduate course in discrete and computational geometry! The presented material should be accessible for most mathematics or computer science majors in their second or third year in college. The book also is a valuable resource for graduate students and researchers.”—Egon Schulte, Zentralblatt MATH

“We recommend this book for an undergraduate course on computational geometry. In fact, we hope to use this book ourselves when we teach such a class.”—Brittany Terese Fasy and David L. Millman, SIGACT News