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Satyan L. Devadoss

Discrete and Computational Geometry, 2nd Edition Hardcover – July 8 2025

by Satyan L. Devadoss (Author), Joseph O'Rourke (Author)

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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)

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ISBN-10

0691266204
ISBN-13

978-0691266206
Edition

2nd
Publisher

Princeton University Press
Publication date

July 8 2025
Language

English
Dimensions

19.05 x 2.54 x 26.04 cm
Print length

280 pages

See all details

Product description

Review

“[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

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.

Product details

Publisher ‏ : ‎ Princeton University Press
Publication date ‏ : ‎ July 8 2025
Edition ‏ : ‎ 2nd
Language ‏ : ‎ English
Print length ‏ : ‎ 280 pages
ISBN-10 ‏ : ‎ 0691266204
ISBN-13 ‏ : ‎ 978-0691266206
Item weight ‏ : ‎ 748 g
Dimensions ‏ : ‎ 19.05 x 2.54 x 26.04 cm
�鶹�� Rank: #166,551 in Books (See Top 100 in Books)
- #8 in Analytic Geometry & Topology
- #21 in Discrete Mathematics (Books)
- #35 in Geometry Textbooks

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Satyan L. Devadoss

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Satyan Linus Devadoss is the Fletcher Jones Professor of Applied Mathematics and Professor of Computer Science at the University of San Diego. Before landing in the west coast, he was a professor of mathematics at Williams College for nearly 15 years, along with holding visiting positions at Stanford, Ohio State, Mathematical Sciences Research Institute, Harvey Mudd, Université Nice, and University of California, Berkeley.

An inaugural Fellow of the American Mathematical Society, and recipient of two national teaching awards from the Mathematical Association of America, he has a deep passion to make timeless mathematics timely: from building a 2-ton sculpture for Burning Man, to analyzing the genetics of beer, to painting the cartography of unsolved mathematics. His works and thoughts have appeared in venues such as NPR, the Times of London, the Washington Post, and Forbes, with support over the years from the National Science Foundation, the Mellon Foundation, the John Templeton Foundation, and the Department of Defense.

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