Discrete and Computational Geometry, 2nd Edition
Author: Satyan L. Devadoss (Author), Joseph O’Rourke (Author)
Publisher finelybook 出版社: Princeton University Press
Publication Date 出版日期: 2025-07-08
Language 语言: English
Print Length 页数: 280 pages
ISBN-10: 0691266204
ISBN-13: 9780691266206
Book Description
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)
Review
“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
