Discrete and Computational Geometry PDF Download Ebook. Satyan L. Devadoss and Joseph O'Rourke cover traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains.
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. This text offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.
It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré 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 book offers essential introduction to discrete and computational geometry. It covers traditional topics as well as new and advanced material, features numerous full-color illustrations, exercises, and unsolved problems. It is suitable for sophomores in mathematics, computer science, engineering, or physics, rigorous but accessible.
This guide 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.
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