Discrete and Computational Geometry (Hardcover)

Satyan L. Devadoss

ISBN 10: 0691145539 / ISBN 13: 9780691145532

Published by Princeton University Press, New Jersey, 2011

About this Item

Hardcover. 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 Poincare 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). To obtain access, please e-mail: Offers a comprehensive introduction to discrete geometry. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as subjects like pseudotriangulations, curve reconstruction, and locked chains. It is suitable for sophomores in mathematics, computer science, engineering, or physics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780691145532

Bibliographic Details

Title: Discrete and Computational Geometry (...

Publisher: Princeton University Press, New Jersey

Publication Date: 2011

Binding: Hardcover

Condition: new

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 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 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.