Handbook of Discrete and Computational Geometry

by Jacob E. Goodman (Editor), Csaba D. Toth (Editor), Joseph O'Rourke (Editor)

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world―as researchers in mathematics and computer science―and in the professional world―as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook . A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.

Genres: Reference, Mathematics, Computer Science

1948 pages, Hardcover

First published July 15, 1997

About the author

Jacob Eli Goodman was a geometer and music composer. He was Professor Emeritus at the City College of New York. He and his collaborator, Richard M. Pollack, were known for developing problems in discrete geometry, specifically in the study of arrangements of pseudolines and oriented matroids. He and Pollack were the founding editors of the journal Discrete & Computational Geometry.

Goodman also developed the "pancake problem," which he published under the pseudonym Harry Dweighter. He co-edited the book "Handbook of Discrete and Computational Geometry."