COMPUTING IN EUCLIDEAN GEOMETRY (Lecture Notes Computing)

"D-Z Du and F Hwang have put to rest an optimization problem known as the Steiner ratio conjecture. Their solution closes the book on a problem that had frustrated a generation of geometers, but it also writes the first chapter of a new volume. The key to Du and Hwang's successful attack on the conjecture is a new method that has potential for solving a raft of other optimization problems." Barry A Cipra SIAM News, USA "... the eight surveys are well organized. Each survey is preceded by a good introductory section with a rich bibliography. Both beginners and experts will benefit from this book." Jie Tian Mathematical Reviews "The papers are not just summaries; the authors present new material or fresh points of view ... I recommend the book to anyone who works in one of the areas surveyed or who is interested in the interaction of Euclidean geometry and computers." Carol Hazlewood IEEE Parallel & Distributed Technology