Wow! eBook
Computing In Euclidean Geometry: 1 2nd ed. Edition
Author(s): Ding-zhu Du (Editor), Frank Kwang-ming Hwang
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication Date: 1 Sept. 1992
- Edition: 2nd ed.
- Language: English
- Print length: 400 pages
- ISBN-10: 9810209665
- ISBN-13: 9789810209667
Book Description
This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. The topics covered are: a history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra; triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and steiner trees. Each chapter is written by a leading expert in the field and together they provide a clear and authoritative picture of what computational Euclidean geometry is and the direction in which research is going.
Editorial Reviews
Review
“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
