Computing In Euclidean Geometry

Frank Hwang

ISBN 10: 9810209665 / ISBN 13: 9789810209667

Published by World Scientific Publishing Co Pte Ltd, SG, 1992

About this Item

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.

Seller Inventory # LU-9789810209667

Bibliographic Details

• Title: Computing In Euclidean Geometry
• Publisher: World Scientific Publishing Co Pte Ltd, SG
• Publication Date: 1992
• Language: English
• ISBN 10: 9810209665
• ISBN 13: 9789810209667
• Binding: Hardback
• Edition: 2nd ed.
• Condition: New

About this title

Synopsis

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.

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