Introduction to Circle Packing: The Theory of Discrete Analytic Functions

Stephenson, Kenneth

ISBN 10: 0521823560 / ISBN 13: 9780521823562

Published by Cambridge University Press, 2005

About this Item

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Bibliographic Details

• Title: Introduction to Circle Packing: The Theory of Discrete Analytic Functions
• Publisher: Cambridge University Press
• Publication Date: 2005
• Language: English
• ISBN 10: 0521823560
• ISBN 13: 9780521823562
• Binding: hardcover
• Condition: Good

About this title

Synopsis

The topic of circle packing was born of the computer age but takes its inspiration and themes from core areas of classical mathematics. A circle packing is a configuration of circles having a specified pattern of tangencies, as introduced by William Thurston in 1985. This book lays out their study, from first definitions to latest theory, computations, and applications. The topic can be enjoyed for the visual appeal of the packing images - over 200 in the book - and the elegance of circle geometry, for the clean line of theory, for the deep connections to classical topics, or for the emerging applications. Circle packing has an experimental and visual character which is unique in pure mathematics, and the book exploits that to carry the reader from the very beginnings to links with complex analysis and Riemann surfaces. There are intriguing, often very accessible, open problems throughout the book and seven appendices on subtopics of independent interest. This book lays the foundation for a topic with wide appeal and a bright future.

About the Author

Kenneth Stephenson is Professor of Mathematics at the University of Tennessee in Knoxville, where he has established an active research program in complex function theory. He has had visiting positions at the University of Hawaii and Florida State University, and sabbatical appointments at the Open University and the University of Cambridge. Over the last fifteen years he has centered his research on circle packing. In this book he formulates circle packing as a discrete incarnation of classical analytic function theory.