Introduction to Circle Packing: The Theory of Discrete Analytic Functions - Kenneth Stephenson (2005)
ISBN 0521823560
Subject Analytic functions; Circle packing; Discrete geometry
Publisher Cambridge University Press
Publication Date 4/18/2005
Format Hardcover (257 x 183 mm)
Language eng
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.
Personal Details
Collection Status In Collection
Index 1130
Read It Yes
Links Amazon US
Product Details
LoC Classification QA640.7.S74 2005
Dewey 516/.11
Cover Price $60.00
No. of Pages 368