Introduction to Circle Packing: The Theory of Discrete Analytic Functions (Hardcover) (ISBN-13: 9780521823562)

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.

Author: Kenneth Stephenson
ISBN-10: 0521823560
ISBN-13: 9780521823562
Publisher: Cambridge University Press
Language: English
Published: 04/18/2005
Pages: 370
Format: Hardcover
Weight: 2.19lbs
Size: 10.34h x 7.18w x 1.02d