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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, first published in 2005, 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.
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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.
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Introduction to Circle Packing: The Theory of Discrete Analytic Functions
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Cambridge University Press, 2005
ISBN 10: 0521823560
ISBN 13: 9780521823562
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Introduction to Circle Packing - The theory of discrete analytic functions.
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Introduction To Circle Packing : The Theory of Discrete Analytic Functions
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Introduction to Circle Packing: The Theory of Discrete Analytic Functions
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ISBN 10: 0521823560
ISBN 13: 9780521823562
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Introduction to Circle Packing (Hardcover)
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ISBN 10: 0521823560
ISBN 13: 9780521823562
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Hardcover. Condition: new. Hardcover. 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. This book, first published in 2005, introduces a new mathematical topic known as 'circle packing', taking the reader from first definitions to late-breaking results. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521823562
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Introduction to Circle Packing: The Theory of Discrete Analytic Functions
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Introduction to Circle Packing: The Theory of Discrete Analytic Functions
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Introduction To Circle Packing : The Theory of Discrete Analytic Functions
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Introduction to Circle Packing: The Theory of Discrete Analytic Functions
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