STEPHENSON, KENNETH - Introduction to Circle Packing. The Theory of Discrete Analytic Functions

Cambridge: Cambridge University Press, 2005. First Edition. Original boards. ISBN: 0963186477. With b/w & coloured illustrations. Light wear to spine, covers & corners. Slight wear to top spine dustjacket, otherwise light wear only. ; "Introduction to Circle Packing: The Theory of Discrete Analytic Functions" by Kenneth Stephenson explores the fascinating intersection of complex analysis, geometry, and graph theory through the lens of circle packing. This book introduces circle packing as a potential discrete analogue to classical analytic functions, offering a rigorous mathematical framework and a comprehensive introduction to the topic. Stephenson's work meticulously details how circle packing is used to approximate conformal mappings, which are transformations preserving angles at which curves meet. The book is structured to guide readers from basic concepts to advanced applications, illustrating the versatility and depth of circle packing in solving various mathematical problems. Stephenson not only provides theoretical insights but also includes practical algorithms, making it accessible for computational experiments and applications. The text serves both as a scholarly resource for mathematicians interested in discrete analytic functions and as an educational guide for students learning about this innovative approach to classical problems in complex analysis. Through detailed examples, illustrations, and explanations, Stephenson effectively demystifies the complex relationships between the geometry of circles and analytic functions, making it a pivotal read for enthusiasts of geometric function theory. ; Quarto; xii, 357 pages. Near Fine in Very Good dust jacket .

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