An Introduction to the Theory of Higher-Dimensional Quasiconf... - 9780821843604

An Introduction to the Theory of Higher-Dimensional Quasiconformal MappingsAuthor(s): Frederick W. Gehring, Gaven J. Martin, Bruce P. Palka\nFormat: Hardback\nPublisher: American Mathematical Society, United States\nImprint: American Mathematical Society\nISBN-13: 9780821843604, 978-0821843604\nSynopsis\nThis book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. It is a careful and detailed introduction to the higher-dimensional theory of quasiconformal mappings from the geometric viewpoint, based primarily on the technique of the conformal modulus of a curve family. Notably, the final chapter describes the application of quasiconformal mapping.