This 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 theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background.
This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.
| ISBN: | 9780821843604 |
| Publication date: | 30th July 2017 |
| Author: | Frederick W Gehring, Gaven Martin, Bruce P Palka, American Mathematical Society |
| Publisher: | American Mathematical Society |
| Format: | Hardback |
| Pagination: | 430 pages |
| Series: | Mathematical Surveys and Monographs |
| Genres: |
Calculus and mathematical analysis |
This 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 theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background.
This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.
An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings features in the following genres: Calculus and mathematical analysis
An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings is available in Hardback
An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings was written by Frederick W Gehring, Gaven Martin, Bruce P Palka, American Mathematical Society and published by American Mathematical Society
An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings has 430 pages
Yes it is part of Mathematical Surveys and Monographs series
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