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portada An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings
Type
Physical Book
Publisher
Author
Collection
Mathematical Surveys and Monographs
Year
2017
Language
English
Pages
430
Format
Hardcover
Dimensions
25.4x17.8 cm
ISBN13
9780821843604

An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings

Frederick W. Gehring;Gaven J. Martin;Bruce P. Palka (Author) · American Mathematical Society · Hardcover

An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings - Frederick W. Gehring;Gaven J. Martin;Bruce P. Palka

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215,15 €

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Synopsis "An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings"

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.

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.

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