Quasiregular Mappings

This book is an introduction to the theory of quasiregular mappings in real n-dimensional space, a new field of mathematical study that has emerged during the past 20 years. The exposition is self-contained and thus accessible to a wide readership. A broad spectrum of results of both analytic and geometric character are presented, and the methods vary accordingly. The main tools are the variational integral method and the extremal length method, both of which are thoroughly developed here. The author is noted as one of the developers of the theory of quasiregular mappings, particularly for his work in value distribution theory. Many of the topics treated here are published for the first time in book form.