Geometric Function Theory and Non-linear Analysis

'The book begins with an expertly written overview, which will be of value even to specialists in the field... authoritatively written by two of the leading figures in the field... contains a wealth of material... makes pleasant reading.' -Bulletin of the London Mathematical SocietyThis unique book explores the connections between the geometry of mappings and many important areas of modern mathematics such as harmonic and non-linear analysis, the theory of partial differential equations, conformal geometry and topology. The book contains much new material not published elsewhere and provides students and researchers in many areas with a comprehensive and up to date account of the subject as a whole.