Frederick W. Gehring, and Gaven J. Martin, Massey University, Auckland, New Zealand.Bruce P. Palka, National Science Foundation, Arlington, VA.

• IntroductionTopology and analysisConformal mappings in Euclidean spaceThe moduli of curve familiesRings and condensersQuasiconformal mappingsMapping problemsThe Tukia-Vaisala extension theoremThe Mostow rigidity theorem and discrete Mobius groupsBasic notationBibliographyIndex

GMP are to be commended for writing their monograph with a remarkable attention to detail...Readers keen to engage with the material could easily attempt to prove any of the results as exercises. I am confident that this book will very soon become a standard basic reference." — Tushar Das, MAA Reviews"The content of this book is precisely articulated while an inviting and, at times, conversational tone is maintained. This combination makes for a pleasant reading experience. The presentation of content is clearly organized and follows a natural progression of ideas." — David Matthew Freeman, Mathematical Reviews"[T]he book takes a wider approach to the modern theory of quasiconformal mappings and its applications than what is usual in more specialized books." — Olli Martio, Zentralblatt MATH