Description
Book SynopsisOffers 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.
Trade ReviewGMP 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 MATHTable of Contents
- Introduction
- Topology and analysis
- Conformal mappings in Euclidean space
- The moduli of curve families
- Rings and condensers
- Quasiconformal mappings
- Mapping problems
- The Tukia-Vaisala extension theorem
- The Mostow rigidity theorem and discrete Mobius groups
- Basic notation
- Bibliography
- Index
