Frederick W. Gehring, Kari Hag, Norwegian University of Science and Technology, Trondheim, Norway

...This text on quasidisks provides a cross section of the plane quasiconformal theory and demonstrates the many ways in which these mappings are related to analysis, topology, geometry and other parts of mathematics. The exposition is very clear and the text is richly illustrated with carefully drawn pictures. This book would be an excellent choice for a first book on plane quasiconformal maps for a graduate student. It is also a valuable source of inspiration for researchers of complex analysis, because the material covers many topics of current interest. It is my guess that this book will be an instant classic in its field." - Matti Vuorinen (Turku), Zentralblatt MATH

• PrefacePart I. Properties of quasidisksPreliminariesGeometric propertiesConformal invariantsInjectivity criteriaCriteria for extensionTwo-sided criteriaMiscellaneous propertiesPart II. Some proofs of these propertiesFirst series of implicationsSecond series of implicationsThird series of implicationsFourth series of implicationsBibliographyIndex

Frederick W. Gehring, Kari Hag, Norwegian University of Science and Technology, Trondheim, Norway

...This text on quasidisks provides a cross section of the plane quasiconformal theory and demonstrates the many ways in which these mappings are related to analysis, topology, geometry and other parts of mathematics. The exposition is very clear and the text is richly illustrated with carefully drawn pictures. This book would be an excellent choice for a first book on plane quasiconformal maps for a graduate student. It is also a valuable source of inspiration for researchers of complex analysis, because the material covers many topics of current interest. It is my guess that this book will be an instant classic in its field." - Matti Vuorinen (Turku), Zentralblatt MATH

• PrefacePart I. Properties of quasidisksPreliminariesGeometric propertiesConformal invariantsInjectivity criteriaCriteria for extensionTwo-sided criteriaMiscellaneous propertiesPart II. Some proofs of these propertiesFirst series of implicationsSecond series of implicationsThird series of implicationsFourth series of implicationsBibliographyIndex

Frederick W. Gehring, Kari Hag, Norwegian University of Science and Technology, Trondheim, Norway

...This text on quasidisks provides a cross section of the plane quasiconformal theory and demonstrates the many ways in which these mappings are related to analysis, topology, geometry and other parts of mathematics. The exposition is very clear and the text is richly illustrated with carefully drawn pictures. This book would be an excellent choice for a first book on plane quasiconformal maps for a graduate student. It is also a valuable source of inspiration for researchers of complex analysis, because the material covers many topics of current interest. It is my guess that this book will be an instant classic in its field." - Matti Vuorinen (Turku), Zentralblatt MATH

• PrefacePart I. Properties of quasidisksPreliminariesGeometric propertiesConformal invariantsInjectivity criteriaCriteria for extensionTwo-sided criteriaMiscellaneous propertiesPart II. Some proofs of these propertiesFirst series of implicationsSecond series of implicationsThird series of implicationsFourth series of implicationsBibliographyIndex