This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical two-dimensional problem of O. Teichmuller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the two-dimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems.
Product Identifiers
Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540193425
eBay Product ID (ePID)
96334090
Product Key Features
Author
Matti Vuorinen
Publication Name
Conformal Geometry and Quasiregular Mappings
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
1988
Type
Textbook
Number of Pages
214 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
1319
Item Weight
750g
Additional Product Features
Title_Author
Matti Vuorinen
Series Title
Lecture Notes in Mathematics
Country/Region of Manufacture
Germany
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