Conformal Geometry and Quasiregular Mappings is popular PDF and ePub book, written by Matti Vuorinen in 2006-11-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Conformal Geometry and Quasiregular Mappings can be Read Online from any device for your convenience.
Conformal Geometry and Quasiregular Mappings Book PDF Summary
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. Teichmüller. 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.
Detail Book of Conformal Geometry and Quasiregular Mappings PDF
- Author : Matti Vuorinen
- Release : 15 November 2006
- Publisher : Springer
- ISBN : 9783540392071
- Genre : Mathematics
- Total Page : 228 pages
- Language : English
- PDF File Size : 18,8 Mb
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