000 | 03126nam a22004815i 4500 | ||
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001 | 978-3-540-39207-1 | ||
003 | DE-He213 | ||
005 | 20190213151840.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1988 gw | s |||| 0|eng d | ||
020 |
_a9783540392071 _9978-3-540-39207-1 |
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024 | 7 |
_a10.1007/BFb0077904 _2doi |
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050 | 4 | _aQA404.7-405 | |
072 | 7 |
_aPBWL _2bicssc |
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072 | 7 |
_aMAT033000 _2bisacsh |
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072 | 7 |
_aPBWL _2thema |
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082 | 0 | 4 |
_a515.96 _223 |
100 | 1 |
_aVuorinen, Matti. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aConformal Geometry and Quasiregular Mappings _h[electronic resource] / _cby Matti Vuorinen. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1988. |
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300 |
_aXXII, 214 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1319 |
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505 | 0 | _aConformal geometry -- Modulus and capacity -- Quasiregular mappings -- Boundary behavior. | |
520 | _aThis 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. | ||
650 | 0 | _aPotential theory (Mathematics). | |
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aPotential Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12163 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662192122 |
776 | 0 | 8 |
_iPrinted edition: _z9783540193425 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1319 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0077904 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
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