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Conformally invariant metrics and qu...

Hariri, Parisa.

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Conformally invariant metrics and quasiconformal mappings

Record Type:	Electronic resources : Monograph/item
Title/Author:	Conformally invariant metrics and quasiconformal mappings/ by Parisa Hariri, Riku Klen, Matti Vuorinen.
Author:	Hariri, Parisa.
other author:	Klen, Riku.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xix, 502 p. :ill., digital ;24 cm.
[NT 15003449]:	Part I: Introduction and Review -- Introduction -- A Survey of QuasiregularMappings -- Part II: Conformal Geometry -- Mobius Transformations -- Hyperbolic Geometry -- Generalized Hyperbolic Geometries -- Metrics and Geometry -- Part III: Modulus and Capacity -- The Modulus of a Curve Family -- The Modulus as a Set Function -- The Capacity of a Condenser -- Conformal Invariants -- Part IV: Intrinsic Geometry -- Hyperbolic Type Metrics -- Comparison of Metrics -- Local Convexity of Balls -- Inclusion Results for Balls -- Part V: QuasiregularMappings -- Basic Properties of QuasiregularMappings -- Distortion Theory -- Dimension-Free Theory -- Metrics and Maps -- Teichmuller's Displacement Problem -- Part VI: Solutions -- Solutions to Exercises.
Contained By:	Springer eBooks
Subject:	Quasiconformal mappings. -
Online resource:	https://doi.org/10.1007/978-3-030-32068-3
ISBN:	9783030320683

Conformally invariant metrics and quasiconformal mappings
Hariri, Parisa.

Conformally invariant metrics and quasiconformal mappings[electronic resource] /by Parisa Hariri, Riku Klen, Matti Vuorinen. - Cham :Springer International Publishing :2020. - xix, 502 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

Part I: Introduction and Review -- Introduction -- A Survey of QuasiregularMappings -- Part II: Conformal Geometry -- Mobius Transformations -- Hyperbolic Geometry -- Generalized Hyperbolic Geometries -- Metrics and Geometry -- Part III: Modulus and Capacity -- The Modulus of a Curve Family -- The Modulus as a Set Function -- The Capacity of a Condenser -- Conformal Invariants -- Part IV: Intrinsic Geometry -- Hyperbolic Type Metrics -- Comparison of Metrics -- Local Convexity of Balls -- Inclusion Results for Balls -- Part V: QuasiregularMappings -- Basic Properties of QuasiregularMappings -- Distortion Theory -- Dimension-Free Theory -- Metrics and Maps -- Teichmuller's Displacement Problem -- Part VI: Solutions -- Solutions to Exercises.

This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2) There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.

ISBN: 9783030320683

Standard No.: 10.1007/978-3-030-32068-3doiSubjects--Topical Terms:

706149
Quasiconformal mappings.

LC Class. No.: QA360 / .H357 2020

Dewey Class. No.: 511.326

Conformally invariant metrics and quasiconformal mappings
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100 1 $a Hariri, Parisa. $3 3451555
245 1 0 $a Conformally invariant metrics and quasiconformal mappings $h [electronic resource] / $c by Parisa Hariri, Riku Klen, Matti Vuorinen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xix, 502 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a Part I: Introduction and Review -- Introduction -- A Survey of QuasiregularMappings -- Part II: Conformal Geometry -- Mobius Transformations -- Hyperbolic Geometry -- Generalized Hyperbolic Geometries -- Metrics and Geometry -- Part III: Modulus and Capacity -- The Modulus of a Curve Family -- The Modulus as a Set Function -- The Capacity of a Condenser -- Conformal Invariants -- Part IV: Intrinsic Geometry -- Hyperbolic Type Metrics -- Comparison of Metrics -- Local Convexity of Balls -- Inclusion Results for Balls -- Part V: QuasiregularMappings -- Basic Properties of QuasiregularMappings -- Distortion Theory -- Dimension-Free Theory -- Metrics and Maps -- Teichmuller's Displacement Problem -- Part VI: Solutions -- Solutions to Exercises.
520 $a This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2) There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.
650 0 $a Quasiconformal mappings. $3 706149
650 1 4 $a Potential Theory. $3 893956
650 2 4 $a Differential Geometry. $3 891003
700 1 $a Klen, Riku. $3 3451556
700 1 $a Vuorinen, Matti. $3 935088
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer monographs in mathematics. $3 1535313
856 4 0 $u https://doi.org/10.1007/978-3-030-32068-3
950 $a Mathematics and Statistics (Springer-11649)