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Conformally invariant metrics and qu...

Hariri, Parisa.

Conformally invariant metrics and quasiconformal mappings

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Conformally invariant metrics and quasiconformal mappingsby Parisa Hariri, Riku Klen, Matti Vuorinen.
作者:	Hariri, Parisa.
其他作者:	Klen, Riku.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xix, 502 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Quasiconformal mappings.
電子資源:	https://doi.org/10.1007/978-3-030-32068-3
ISBN:	9783030320683$q(electronic bk.)

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$q(electronic bk.)

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

338129
Quasiconformal mappings.

LC Class. No.: QA360 / .H357 2020

Dewey Class. No.: 511.326

Conformally invariant metrics and quasiconformal mappings
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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.
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