國立虎尾科技大學 |

Conformally Invariant Metrics and Quasiconformal Mappings

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Conformally Invariant Metrics and Quasiconformal Mappings/ by Parisa Hariri, Riku Klén, Matti Vuorinen.
作者:	Hariri, Parisa.
其他作者:	Vuorinen, Matti.
面頁冊數:	XIX, 502 p. 56 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential Geometry. -
電子資源:	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 Klén, Matti Vuorinen. - 1st ed. 2020. - XIX, 502 p. 56 illus.online resource. - Springer Monographs in Mathematics,1439-7382. - Springer Monographs in Mathematics,.

Part I: Introduction and Review -- Introduction -- A Survey of QuasiregularMappings -- Part II: Conformal Geometry -- Möbius 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 -- Teichmüller’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:

671118
Differential Geometry.

LC Class. No.: QA404.7-405

Dewey Class. No.: 515.96

Conformally Invariant Metrics and Quasiconformal Mappings
LDR:02790nam a22004095i 4500 001 1026582
003 DE-He213
005 20200706050608.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030320683 $9 978-3-030-32068-3
024 7 $a 10.1007/978-3-030-32068-3 $2 doi
035 $a 978-3-030-32068-3
050 4 $a QA404.7-405
072 7 $a PBWL $2 bicssc
072 7 $a MAT033000 $2 bisacsh
072 7 $a PBWL $2 thema
082 0 4 $a 515.96 $2 23
100 1 $a Hariri, Parisa. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1322906
245 1 0 $a Conformally Invariant Metrics and Quasiconformal Mappings $h [electronic resource] / $c by Parisa Hariri, Riku Klén, Matti Vuorinen.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a XIX, 502 p. 56 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 -- Möbius 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 -- Teichmüller’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 2 4 $a Differential Geometry. $3 671118
650 1 4 $a Potential Theory. $3 672266
650 0 $a Differential geometry. $3 882213
650 0 $a Potential theory (Mathematics). $3 1255004
700 1 $a Vuorinen, Matti. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1322908
700 1 $a Klén, Riku. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1322907
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030320676
776 0 8 $i Printed edition: $z 9783030320690
776 0 8 $i Printed edition: $z 9783030320706
830 0 $a Springer Monographs in Mathematics, $x 1439-7382 $3 1254272
856 4 0 $u https://doi.org/10.1007/978-3-030-32068-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)