東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ subject:"Differential Geometry." ]

切換: 標籤 | MARC模式 | ISBD

Conformally invariant metrics and qu...

Hariri, Parisa.

FindBook

Google Book

Amazon

博客來

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 mappings/ by 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.
內容註:	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
標題:	Quasiconformal mappings. -
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 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
LDR:02409nmm a2200337 a 4500 001 2217925
003 DE-He213
005 20200818170114.0
006 m d
007 cr nn 008maaau
008 201120s2020 sz s 0 eng d
020 $a 9783030320683 $q (electronic bk.)
020 $a 9783030320676 $q (paper)
024 7 $a 10.1007/978-3-030-32068-3 $2 doi
035 $a 978-3-030-32068-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA360 $b .H357 2020
072 7 $a PBWL $2 bicssc
072 7 $a MAT033000 $2 bisacsh
072 7 $a PBWL $2 thema
082 0 4 $a 511.326 $2 23
090 $a QA360 $b .H282 2020
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)