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Moduli of Families of Curves for Conformal and Quasiconformal Mappings

2004-10-19 Mathematics
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Release : 2004-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 373/5 ( reviews)

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Book Synopsis Moduli of Families of Curves for Conformal and Quasiconformal Mappings by : Alexander Vasil'ev

Download or read book Moduli of Families of Curves for Conformal and Quasiconformal Mappings written by Alexander Vasil'ev. This book was released on 2004-10-19. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmüller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmüller spaces.

Moduli of Families of Curves and Quasiconformal Mappings

1998
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Release : 1998
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Moduli of Families of Curves and Quasiconformal Mappings by : Alexander Vasil'ev

Download or read book Moduli of Families of Curves and Quasiconformal Mappings written by Alexander Vasil'ev. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Conformally Invariant Metrics and Quasiconformal Mappings

2020-04-11 Mathematics
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Release : 2020-04-11
Genre : Mathematics
Kind : eBook
Book Rating : 685/5 ( reviews)

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Book Synopsis Conformally Invariant Metrics and Quasiconformal Mappings by : Parisa Hariri

Download or read book Conformally Invariant Metrics and Quasiconformal Mappings written by Parisa Hariri. This book was released on 2020-04-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

2019-07-24 Mathematics
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Release : 2019-07-24
Genre : Mathematics
Kind : eBook
Book Rating : 917/5 ( reviews)

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Book Synopsis Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics by : Vesna Todorčević

Download or read book Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics written by Vesna Todorčević. This book was released on 2019-07-24. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar case. The book contains many concrete examples, as well as detailed proofs and explanations of motivations behind given results, gradually bringing the reader to the forefront of current research in the area. This monograph was written for a wide readership from graduate students of mathematical analysis to researchers working in this or related areas of mathematics who want to learn the tools or work on open problems listed in various parts of the book.

Encyclopaedia of Mathematics

2013-12-01 Mathematics
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Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 951/5 ( reviews)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt:

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