Quasiconformal Mappings and Analysis

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 057/5 ( reviews)

Quasiconformal Mappings and Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quasiconformal Mappings and Analysis write by Peter Duren. This book was released on 2012-12-06. Quasiconformal Mappings and Analysis available in PDF, EPUB and Kindle. In honor of Frederick W. Gehring on the occasion of his 70th birthday, an international conference on ""Quasiconformal mappings and analysis"" was held in Ann Arbor in August 1995. The 9 main speakers of the conference (Astala, Earle, Jones, Kra, Lehto, Martin, Pommerenke, Sullivan, and Vaisala) provide broad expository articles on various aspects of quasiconformal mappings and their relations to other areas of analysis. 12 other distinguished mathematicians contribute articles to this volume.

Conference on Applications of Numerical Analysis; Held in Dundee/Scotland, March 23-26, 1971

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Release : 1971
Genre : Conformal mapping
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Book Rating : 487/5 ( reviews)

Conference on Applications of Numerical Analysis; Held in Dundee/Scotland, March 23-26, 1971 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Conference on Applications of Numerical Analysis; Held in Dundee/Scotland, March 23-26, 1971 write by Jussi Väisälä. This book was released on 1971. Conference on Applications of Numerical Analysis; Held in Dundee/Scotland, March 23-26, 1971 available in PDF, EPUB and Kindle.

Lectures on Quasiconformal Mappings

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Release : 2006-07-14
Genre : Mathematics
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Book Rating : 447/5 ( reviews)

Lectures on Quasiconformal Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Quasiconformal Mappings write by Lars Valerian Ahlfors. This book was released on 2006-07-14. Lectures on Quasiconformal Mappings available in PDF, EPUB and Kindle. Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a self-contained treatment of the Beltrami equation, and cover the basic properties of Teichmuller spaces, including the Bers embedding and the Teichmuller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmuller spaces from these lecture notes. This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmuller spaces and provides many references to the vast literature on Teichmuller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3-manifolds. Together, these three new chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings.

Moduli of Families of Curves for Conformal and Quasiconformal Mappings

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

Moduli of Families of Curves for Conformal and Quasiconformal Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moduli of Families of Curves for Conformal and Quasiconformal Mappings write by Alexander Vasil'ev. This book was released on 2004-10-19. Moduli of Families of Curves for Conformal and Quasiconformal Mappings available in PDF, EPUB and Kindle. 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.

Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

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Release : 2020-08-15
Genre : Mathematics
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Book Rating : 933/5 ( reviews)

Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics write by Vesna Todorčević. This book was released on 2020-08-15. Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics available in PDF, EPUB and Kindle. 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.