Lectures on Quasiconformal Mappings

Lectures on Quasiconformal Mappings PDF Author: Lars Valerian Ahlfors
Publisher: American Mathematical Soc.
ISBN: 0821836447
Category : Mathematics
Languages : en
Pages : 178

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Book Description
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.

Lectures on Quasiconformal Mappings

Lectures on Quasiconformal Mappings PDF Author: Lars Valerian Ahlfors
Publisher: American Mathematical Soc.
ISBN: 0821836447
Category : Mathematics
Languages : en
Pages : 178

Get Book Here

Book Description
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.

Lectures on Quasiconformal Mappings

Lectures on Quasiconformal Mappings PDF Author: Frederick W. Gehring
Publisher:
ISBN:
Category : Quasiconformal mappings
Languages : en
Pages : 128

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Book Description


Lectures on n-Dimensional Quasiconformal Mappings

Lectures on n-Dimensional Quasiconformal Mappings PDF Author: Jussi Väisälä
Publisher: Springer
ISBN: 3540369376
Category : Mathematics
Languages : en
Pages : 157

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Book Description


Quasiconformal Maps and Teichmüller Theory

Quasiconformal Maps and Teichmüller Theory PDF Author: Alastair Fletcher
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 208

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Quasiconformal Mappings and Analysis

Quasiconformal Mappings and Analysis PDF Author: Peter Duren
Publisher: Springer Science & Business Media
ISBN: 1461206057
Category : Mathematics
Languages : en
Pages : 379

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Book Description
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.

Quasiconformal Mappings in the Plane

Quasiconformal Mappings in the Plane PDF Author: J. Krzyz
Publisher: Springer
ISBN: 3540394648
Category : Mathematics
Languages : en
Pages : 185

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Book Description


N-Dimensional Quasiconformal (QCf) Mappings

N-Dimensional Quasiconformal (QCf) Mappings PDF Author: Petru Caraman
Publisher: CRC Press
ISBN: 9780856260056
Category : Mathematics
Languages : en
Pages : 554

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Book Description


Lectures On Riemann Surfaces - Proceedings Of The College On Riemann Surfaces

Lectures On Riemann Surfaces - Proceedings Of The College On Riemann Surfaces PDF Author: Maurizio Cornalba
Publisher: World Scientific
ISBN: 9814590878
Category : Mathematics
Languages : en
Pages : 716

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Book Description


Lectures on Analysis on Metric Spaces

Lectures on Analysis on Metric Spaces PDF Author: Juha Heinonen
Publisher: Springer Science & Business Media
ISBN: 1461301319
Category : Mathematics
Languages : en
Pages : 149

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Book Description
The purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be roughly divided into three different types: classical, standard but sometimes with a new twist, and recent. The author first studies basic covering theorems and their applications to analysis in metric measure spaces. This is followed by a discussion on Sobolev spaces emphasizing principles that are valid in larger contexts. The last few sections of the book present a basic theory of quasisymmetric maps between metric spaces. Much of the material is recent and appears for the first time in book format.

Five Lectures in Complex Analysis

Five Lectures in Complex Analysis PDF Author: Contreras Márquez Contreras
Publisher: American Mathematical Soc.
ISBN: 0821848097
Category : Mathematics
Languages : en
Pages : 177

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Book Description
This volume contains state-of-art survey papers in complex analysis based on lectures given at the second Winter School on Complex Analysis and Operator Theory held in February 2008 at the University of Sevilla, Sevilla, Spain. --