Lectures On Quasiconformal Mappings
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Lectures On Quasiconformal Mappings
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Author : Lars Valerian Ahlfors
language : en
Publisher: American Mathematical Soc.
Release Date : 2006-07-14
Lectures On Quasiconformal Mappings written by Lars Valerian Ahlfors and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-14 with Mathematics categories.
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
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Author : Lars Valerian Ahlfors
language : en
Publisher:
Release Date : 1966
Lectures On Quasiconformal Mappings written by Lars Valerian Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Quasiconformal mappings categories.
Lectures On Quasiconformal Mappings
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Author : Frederick W. Gehring
language : en
Publisher:
Release Date : 1975
Lectures On Quasiconformal Mappings written by Frederick W. Gehring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Quasiconformal mappings categories.
Lectures On Quasiconformal Mappings
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Author : Lars V. Ahlfors
language : en
Publisher:
Release Date : 1960
Lectures On Quasiconformal Mappings written by Lars V. Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
Lectures On N Dimensional Quasiconformal Mappings
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Author : Jussi Väisälä
language : en
Publisher: Springer
Release Date : 2006-11-15
Lectures On N Dimensional Quasiconformal Mappings written by Jussi Väisälä and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Quasiconformal Mappings And Analysis
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Author : Peter Duren
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quasiconformal Mappings And Analysis written by Peter Duren and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
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Author : J. Krzyz
language : en
Publisher: Springer
Release Date : 2006-11-15
Quasiconformal Mappings In The Plane written by J. Krzyz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Lectures On Riemann Surfaces Proceedings Of The College On Riemann Surfaces
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Author : Maurizio Cornalba
language : en
Publisher: World Scientific
Release Date : 1989-06-01
Lectures On Riemann Surfaces Proceedings Of The College On Riemann Surfaces written by Maurizio Cornalba and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-06-01 with Mathematics categories.
N Dimensional Quasiconformal Qcf Mappings
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Author : Petru Caraman
language : en
Publisher: CRC Press
Release Date : 1974
N Dimensional Quasiconformal Qcf Mappings written by Petru Caraman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Lectures On Analysis On Metric Spaces
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Author : Juha Heinonen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Analysis On Metric Spaces written by Juha Heinonen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus. In particular, there have been important advances in understanding the infinitesimal versus global behavior of Lipschitz functions and quasiconformal mappings in rather general settings; abstract Sobolev space theories have been instrumental in this development. The purpose of this book is to communicate some of the recent work in the area while preparing the reader to study more substantial, related articles. 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 relatively recent and appears for the first time in book format. There are plenty of exercises. The book is well suited for self-study, or as a text in a graduate course or seminar. The material is relevant to anyone who is interested in analysis and geometry in nonsmooth settings.