Quasiconformal Mappings And Riemann Surfaces
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Quasiconformal Mappings And Riemann Surfaces
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Author : Samuil Leĭbovich Krushkalʹ
language : en
Publisher: Winston Publishing
Release Date : 1979
Quasiconformal Mappings And Riemann Surfaces written by Samuil Leĭbovich Krushkalʹ and has been published by Winston Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Quasiconformal Mappings And Riemann Surfaces
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Author : Samuil Leĭbovich Krushkalʹ
language : en
Publisher: Winston Publishing
Release Date : 1979
Quasiconformal Mappings And Riemann Surfaces written by Samuil Leĭbovich Krushkalʹ and has been published by Winston Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 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 And Complex Dynamics
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Author : Luis T. Magalhães
language : en
Publisher: Springer Nature
Release Date : 2025-06-10
Quasiconformal Mappings In The Plane And Complex Dynamics written by Luis T. Magalhães and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-10 with Mathematics categories.
This book comprehensively explores the foundations of quasiconformal mappings in the complex plane, especially in view of applications to complex dynamics. Besides playing a crucial role in dynamical systems these mappings have important applications in complex analysis, geometry, topology, potential theory and partial differential equations, functional analysis and calculus of variations, electrostatics and nonlinear elasticity . The work covers standard material suitable for a one-year graduate-level course and extends to more advanced topics, in an accessible way even for students in an initial phase of university studies who have learned the basics of complex analysis at the usual level of a rigorous first one-semester course on the subject. At the frontier of complex analysis with real analysis, quasiconformal mappings appeared in 1859-60 in the cartography work of A. Tissot, well before the term “quasiconformal” was coined by L. Ahlfors in 1935. The detailed study of these mappings began in 1928 by H. Grötzsch, and L. Ahlfors’ seminal work published in 1935 significantly contributed to their development and was considered for awarding him the Fields Medal in 1936. The theory further evolved in 1937 and 1939 with O. Teichmüller’s contributions, and subsequent advancements are partially covered in this book. Organized into ten chapters with eight appendices, this work aims to provide an accessible, self-contained approach to the subject and includes examples at various levels and extensive applications to holomorphic dynamics. Throughout the text, historical notes contextualize advancements over time. A sequel to the author’s previous book, ‘Complex Analysis and Dynamics in One Variable with Applications,’ also published by Springer, this volume might be suitable for students in mathematics, physics, or engineering. A solid background in basic mathematical analysis is recommended to fully benefit from its content.
Complex Manifolds
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Author : Steven Bell
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-12-11
Complex Manifolds written by Steven Bell 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 1997-12-11 with Mathematics categories.
The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a guide to the many mathematical ideas related to its theme.
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 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.
Quasiconformal Mappings And Riemann Surfaces Kvazikonformnye Otobra Enija I Rimanovy Poverchnosti Engl Von Samuel L Krushkal
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Author : Samuil Lejbovič Kruškal'
language : en
Publisher:
Release Date : 1979
Quasiconformal Mappings And Riemann Surfaces Kvazikonformnye Otobra Enija I Rimanovy Poverchnosti Engl Von Samuel L Krushkal written by Samuil Lejbovič Kruškal' and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Quasiconformal Mappings Riemann Surfaces And Teichmuller Spaces
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Author : Yunping Jiang
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Quasiconformal Mappings Riemann Surfaces And Teichmuller Spaces written by Yunping Jiang 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 2012 with Mathematics categories.
This volume contains the proceedings of the AMS Special Session on Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces, held in honor of Clifford J. Earle, from October 2-3, 2010, in Syracuse, New York. This volume includes a wide range of papers on Teichmuller theory and related areas. It provides a broad survey of the present state of research and the applications of quasiconformal mappings, Riemann surfaces, complex dynamical systems, Teichmuller theory, and geometric function theory. The papers in this volume reflect the directions of research in different aspects of these fields and also give the reader an idea of how Teichmuller theory intersects with other areas of mathematics.
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.