Conformal Mappings And Geometric Function Theory
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Conformal Maps And Geometry
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Author : Dmitry Beliaev
language : en
Publisher: World Scientific
Release Date : 2019-11-19
Conformal Maps And Geometry written by Dmitry Beliaev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-19 with Mathematics categories.
'I very much enjoyed reading this book … Each chapter comes with well thought-out exercises, solutions to which are given at the end of the chapter. Conformal Maps and Geometry presents key topics in geometric function theory and the theory of univalent functions, and also prepares the reader to progress to study the SLE. It succeeds admirably on both counts.'MathSciNetGeometric function theory is one of the most interesting parts of complex analysis, an area that has become increasingly relevant as a key feature in the theory of Schramm-Loewner evolution.Though Riemann mapping theorem is frequently explored, there are few texts that discuss general theory of univalent maps, conformal invariants, and Loewner evolution. This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry.It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. Conformal Maps and Geometry is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm-Loewner evolution.
Conformal Mappings And Geometric Function Theory
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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-07-28
Conformal Mappings And Geometric Function Theory written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-28 with Mathematics categories.
EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.
Handbook Of Complex Analysis
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Author : Reiner Kuhnau
language : en
Publisher: Elsevier
Release Date : 2004-12-09
Handbook Of Complex Analysis written by Reiner Kuhnau and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-09 with Mathematics categories.
Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).
Geometric Function Theory
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Author : Steven G. Krantz
language : en
Publisher: Springer Science & Business Media
Release Date : 2006
Geometric Function Theory written by Steven G. Krantz 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 2006 with Mathematics categories.
* Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations
Geometric Function Theory And Non Linear Analysis
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Author : Tadeusz Iwaniec
language : en
Publisher: Clarendon Press
Release Date : 2001
Geometric Function Theory And Non Linear Analysis written by Tadeusz Iwaniec and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Language Arts & Disciplines categories.
This unique book explores the connections between the geometry of mappings and many important areas of modern mathematics such as Harmonic and non-linear Analysis, the theory of Partial Differential Equations, Conformal Geometry and Topology. Much of the book is new. It aims to provide students and researchers in many areas with a comprehensive and up to date account and an overview of the subject as a whole.
Handbook Of Conformal Mappings And Applications
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Author : Prem K. Kythe
language : en
Publisher:
Release Date : 2024
Handbook Of Conformal Mappings And Applications written by Prem K. Kythe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Conformal mapping categories.
Harmonic Quasiconformal Mappings And Hyperbolic Type Metrics
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Author : Vesna Todorčević
language : en
Publisher: Springer
Release Date : 2019-07-24
Harmonic Quasiconformal Mappings And Hyperbolic Type Metrics written by Vesna Todorčević and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with Mathematics categories.
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.
Conformally Invariant Metrics And Quasiconformal Mappings
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Author : Parisa Hariri
language : en
Publisher: Springer Nature
Release Date : 2020-04-11
Conformally Invariant Metrics And Quasiconformal Mappings written by Parisa Hariri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-11 with Mathematics categories.
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.
The Enigma Unraveled A Voyage Into The Realm Of Quasiconformal Mappings
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-07
The Enigma Unraveled A Voyage Into The Realm Of Quasiconformal Mappings written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-07 with Mathematics categories.
Embark on an intellectual journey into the captivating world of quasiconformal mappings, where intricate functions unveil hidden symmetries and reveal profound connections between seemingly disparate domains. This comprehensive book invites you to explore the depths of this mesmerizing mathematical tapestry, unraveling its intricate patterns and uncovering its mesmerizing beauty. Delve into the historical roots of quasiconformal mappings, tracing their evolution from the early investigations of Riemann and Beltrami to the groundbreaking contributions of Ahlfors, Bers, and many other luminaries. Unravel the intricate mathematical framework that underpins quasiconformal mappings, delving into the depths of the Beltrami differential equation and uncovering the mysteries of the Teichmüller space. Discover the wealth of applications that span a diverse range of fields, from elasticity and fluid dynamics to electrical engineering and image processing. Witness the power of quasiconformal mappings in shaping the world around us, from the design of aircraft wings to the intricate patterns found in nature. Explore the advanced concepts and techniques that lie at the frontiers of quasiconformal mapping research. Unravel the connections between quasiconformal mappings and complex dynamics, geometric analysis, and topology, unveiling the deep and intricate interconnections that weave together different branches of mathematics. Throughout this intellectual odyssey, marvel at the elegance and beauty of quasiconformal mappings, appreciating their profound implications for our understanding of geometry, analysis, and the nature of space itself. The journey through the world of quasiconformal mappings promises to be an intellectually enriching and awe-inspiring experience, leaving you with a newfound appreciation for the power and beauty of mathematics. Suitable for both students and researchers, this book offers a comprehensive and accessible introduction to quasiconformal mappings, guiding readers through the intricacies of this captivating subject with clarity and rigor. With its in-depth exploration of fundamental concepts, wide-ranging applications, and advanced research topics, this book is an invaluable resource for anyone seeking to delve into the depths of quasiconformal mappings. If you like this book, write a review on google books!
Function Theory Of Several Complex Variables
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Author : Steven George Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Function Theory Of Several Complex Variables written by Steven George Krantz 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 2001 with Mathematics categories.
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.