About this product

Product Identifiers

PublisherOxford University Press, Incorporated

ISBN-100198569262

ISBN-139780198569268

eBay Product ID (ePID)56982234

Product Key Features

Number of Pages198 Pages

Publication NameQuasiconformal Maps and Teichmüller Theory

LanguageEnglish

Publication Year2006

SubjectGeneral, Transformations

TypeTextbook

Subject AreaMathematics

AuthorVladimir Markovic, Alastair Fletcher

SeriesOxford Graduate Texts in Mathematics Ser.

FormatHardcover

Dimensions

Item Height0.6 in

Item Weight15 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2007-295261

Dewey Edition22

Series Volume Number11

IllustratedYes

Dewey Decimal515.94

Table Of ContentPreface1: The Grötzch argument2: Geometric definition of quasiconformal maps3: Analytic properties of quasiconformal maps4: Quasi-isometries and quasisymmetric maps5: The Beltrami differential equation6: Holomorphic motions and applications7: Teichmüller spaces8: Extremal quasiconformal mappings9: Unique extremality10: Isomorphisms of Teichmüller space11: Local rigidity of Teichmüller spacesReferencesIndex

SynopsisBased on a series of graduate lectures given by Vladimir Markovic at the University of Warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and Teichmüller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Grötzch argument, analytical properties of quasiconformal maps, the Beltrami differentialequation, holomorphic motions and Teichmüller spaces. Where proofs are omitted, references to where they may be found are always given, and the text is clearly illustrated throughout with diagrams, examples,and exercises for the reader., Based on a series of graduate lectures given by Vladimir Markovic at the University of Warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and Teichmüller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Grötzch argument, analytical properties of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichmüller spaces. Where proofs are omitted, references to where they may be found are always given, and the text is clearly illustrated throughout with diagrams, examples, and exercises for the reader., Based on a series of graduate lectures given by Vladimir Markovic at the University of Warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and Teichm ller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Gr tzch argument, analytical properties of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichm ller spaces. Where proofs are omitted, references to where they may be found are always given, and the text is clearly illustrated throughout with diagrams, examples, and exercises for the reader., Aimed at graduates with a grounding in complex analysis, this book provides an accessible introduction to the theory of quasiconformal maps and Teichmüller theory. Assuming some prior familiarity with Riemann surfaces and hyperbolic geometry, the text is illustrated throughout by examples and exercises.

LC Classification NumberQA360