Lectures on Quasiconformal Mappings

E588687

Lectures on Quasiconformal Mappings is a classic mathematical monograph by Lars Ahlfors that systematically develops the theory of quasiconformal mappings in the complex plane and higher dimensions.

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Lectures on Quasiconformal Mappings canonical 1

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Predicate Object
instanceOf mathematics book
monograph
nonfiction book
audience graduate students in mathematics
research mathematicians
author Lars Ahlfors NERFINISHED
contributor Lars Ahlfors NERFINISHED
describedAs classic monograph on quasiconformal mappings
systematic development of quasiconformal mapping theory
field complex analysis
geometric function theory
quasiconformal mappings
genre academic monograph
mathematics textbook
hasInfluenceOn geometric function theory textbooks
modern treatments of quasiconformal mappings
research in Teichmüller theory
subsequent monographs on quasiconformal mappings
hasPart Beltrami equation NERFINISHED
distortion theorems
geometric properties of quasiconformal maps
higher-dimensional quasiconformal mappings
introduction to quasiconformal mappings
modulus of curve families
influencedBy Riemann mapping theorem NERFINISHED
Teichmüller theory
classical complex function theory
language English
mainConcept Beltrami differential equation NERFINISHED
absolute continuity on lines
definition of quasiconformal mapping
dilatation of a mapping
extension of quasiconformal mappings to higher dimensions
geometric characterization of quasiconformal maps
modulus of a family of curves
mathematicalSubjectClassification 30C62
30C75
namedAfter quasiconformal mappings
subject quasiconformal mappings in higher dimensions
quasiconformal mappings in the complex plane
teaches analytic and geometric definitions of quasiconformality
methods using modulus of curve families
techniques for estimating distortion under quasiconformal maps
usedIn graduate courses in complex analysis
graduate courses in geometric function theory
research on quasiconformal mappings

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Lars Ahlfors notableWork Lectures on Quasiconformal Mappings