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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Statements (46)

Predicate Object
instanceOf mathematics book ⓘ
monograph ⓘ
nonfiction book ⓘ
audience graduate students in mathematics ⓘ
research mathematicians ⓘ
author Lars Ahlfors ⓘ
contributor Lars Ahlfors ⓘ
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 ⓘ
distortion theorems ⓘ
geometric properties of quasiconformal maps ⓘ
higher-dimensional quasiconformal mappings ⓘ
introduction to quasiconformal mappings ⓘ
modulus of curve families ⓘ
influencedBy Riemann mapping theorem ⓘ
Teichmüller theory ⓘ
classical complex function theory ⓘ
language English ⓘ
mainConcept Beltrami differential equation ⓘ
linked to: Beltrami equation

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 ⓘ