bookUniversity lecture seriesJul 14, 2006Closed access

Lectures on Quasiconformal Mappings

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Abstract

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 Teichm�ller spaces, including the Bers embedding and the Teichm�ller 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…

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Topics & keywords

Keywords
  • Boundary (topology)
  • Mathematics
  • Pure mathematics
  • Quasiconformal mapping
  • Differentiable function
  • Teichmüller space
  • Mathematical analysis
  • Riemann surface
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