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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Analysis of quasiconformal maps in Rn

Purcell, Andrew 01 June 2006 (has links)
In this thesis, we examine quasiconformal mappings in Rn. We begin by proving basic properties of the modulus of curve families. We then give the geometric, analytic,and metric space definitions of quasiconformal maps and show their equivalence. We conclude with several computational examples.
Euclidean spaces
Bounded distortion
Moduli of curve families
Dilation
Absolute continuity on lines
Jacobian
American Studies
Arts and Humanities

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