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University of South Florida

1. Purcell, Andrew. Analysis of quasiconformal maps in Rn.

Degree: 2006, University of South Florida

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.

Subjects/Keywords: Euclidean spaces; Bounded distortion; Moduli of curve families; Dilation; Absolute continuity on lines; Jacobian; American Studies; Arts and Humanities

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Purcell, A. (2006). Analysis of quasiconformal maps in Rn. (Thesis). University of South Florida. Retrieved from https://scholarcommons.usf.edu/etd/2663

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Purcell, Andrew. “Analysis of quasiconformal maps in Rn.” 2006. Thesis, University of South Florida. Accessed April 11, 2021. https://scholarcommons.usf.edu/etd/2663.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Purcell, Andrew. “Analysis of quasiconformal maps in Rn.” 2006. Web. 11 Apr 2021.

Vancouver:

Purcell A. Analysis of quasiconformal maps in Rn. [Internet] [Thesis]. University of South Florida; 2006. [cited 2021 Apr 11]. Available from: https://scholarcommons.usf.edu/etd/2663.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Purcell A. Analysis of quasiconformal maps in Rn. [Thesis]. University of South Florida; 2006. Available from: https://scholarcommons.usf.edu/etd/2663

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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