Math @ Duke
Publications [#296271] of Harrison Potter
- Harrison Potter, On Conformal Mappings and Vector Fields,
OhioLINK Electronic Theses and Dissertations Center
(May, 2008) [view.cgi]
(last updated on 2016/02/14)
We seek to extend the applicability of the tools of complex analysis that have
been developed to deal with problems in two-dimensional harmonic field theory.
In order to ease the reader who has only a basic understanding of complex analysis
into a working knowledge of its relevant applications to field theory, this material
is introduced through the use of vector fields as common ground. Opportunities
for using the mathematical tools being developed to solve physical problems are
also highlighted by examples in order to aid comprehension and foster intuition.
Established techniques used in solving problems involving point sources are then
generalized to handle those involving interval sources.
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