By Guo-Chun Wen
This publication provides a scientific exposition of the idea of conformal mappings, boundary price difficulties for analytic and harmonic capabilities, and the connection among the 2 matters. it really is appropriate to be used as an undergraduate or graduate point textbook, and workouts are incorporated. the 1st 3 chapters recount life and area of expertise theorems of conformal mappings from easily and multiply attached domain names to straightforward domain names, a few homes of analytic features, harmonic services and schlicht meromorphic capabilities, and representations of conformal mappings. within the closing 3 chapters, the elemental boundary worth difficulties for analytic and harmonic capabilities are mentioned intimately, together with a few new tools and effects acquired by way of the writer. for instance, the Riemann-Hilbert boundary price challenge with piecewise non-stop coefficients in a multiply attached area is roofed in bankruptcy 5, and a few abnormal indirect spinoff difficulties are handled in bankruptcy six.
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