Conformal Mapping
by Zeev Nehari · Dover Publications
Classic graduate text whose first four chapters build harmonic functions, analytic functions, the complex integral calculus, and families of analytic functions, then develops conformal mapping of simply and multiply connected domains, bridging the theoretical and computational sides. Almost every other book treats conformal mapping as one chapter of complex analysis; this one is the whole book, self-contained from advanced calculus and designed as a one-year graduate course on the subject.
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