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This text is an attempt to cover some of the salient features of variable complex function theory. The approach is analytical, as opposed to geometric, but the methods of the three principal schools (Cauchy, Riemann and Weierstrass) are developed. The book goes into several topics deeply (eg, convergence theory and plane topology) and chapter notes give the sources of the results, trace lines of subsequent development, make connections with other topics, and offer suggestions for further reading. These notes are keyed to a bibliography of over 1300 books and papers.
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