This classic book gives an excellent presentation of topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem. The two quotes above confirm that the book can be successfully used as a text for a class or for self-study.
"synopsis" may belong to another edition of this title.
Text: English, German (translation)
It really is a gem, both in terms of its table of contents and the level of discussion. The exercises also look very good. ----Clifford Earle, Cornell University
This book has a soul and has passion. ----William Abikoff, University of Connecticut
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