Ideal for a first course in complex analysis, this book can be used
either as a classroom text or for independent study. Written at a
level accessible to advanced undergraduates and beginning graduate
students, the book is suitable for readers acquainted with advanced
calculus or introductory real analysis. The treatment goes beyond
the standard material of power series, Cauchy's theorem, residues,
conformal mapping, and harmonic functions by including accessible
discussions of intriguing topics that are uncommon in a book at
this level. The flexibility afforded by the supplementary topics
and applications makes the book adaptable either to a short,
one-term course or to a comprehensive, full-year course. Detailed
solutions of the exercises both serve as models for students and
facilitate independent study. Supplementary exercises, not solved
in the book, provide an additional teaching tool. This second
edition has been painstakingly revised by the author's son, himself
an award-winning mathematical expositor.
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