This book is ideal for a one-semester course for advanced
undergraduate students and first-year graduate students in
mathematics. It is a straightforward and coherent account of a body
of knowledge in complex analysis, from complex numbers to Cauchy's
integral theorems and formulas to more advanced topics such as
automorphism groups, the Schwarz problem in partial differential
equations, and boundary behavior of harmonic functions.The book
covers a wide range of topics, from the most basic complex numbers
to those that underpin current research on some aspects of analysis
and partial differential equations. The novelty of this book lies
in its choice of topics, genesis of presentation, and lucidity of
exposition.
General
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