Complex analysis is a beautiful subject - perhaps the single most
beautiful; and striking; in mathematics. It presents completely
unforeseen results that are of a dramatic; even magical; nature.
This invaluable book will convey to the student its excitement and
extraordinary character. The exposition is organized in an
especially efficient manner; presenting basic complex analysis in
around 130 pages; with about 50 exercises. The material constantly
relates to and contrasts with that of its sister subject; real
analysis. An unusual feature of this book is a short final chapter
containing applications of complex analysis to Lie theory.Since
much of the content originated in a one-semester course given at
the CUNY Graduate Center; the text will be very suitable for first
year graduate students in mathematics who want to learn the basics
of this important subject. For advanced undergraduates; there is
enough material for a year-long course or; by concentrating on the
first three chapters; for one-semester course.
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