Moskowitz (mathematics, City University of New York Graduate Center) explains fundamentals of basic complex analysis and relates them to real analysis. Coverage progresses from integration along a contour and Cauchy's theorem through singularities and conformal mappings. An unusual feature of the book is a short final chapter containing applications of complex analysis to Lie theory. The text is suitable for first-year graduate students. It can also be used for a year-long course for advanced undergraduates, or for a one-semester course concentrating on the first three chapters. Annotation (c) Book News, Inc., Portland, OR (booknews.com)