This is a new, revised third edition of Serge Lang's ComplexAnalysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysisis suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course.Serge Lang is the author of 'Complex Analysis (Graduate Texts in Mathematics)', published 1995 under ISBN 9780387978864 and ISBN 0387978860.
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