Beginning with fundamental material on complex analysis, this text explores 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 standard proofs. The first part of the text is suitable for an introductory course at the undergraduate level, and the additional topics covered in the second section give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course.
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Beginning with fundamental material on complex analysis, this text explores 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 standard proofs. The first part of the text is suitable for an introductory course at the undergraduate level, and the additional topics covered in the second section give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course.
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