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hahn l epstein b classical complex analysis 1996

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Textbook in PDF format Classical Complex Analysis is a text that has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses on the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mobius transformations are presented with emphasis on the geometric aspect, and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Functions, Analytic Continuation, Normal Families, Conformal Mapping, and Harmonic Functions. Complex Numbers Power Series Analytic Functions The Cauchy Theorem Singularities and Residues The Maximum Modulus Principle Entire and Meromorphic Functions Analytic Continuation Normal Families Conformal Mapping Harmonic Functions The Picard Theorems Appendix: Unsolved Problems Index

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Hahn L., Epstein B. Classical Complex Analysis 1996.pdf 12.0 MB

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hahn l epstein b classical complex analysis 1996