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A concise course in complex analysis and Riemann surfaces
gauss.math.yale.eduChapter 1. From ito z: the basics of complex analysis 1 1. The field of complex numbers 1 2. Differentiability and conformality 3 3. M¨obius transforms 7 4. Integration 12 5. Harmonic functions 19 6. The winding number 21 7. Problems 24 Chapter 2. From zto the Riemann mapping theorem: some finer points of basic complex analysis 27 1.