Complex Analysis

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Focusing on the classical theory of functions of a complex variable, this text offers a clear and geometrically oriented approach to complex analysis, minimizing topological challenges. It begins with Cauchy's integral formula in a straightforward context, leading to an exploration of holomorphic functions. The content progresses to conformal mappings, Riemann's mapping theorem, and analytic functions on Riemann surfaces, culminating in the Riemann-Roch and Abel theorems. Richly illustrated with examples and problem sets, it serves as an engaging resource for advanced students.