Complex Analysis

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This comprehensive introduction to complex analysis is structured into sixteen chapters, catering to upper-division undergraduates and PhD candidates. It covers essential topics such as Julia sets, the Mandelbrot set, Dirichlet series, and the uniformization theorem for Riemann surfaces, emphasizing spherical, Euclidean, and hyperbolic geometries. The book features a range of exercises, from simple to challenging, to reinforce learning. It draws on the author's extensive teaching experience at prestigious institutions, ensuring a thorough grounding in complex analysis for students.