Download Complex Analysis (Undergraduate Texts in Mathematics) by Theodore Gamelin PDF

By Theodore Gamelin

An creation to complicated research for college students with a few wisdom of advanced numbers from highschool. It comprises 16 chapters, the 1st 11 of that are aimed toward an higher department undergraduate viewers. the rest 5 chapters are designed to accomplish the insurance of all historical past precious for passing PhD qualifying tests in advanced research. subject matters studied contain Julia units and the Mandelbrot set, Dirichlet sequence and the best quantity theorem, and the uniformization theorem for Riemann surfaces, with emphasis put on the 3 geometries: round, euclidean, and hyperbolic. all through, routines diversity from the extremely simple to the difficult. The ebook relies on lectures given via the writer at a number of universities, together with UCLA, Brown college, l. a. Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

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