Functional Analysis

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

By Theodore Gamelin

An creation to advanced research for college students with a few wisdom of complicated numbers from highschool. It includes 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 important for passing PhD qualifying assessments in advanced research. subject matters studied contain Julia units and the Mandelbrot set, Dirichlet sequence and the major quantity theorem, and the uniformization theorem for Riemann surfaces, with emphasis put on the 3 geometries: round, euclidean, and hyperbolic. all through, routines variety from the extremely simple to the hard. The booklet is predicated on lectures given through the writer at numerous universities, together with UCLA, Brown collage, los angeles Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

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