Complex Analysis | 1st edition

by Theodore W. Gamelin

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Publisher	Springer Nature
Language	English
Book type	Paperback
Utgiven	2001-06-23
Edition	1
More editions	2001/0
Pages	480
ISBN	9780387950693
Kategori(er)	Mathematics & Statistics ↳ Mathematics

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Used within following courses

MATM12

Description

An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis.

Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

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