Complex Analysis (Undergraduate Texts in Mathematics) by Theodore W. Gamelin

Complex Analysis (Undergraduate Texts in Mathematics) Author: Theodore W. Gamelin
eBook Title: Complex Analysis (Undergraduate Texts in Mathematics)
ISBN10: 0387950931
ISBN13: 978-0387950938
Language: English
Publisher: Springer; 2001 edition (May 18, 2001)
Category: Science & Math
Subcategory: Mathematics
Size ePub vers.: 1873 kb
Size PDF vers.: 1526 kb
Other formats: cb7, odf, pdf, azw, ibooks, mobi
Rating: 4.7
Votes: 518

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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