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Complex Analysis

  • Textbook
  • © 2001

Overview

Part of the book series: Undergraduate Texts in Mathematics (UTM)

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About this book

The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters 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 in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain.

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Keywords

Table of contents (16 chapters)

  1. First Part

  2. Second Part

  3. Third Part

Authors and Affiliations

  • Department of Mathematics, UCLA, Los Angeles, USA

    Theodore W. Gamelin

About the author



Bibliographic Information

  • Book Title: Complex Analysis

  • Authors: Theodore W. Gamelin

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-0-387-21607-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2001

  • Hardcover ISBN: 978-0-387-95093-8Published: 18 May 2001

  • Softcover ISBN: 978-0-387-95069-3Published: 18 May 2001

  • eBook ISBN: 978-0-387-21607-2Published: 01 November 2013

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XVIII, 480

  • Topics: Analysis

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