Complex Analysis / Edition 1

Complex Analysis / Edition 1

by THEODORE GAMELIN
     
 

ISBN-10: 0387950699

ISBN-13: 9780387950693

Pub. Date: 05/18/2001

Publisher: Springer New York

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.…  See more details below

Overview

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.

Product Details

ISBN-13:
9780387950693
Publisher:
Springer New York
Publication date:
05/18/2001
Series:
Undergraduate Texts in Mathematics Series
Edition description:
1st ed. 2001. Corr. 2nd printing 2003
Pages:
478
Product dimensions:
1.00(w) x 6.14(h) x 9.21(d)

Table of Contents

* The Complex Plane and Elementary Functions
• Analytic Functions
• Line Integrals and Harmonic Functions
• Complex Integration and Analyticity
• Power Series
• Laurent Series and Isolated Singularities
• The Residue Calculus
• The Logarithmic Integral
• The Schwarz Lemma and Hyperbolic Geometry
• Harmonic Functions and the Reflection Principle
• Conformal Mapping
• Compact Families of Meromorphic Functions
• Approximation Theorems
• Some Special Functions
• The Dirichlet Problem
• Riemann Surfaces

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >