Complex Analysis

by Theodore W. Gamelin

* 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

Genres: Mathematics, Textbooks, Nonfiction

Kindle Edition

First published May 18, 2001

Reviews

[Daniel Wright · Rating 4 out of 5]

Solid run-through of the basics of complex analysis. Very useful as a reference and as a text for a first serious introduction to the subject.

[Lucas · Rating 3 out of 5]

Good pacing and useful examples, but occasionally uses new concepts without introducing them at all, can be painfully dry, and could really use more figures

[Leon · Rating 4 out of 5]

A great balance between readability and depth. Topics are motivated well and organized sensibly. Good examples. Nice cover.

This is the kind of book you can start a few days before your exam after a semester of not going to class and still grasp enough to do well. Fantastic for an irresponsible undergraduate.

[Phillip Zhou · Rating 1 out of 5]

This is one of my least favorite math textbooks I have used in any class. It is not explicit enough, its notation is confusing and or inconsistent in some places, and it does not treat the subject with enough rigor. All of this combined to making this textbook very frustrating to use. Consider using Shakarchi and Stein's textbook instead.

[Olof · Rating 3 out of 5]

I feel like this book is more geared towards applications than theory and to its merit is therefore very compact.

Much of the matters concerning convergence and metric space theory is brushed over and not fully explained so a background in metric space theory enables a greater understanding.