(0) items

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Complex Variables Second Edition



Pub. Date:
Dover Publications
List Price: $21.28

Rent Textbook


Buy New Textbook

In Stock Usually Ships in 24-48 Hours



Used Textbook

We're Sorry
Sold Out

More New and Used
from Private Sellers
Starting at $1.91

Questions About This Book?

Why should I rent this book?

Renting is easy, fast, and cheap! Renting from can save you hundreds of dollars compared to the cost of new or used books each semester. At the end of the semester, simply ship the book back to us with a free UPS shipping label! No need to worry about selling it back.

How do rental returns work?

Returning books is as easy as possible. As your rental due date approaches, we will email you several courtesy reminders. When you are ready to return, you can print a free UPS shipping label from our website at any time. Then, just return the book to your UPS driver or any staffed UPS location. You can even use the same box we shipped it in!

What version or edition is this?

This is the 2nd edition with a publication date of 2/16/1999.

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
  • The Rental copy of this book is not guaranteed to include any supplemental materials. You may receive a brand new copy, but typically, only the book itself.
  • The eBook copy of this book is not guaranteed to include any supplemental materials. Typically only the book itself is included.


Hundreds of solved examples, exercises, and applications help students gain a firm understanding of the most important topics in the theory and applications of complex variables. Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, and transform methods. Perfect for undergrads/grad students in science, mathematics, engineering. A three-semester course in calculus is sole prerequisite. 1990 edition. Appendices.

Table of Contents

The complex plane
The complex numbers and the complex plane
A formal view of the complex numbers
Some geometry
Subsets of the plane
Functions and limits
The exponential, logarithm, and trigonometric functions
Line integrals and Green's theorem
Basic properties of analytic functions
Analytic and harmonic functions; the Cauchy-Riemann equations
Flows, fields, and analytic functions
Power series
Cauchy's theorem and Cauchy's formula
The Cauchy-Goursat theorem
Consequences of Cauchy's formula
Isolated singularities
The residue theorem and its application to the evaluation of definite integrals
Analytic functions as mappings
The zeros of an analytic function
The stability of solutions of a system of linear differential equations
Maximum modulus and mean value
Linear fractional transformations
Conformal mapping
Conformal mapping and flows
The Riemann mapping theorem and Schwarz-Christoffel transformations
Analytic and harmonic functions in applications
Harmonic functions
Harmonic functions as solutions to physical problems
Integral representations of harmonic functions
Boundary-value problems
Impulse functions and the Green's function of a domain
Transform methods
The Fourier transform: basic properties
Formulas Relating u and u
The Laplace transform
Applications of the Laplace transform to differential equations
The Z-Transform
The stability of a discrete linear system
The stability of a discrete linear system
A Table of Conformal Mappings
A Table of Laplace Transforms
Solutions to Odd-Numbered Exercises
Table of Contents provided by Publisher. All Rights Reserved.

Please wait while the item is added to your cart...