Complex Analysis / Edition 1

Paperback (Print)
Rent
Rent from BN.com
$14.92
(Save 75%)
Est. Return Date: 04/30/2015
Buy New
Buy New from BN.com
$47.96
Used and New from Other Sellers
Used and New from Other Sellers
from $29.95
Usually ships in 1-2 business days
(Save 50%)
Other sellers (Paperback)
  • All (15) from $29.95   
  • New (9) from $45.09   
  • Used (6) from $29.95   

Overview

The book provides an introduction to complex analysis for students wit h some familiarity with complex numbers from high school. The book con sists of three parts. The first part comprises the basic core of a cou rse in complex analysis for junior and senior undergraduates. The seco nd part includes various more specialized topics as the argument princ iple, the Schwarz lemma and hyperbolic geometry, the Poisson integral, and the Riemann mapping theorem. The third part consists of a selecti on of topics designed to complete the coverage of all background neces sary for passing Ph.D. qualifying exams in complex analysis. Topics se lected 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 challe nging, in all chapters. The book is based on lectures given over the y ears by the author at several places.

Read More Show Less

Product Details

  • ISBN-13: 9780387950693
  • Publisher: Springer New York
  • Publication date: 5/18/2001
  • Series: Undergraduate Texts in Mathematics Series
  • Edition description: 1st ed. 2001. Corr. 2nd printing 2003
  • Edition number: 1
  • Pages: 478
  • Sales rank: 877,601
  • Product dimensions: 1.00 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Preface
Introduction
Ch. I The Complex Plane and Elementary Functions 1
Ch. II Analytic Functions 33
Ch. III Line Integrals and Harmonic Functions 70
Ch. IV Complex Integration and Analyticity 102
Ch. V Power Series 130
Ch. VI Laurent Series and Isolated Singularities 165
Ch. VII The Residue Calculus 195
Ch. VIII The Logarithmic Integral 224
Ch. IX The Schwarz Lemma and Hyperbolic Geometry 260
Ch. X Harmonic Functions and the Reflection Principle 274
Ch. XI Conformal Mapping 289
Ch. XII Compact Families of Meromorphic Functions 315
Ch. XIII Approximation Theorems 342
Ch. XIV Some Special Functions 361
Ch. XV The Dirichlet Problem 390
Ch. XVI Riemann Surfaces 418
Hints and Solutions for Selected Exercises 447
References 469
List of Symbols 471
Index 473
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)