Dreadfully Ever After Sale

Recently Viewed clear list

Original Essays | September 18, 2014

Lin Enger: IMG Knowing vs. Knowing

On a hot July evening years ago, my Toyota Tercel overheated on a flat stretch of highway north of Cedar Rapids, Iowa. A steam geyser shot up from... Continue »

Qualifying orders ship free.
Used Hardcover
Ships in 1 to 3 days
Add to Wishlist
Qty Store Section
1 Burnside Mathematics- Complex Analysis

More copies of this ISBN

Other titles in the International Series in Pure & Applied Mathematics series:

International Series in Pure & Applied Mathematics #0007: Complex Analysis


International Series in Pure & Applied Mathematics #0007: Complex Analysis Cover


Synopses & Reviews

Publisher Comments:

A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.

Table of Contents

Chapter 1: Complex Numbers

1 The Algebra of Complex Numbers

1.1 Arithmetic Operations

1.2 Square Roots

1.3 Justification

1.4 Conjugation, Absolute Value

1.5 Inequalities

2 The Geometric Representation of Complex Numbers

2.1 Geometric Addition and Multiplication

2.2 The Binomial Equation

2.3 Analytic Geometry

2.4 The Spherical Representation

Chapter 2: Complex Functions

1 Introduction to the Concept of Analytic Function

1.1 Limits and Continuity

1.2 Analytic Functions

1.3 Polynomials

1.4 Rational Functions

2 Elementary Theory of Power Series

2.1 Sequences

2.2 Series

2.3 Uniform Coverages

2.4 Power Series

2.5 Abel's Limit Theorem

3 The Exponential and Trigonometric Functions

3.1 The Exponential

3.2 The Trigonometric Functions

3.3 The Periodicity

3.4 The Logarithm

Chapter 3: Analytic Functions as Mappings

1 Elementary Point Set Topology

1.1 Sets and Elements

1.2 Metric Spaces

1.3 Connectedness

1.4 Compactness

1.5 Continuous Functions

1.6 Topological Spaces

2 Conformality

(and more...)

Product Details

Ahlfors, Lars V.
McGraw-Hill Science/Engineering/Math
Ahlfors, Lars V.
Ahlfors Lars
New York :
Mathematical Analysis
Analytic functions
Mathematics - General
Edition Number:
International Series in Pure & Applied Mathematics
Series Volume:
Publication Date:
January 1979
Grade Level:
College/higher education:
9.30x5.98x.98 in. 1.31 lbs.

Other books you might like

  1. Mathematical Thought from Ancient to... New Trade Paper $32.25
  2. Mathematical Thought from Ancient to... Used Trade Paper $10.50
  3. One Hundred Problems Used Trade Paper $4.95
  4. Mathematical Thought from Ancient to... Used Trade Paper $19.00
  5. Nonlinear Waves, Solitons, and Chaos Used Trade Paper $5.95
  6. Sequential Analysis Used Trade Paper $11.50

Related Subjects

Reference » Science Reference » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Complex Analysis
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General

International Series in Pure & Applied Mathematics #0007: Complex Analysis Used Hardcover
0 stars - 0 reviews
$95.00 In Stock
Product details 345 pages McGraw-Hill Science/Engineering/Math - English 9780070006577 Reviews:
  • back to top
Follow us on...

Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.