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         Complex Analysis:     more books (100)
  1. Elementary Real and Complex Analysis (Dover Books on Mathematics) by Georgi E. Shilov, 1996-02-07
  2. Visual Complex Analysis by Tristan Needham, 1999-02-18
  3. Introductory Complex Analysis (PBK) by Richard A. Silverman, 1984-05-01
  4. Complex Analysis (Princeton Lectures in Analysis) by Elias M. Stein, Rami Shakarchi, 2003-04-07
  5. Real and Complex Analysis (International Series in Pure and Applied Mathematics) by Walter Rudin, 1986-05-01
  6. Schaum's Outline of Complex Variables, 2ed (Schaum's Outline Series) by Murray Spiegel, Seymour Lipschutz, et all 2009-05-20
  7. Complex Analysis by Theodore W. Gamelin, 2001-05-18
  8. Complex Analysis (Graduate Texts in Mathematics) by Serge Lang, 1998-12-07
  9. Fundamentals of Complex Analysiswith Applications to Engineering,Science, and Mathematics (3rd Edition) by Edward B. Saff, Arthur David Snider, 2003-01-10
  10. Complex Analysis through Examples and Exercises (Texts in the Mathematical Sciences) by E. Pap, 2010-11-02
  11. Basic Complex Analysis by Jerrold E. Marsden, Michael J. Hoffman, 1998-12-15
  12. Structural Analysis of Complex Networks
  13. Complex Analysis for Mathematics and Engineering by John H. Mathews, Russell W. Howell, 2006-01-09
  14. A First Course in Complex Analysis With Applications (Jones and Bartlett Publishers Series in Mathematics) by Dennis Zill, Patrick Shanahan, 2008-12-31

1. Complex Analysis
Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.Category Science Math Publications Online Texts......complex analysis. by George Cain. (c)Copyright 1999, 2001 by George Cain. All rightsreserved. This is a textbook for an introductory course in complex analysis.
http://www.math.gatech.edu/~cain/winter99/complex.html
Complex Analysis
by
George Cain
This is a textbook for an introductory course in complex analysis. It has been used for our undergraduate complex analysis course here at Georgia Tech and at a few other places that I know of. I owe a special debt of gratitude to Professor Matthias Beck of SUNY Binghamton who used the book in his class at Binghamton and found many errors and made many good suggestions for changes and additions to the book. I thank him very much. I have corrected the errors and made some changes. More extensive revisons will come later. The notes are available as Adobe Acrobat documents. If you do not have an Adobe Acrobat Reader, you may down-load a copy, free of charge, from Adobe
Title page and Table of Contents
Table of Contents
Chapter One Complex Numbers
1.1 Introduction
1.2 Geometry
1.3 Polar coordinates Chapter Two Complex Functions
2.1 Functions of a real variable
2.2 Functions of a complex variable
2.3 Derivatives Chapter Three Elementary Functions
3.1 Introduction

2. Mathematics Archives - Topics In Mathematics - Complex Analysis
KEYWORDS Lecture Notes, complex analysis, Functional Analysis. Poles and Zeros
http://archives.math.utk.edu/topics/complexAnalysis.html
Topics in Mathematics Complex Analysis

3. Complex Analysis
Mathematica 4.0 Notebooks to accompany the textbook by John Mathews and Russell HowellCategory Science Math Analysis Complex Variable......complex analysis Mathematica 4.0 Notebooks (c) John H. Mathews, and RussellW. Howell, 2000 Complimentary software to accompany our textbook CONTENTS.
http://www.ecs.fullerton.edu/~mathews/c2000/
COMPLEX ANALYSIS: Mathematica 4.0 Notebooks
(c) John H. Mathews, and
Russell W. Howell, 2000

Complimentary software to accompany our textbook:
CONTENTS
CHAPTER 1 COMPLEX NUMBERS
Section 1.1 The Origin of Complex Numbers
Section 1.2 The Algebra of Complex Numbers
Section 1.3 The Geometry of Complex Numbers
Section 1.4 The Geometry of Complex Numbers, Continued
Section 1.5 The Algebra of Complex Numbers, Revisited
Section 1.6 The Topology of Complex Numbers Get Chapter 1 CHAPTER 2 COMPLEX FUNCTIONS Section 2.1 Functions of a Complex Variable Section 2.2 Transformations and Linear Mappings Section 2.3 The Mappings w = z n and w = z 1/n Section 2.4 Limits and Continuity Section 2.5 Branches of Functions Section 2.6 The Reciprocal Transformation w = 1/z Get Chapter 2 CHAPTER 3 ANALYTIC and HARMONIC FUNCTIONS Section 3.1 Differentiable Functions Section 3.2 The Cauchy-Riemann Equations Section 3.3 Analytic Functions and Harmonic Functions Get Chapter 3 CHAPTER 4 Section 4.1 Definitions and Basic Theorems for Sequences and Series Section 4.2

4. "Visual Complex Analysis" Home Page
Visual complex analysis "I can only describe this book as amazing it is not an exaggeration to say that there are gems in every section even familiar facts are frequently explained in refreshingly new ways in this wonderful book.
http://www.usfca.edu/vca
Visual Complex Analysis
Tristan Needham
Oxford University Press
"I can only describe this book as amazing... it is not an exaggeration to say that there are gems in every section ... even familiar facts are frequently explained in refreshingly new ways in this wonderful book. ... many of these exercises are so absorbingly interesting that it is difficult to leave them alone. ... If your budget limits you to buying only one mathematics book in a year then make sure that this is the one that you buy."
MATHEMATICAL GAZETTE
"The pictures in this note were produced directly in PostScript. ... There are other possibilities—one very fine recent example of mathematical graphics at a high level is Needham’s Visual Complex Analysis , which used quite different tools."
Bill Casselman
, NOTICES OF THE AMS
"Too many textbooks neglect the historical foundations; this book is rich with history. The author has taken full advantage of modern computer graphics to provide a variety of lovely and helpful pictures... There is a rich bibliography at the end of the book spanning the gamut of both historical and modern references."
"For the more mathematically inclined who also have an interest in keeping one foot in physical reality, I highly recommend Tristan Needham

5. Complex Analysis Home Page
complex analysis Home Page in Japan Japanese version is here. (Since April 25, 1998, last updated in 05/07/01) Back to the home page of Math.
http://www.kusm.kyoto-u.ac.jp/complex/index_E.html
Complex Analysis Home Page in Japan
Bers embedding
Japanese version is here
(Since April 25, 1998, last updated in 05/07/01) Links (June 04, 1999)
Seminars
(June 02, 1999)
Preprints
(Feb. 28, 1999)
Reference Room (in Japanese)
(April 2, 1998)
Complex Analysis Mailing List (in Japanese)
(April 22, 1999)
Gallery
(Nov. 13, 1999)
Several Complex Variables Home Page in Japan

Back to the home page of Math. Dept.
sugawa@kusm.kyoto-u.ac.jp

6. Complex Analysis Home Page
complex analysis Home Page in Japan Japanese version is here. Welcome to our site! You are our th guest. (Since April 25, 1998, last updated in 28 Nov 2002)
http://www.cajpn.org/index_E.htm
Complex Analysis Home Page in Japan
Bers embedding
Japanese version is here
Welcome to our site! You are our -th guest. (Since April 25, 1998, last updated in 02 Mar 2003) Links (28 Nov 2002)
Seminars
(30 Jun 2002)
Preprints
(16 Jul 2002)
Reference Room (in Japanese)
(30 Sep 2001)
Complex Analysis Mailing List (in Japanese)
(30 Sep 2001)
Gallery
(03 Jul 2002)
Several Complex Variables Home Page in Japan

Maintenance group: www@cajpn.org

7. Graphics For Complex Analysis -- Douglas N. Arnold
GRAPHICS FOR complex analysis. Douglas N. Arnold.
http://www.ima.umn.edu/~arnold/complex.html
(animated GIF version)
GRAPHICS FOR COMPLEX ANALYSIS
Douglas N. Arnold
This is a collection of graphical demonstrations of concepts in complex analysis which I developed for a course I gave on that subject during the spring semester of 1997. (For graphical demonstrations of calculus concepts see my page on Graphics for the calculus classroom .) Please send any feedback concerning this page to me by email The most common method of visualizing a complex map is to show the image under the map of a set of curves, e.g., a set of line segments of constant real and/or imaginary part (a Cartesian grid), or a set of concentric circles and spokes (a polar grid). A weakness of this approach is that it can be difficult or impossible to infer which points of the original curves are mapped to which points of the final images. The graphics on this page use two techniques to overcome this problem. First, most are animated so that the original curves are continuously deformed into the image curves, and the eye can follow which points move where. Second, I use colors to distinguish different points and curves. Viewing instructions.

8. Graphics For Complex Analysis Douglas N. Arnold
GRAPHICS FOR complex analysis This is a collection of graphical demonstrations of concepts in complex analysis which I developed for a course I gave on that subject during the spring semester of 1997.
http://www.math.psu.edu/dna/complex-j.html

9. Complex Analysis
complex analysis. complex analysis Explorations with F(Z) page. ComplexAnalysis Mathematica 4.1 Notebooks. Maple Power Tools complex analysis.
http://www.ecs.fullerton.edu/~mathews/
Dr. John H. Mathews, Ph. D. Professor of Mathematics California State University Fullerton
Department of Mathematics
P. O. Box 34080
Fullerton, California 92634-9480
Office: McCarthy Hall - MH-182B
Phone: (714) 278-3196
Dept: (714) 278-3631
FAX: (714) 278-3972
e-mail: mathews@fullerton.edu Teaching Spring Semester 2003
Math 130 A Short Course in Calculus, Spring 2003 Math 310 Differential Equations, Spring 2003 Complex Analysis Complex Analysis: for Mathematics and Engineering Typos (1st printing) for Complex Analysis: for Math. and Engr. Typos (2nd printing) for Complex Analysis: for Math. and Engr Complex Analysis: Mathematica 4.1 Notebooks ... Etc. Dr. John H. Mathews, Ph. D. Department of Mathematics California State University Fullerton Fullerton, CA 92834 USA Phone: (714) - 278-3196 Dept: (714) - 278-3631 FAX: (714) - 278-3972 e-mail: mathews@fullerton.edu Return to the CSUF Math. Dept. home page. Revised 2/11/03

10. Websites Related To "Visual Complex Analysis"
Websites related to Visual complex analysis . Plotting Transformations.Graphics for complex analysis Douglas N. Arnold Penn State
http://www.usfca.edu/vca/websites.html
Websites related to "Visual Complex Analysis"
Plotting Functions of a Complex Variable
George Abdo and Paul Godfrey
Florida Institute of Technology Includes Conformal Maps requiring Möbius and Schwartz-Christoffel Transformations. Graphics for Complex Analysis
Douglas N. Arnold
Penn State A nice collection of animated GIFs illustrating complex mappings. Also available in the form of controllable Java applets Understanding Complex Function Graphs
Tom Banchoff and Davide Cervone
Brown University and The Geometry Center This is a paper published in the Communications in Visual Mathematics . It makes imaginative use of MPEG movies as an aid to visualizing complex graphs in four dimensions. Complex Function Grapher
Andrew Bennett
Kansas State University, Manhattan This mathlet graphs the modular surface of a complex function and adds color to represent the argument. Complex Function Visualization
Frank Farris
Santa Clara University Examples of Prof. Farris's mathematically illuminating approach to visualizing complex mappings by means of colour.

11. COMPLEX ANALYSIS: F(Z) Files
Math Archives Homepage complex analysis F(Z) Files complex analysisMaple Worksheets complex analysis Mathematica Notebooks. Prof.
http://archives.math.utk.edu/software/msdos/complex.variables/complex_analysis/.
COMPLEX ANALYSIS: F(Z) Files
COMPLEX ANALYSIS: Maple Worksheets
COMPLEX ANALYSIS: Mathematica Notebooks Prof. John H. Mathews
Department of Mathematics
California State University Fullerton
Fullerton, CA 92634
E-mail: mathews@fullerton.edu
Prof. Russell W. Howell
Westmont College
Santa Barbara, CA 93108
E-mail: howell@westmont.edu
Complimentary software to accompany the textbook: 3rd Ed, 1997, ISBN: 0-7637-0270-6 Jones and Bartlett Publishers, Inc. You need to use F(Z) - The Complex Variables Program, Maple or Mathematica to run these files. Chapter Headings:
  • Complex Numbers
  • Complex Functions
  • Analytic and Harmonic Functions
  • Sequences, Series, and Julia and Mandelbrot Sets
  • Elementary Function
  • Complex Integration
  • Taylor and Laurent Series
  • Residue Theory
  • Conformal Mapping
  • Applications of Harmonic Functions
  • Fourier Series and the Laplace Transform You can copy this software for courses using the text mentioned above at your institution.
  • 12. The Math Forum - Math Library - Complex Analysis
    30 Functions of a complex variable Complex variables studies the effect of assuming differentiability of functions defined on complex numbers. of Riemann surfaces into R^3. Global complex analysis is differential topology; lowdim manifolds which are groups
    http://mathforum.com/library/topics/complex_a
    Browse and Search the Library
    Home
    Math Topics Analysis : Complex Analysis

    Library Home
    Search Full Table of Contents Suggest a Link ... Library Help
    Selected Sites (see also All Sites in this category
  • Resources for the Teaching of Complex Analysis - Paul Fishback
    The page includes: sample F(z) for Windows files (downloadable: for each example, an F(z) file is listed along with an MS WORD document describing the F(z) file and its creation in greater detail; a TI-86 program that approximates contour integrals using Gluchoff's average value interpretation; directions for subscribing to CA-TEACH - an unmoderated internet mailing list devoted to the discussion of teaching complex analysis; a brief list of other sites related to the teaching of complex variables; and a list of readings related to the inclusion of technology in a complex variables course. more>>
    All Sites - 16 items found, showing 1 to 16
  • 1997 Linear Analysis Pages - Jonathan Borwein
    Mathematics 419, Linear Analysis (Simon Fraser University). Course information, assignments, extras for enrichment. Classical and applied analysis, special function theory, general analytic knowledge (cardinality, irrationality, complex analysis, continued ...more>>
  • 3D-Filmstrip - Richard Palais
    3D Filmstrip is a mathematical visualization program available via ftp for computers running version 7 or later of MacOS, the Macintosh Operating System. It has algorithms for displaying mathematical objects from many different "categories" (plane and
  • 13. Complex Analysis
    Course notes by Harold V. McIntosh in HTML.Category Science Math Publications Online Texts......next contents Next Contents. complex analysis. Harold V. McIntoshDepartamento de Aplicación de Microcomputadoras, Instituto de
    http://delta.cs.cinvestav.mx/~mcintosh/comun/complex/complex.html
    Next: Contents
    Complex Analysis
    Harold V. McIntosh
    April 5, 2001
    Abstract:

    Microcomputadoras

    14. Complex Analysis Home Page In Japan Is Moved.
    The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set.
    http://www.kusm.kyoto-u.ac.jp/complex/
    Ê£ÁDzòÀϳØHome Page¤Ï5/7¤ò¤â¤Á¤Þ¤·¤ÆÆȼ«¥É¥á¥¤¥ó¤Ë°Üž¤·¤Þ¤·¤¿¡£¿·¤·¤¤URL¤Ï http://www.cajpn.org/

    15. Complex Analysis Home Page In Japan
    The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set.
    http://www.cajpn.org/
    Complex Analysis Home Page
    English version is here
    Bers embedding ¡ÊSince 25 April 1998, ºÇ½ª Æü 02 Mar 2003¡Ë (28 Nov 2002)
    (02 Mar 2003)
    (16 Jul 2002)
    (30 Sep 2001)
    (30 Sep 2001)
    Gallery
    (03 Jul 2002)
    (02 Mar 2003¡Ë
    (09 May 2002¡Ë
    www@cajpn.org

    16. The Math Forum - Math Library - Complex Analysis
    This page contains sites relating to complex analysis. Browse and Searchthe Library Home Math Topics Analysis complex analysis.
    http://mathforum.org/library/topics/complex_a/
    Browse and Search the Library
    Home
    Math Topics Analysis : Complex Analysis

    Library Home
    Search Full Table of Contents Suggest a Link ... Library Help
    Selected Sites (see also All Sites in this category
  • Resources for the Teaching of Complex Analysis - Paul Fishback
    The page includes: sample F(z) for Windows files (downloadable: for each example, an F(z) file is listed along with an MS WORD document describing the F(z) file and its creation in greater detail; a TI-86 program that approximates contour integrals using Gluchoff's average value interpretation; directions for subscribing to CA-TEACH - an unmoderated internet mailing list devoted to the discussion of teaching complex analysis; a brief list of other sites related to the teaching of complex variables; and a list of readings related to the inclusion of technology in a complex variables course. more>>
    All Sites - 16 items found, showing 1 to 16
  • 1997 Linear Analysis Pages - Jonathan Borwein
    Mathematics 419, Linear Analysis (Simon Fraser University). Course information, assignments, extras for enrichment. Classical and applied analysis, special function theory, general analytic knowledge (cardinality, irrationality, complex analysis, continued ...more>>
  • 3D-Filmstrip - Richard Palais
    3D Filmstrip is a mathematical visualization program available via ftp for computers running version 7 or later of MacOS, the Macintosh Operating System. It has algorithms for displaying mathematical objects from many different "categories" (plane and
  • 17. MATH 502, Spring '97
    Course notes and old exams in PDF, PS, DVI, and TeX for a first course in Complex and Functional Analysis.Category Science Math Analysis Complex Variable...... Homework. Part I complex analysis. ISBN 0387-90328-3. Other recommendedtexts complex analysis; by Lars V. Alfors; McGraw-Hill, 1966.
    http://www.math.psu.edu/dna/502.s97/

    18. Maple PowerTools - Complex Analysis PowerTool
    Set of Maple lessons for an undergraduate coursein complex analysis or Complex Variables.
    http://www.mapleapps.com/powertools/complex/complex.shtml

    19. Maple Application Center
    Maple Online Tour. complex analysis, Details, View Document, DownloadWorksheet, Download Code. Complex Numbers and the Lagrangian, A set
    http://www.mapleapps.com/List.asp?CategoryID=5&Category=Complex Analysis

    20. Complex Analysis
    complex analysis. Exercises. Traditional texts for this course includeAhlfors' complex analysis and Lang's book of the same title.
    http://www.math.umn.edu/~garrett/m/complex/
    Complex Analysis
    Notes home garrett@math.umn.edu Traditional texts for this course include Ahlfors' Complex Analysis and Lang's book of the same title. Also useful is the second half of Rudin's Real and Complex Analysis A weakness in the later parts of all these sources is in the treatment of algebraic functions, and of solutions to ordinary differential equations with regular singular points. And some so-called 'special functions' such as the gamma function deserve fuller treatment, especially with an eye to applications in other parts of mathematics. And the ultra-classical aspects of elliptic functions and modular forms deserve a quick and decisive treatment in this context, since all the crucial techniques at this level do really belong to 'complex analysis', as opposed to 'number theory' or anything else. And the connection between the Riemann Hypothesis on the zeta function and error terms in the Prime Number Theorem is hard to ignore, motivating as it did a great deal of work in classical complex analysis. home garrett@math.umn.edu

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