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         Complex Analysis:     more books (100)
  1. Visual Complex Analysis by Tristan Needham, 1999-02-18
  2. Elementary Real and Complex Analysis (Dover Books on Mathematics) by Georgi E. Shilov, 1996-02-07
  3. Basic Complex Analysis by Jerrold E. Marsden, Michael J. Hoffman, 1998-12-15
  4. Fundamentals of Complex Analysiswith Applications to Engineering,Science, and Mathematics (3rd Edition) by Edward B. Saff, Arthur David Snider, et all 2002-12-31
  5. Complex Analysis for Mathematics and Engineering by John H. Mathews, Russell W. Howell, 2006-01-09
  6. Real and Complex Analysis (Higher Mathematics Series) by Walter Rudin, 1986-05-01
  7. Complex Analysis by Joseph Bak, Donald J. Newman, 1999-06-25
  8. Complex Analysis by Theodore W. Gamelin, 2003-07-17
  9. Complex Analysis (Graduate Texts in Mathematics) by Serge Lang, 2003-07-30
  10. Schaum's Outline of Complex Variables by Murray R Spiegel, 1968-06-01
  11. Introductory Complex Analysis (PBK) by Richard A. Silverman, 1984-05-01
  12. Complex Analysis (Springer Undergraduate Mathematics Series) by John M. Howie, 2007-04-20
  13. Lecture Notes on Complex Analysis by Ivan Francis Wilde, 2006-04-11
  14. A First Course in Complex Analysis by Dennis Zill, 2003-02

1. Complex Analysis
Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.
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. I am also grateful to Professor Pawel Hitczenko of Drexel University , who prepared the nice supplement to Chapter 10 on applications of the Residue Theorem to real integration. 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. Archive Of UW Complex Analysis Seminar
Seminar abstracts starting 1995.
http://www.math.washington.edu/~rohde/seminar/archive.html
Complex Analysis Seminar Archive
  • Aytuna, Aydin, Middle East Technical Institute 5/9/95
  • Berenstein, Carlos, University of Maryland, College Park 6/1/00
  • Bonk, Mario, TU Braunschweig 11/18/99
  • Canton, Alicia, Universidad Autonoma de Madrid 10/12/99
  • Canton, Alicia, Universidad Autonoma de Madrid 10/10/00
  • Chow, Richard, UCLA 6/18/96
  • Cole, Brian, Brown 4/22/97, 4/29/97
  • David, Guy, Universite de Paris-Sud, Orsay 7/17/01
    • Analytic Capacity, Menger curvature and rectifability
  • Deconinck, Bernard, UW 12/7/99
  • DeLillo, Thomas, Wichita State 4/21/98
  • Diedrich, Klas, MSRI and Univ. of Wuppertal, Germany 3/26/96
  • 3. Complex Analysis
    complex analysis. complex analysis. Harold V. McIntosh Departamento de Aplicación de Microcomputadoras, Instituto de Ciencias, Universidad Autónoma de
    http://delta.cs.cinvestav.mx/~mcintosh/comun/complex/complex.html

    4. Présentation
    A synthesis of all modern tools of quantative complex analysis and complex analytic (2) Evolution by Levi form and pseudoconvexity in complex analysis.
    http://www.math.jussieu.fr/projets/ac/Reseau/presentation.htm
    You can download the .tex .dvi or .ps file.
    ANALYSE COMPLEXE ET GEOMETRIE ANALYTIQUE
    (Complex Analysis and Analytic Geometry)
    ANACOGA
    1. Research topic Complex Analysis and Analytic Geometry belong closely together and are one of the few fields in the center of pure mathematics with many applications to other areas of pure mathematics (algebraic geometry, differential geometry, dynamical systems, P.D.E., topology, number theory, etc.) and applied Mathematics (theoritical physics, geophysics, mathematical economy, tomography). The most deep results in all branches of mathematics use complex variables. There exist many results in applied mathematics which could not be discovered without the utilization of complex analysis. A first phase of development in this area lasted until about 1965, when for the first time several powerful quantative theories of the Cauchy-Riemann equations were developed (L -theories of Hörmander and J.J. Kohn/L. Nirenberg, Cauchy-Fantappié kernels of H.Grauert and G. Henkin and others) and the concepts of currents, plurisubharmonicity, q -convexity, etc. had been well established. The time between 1965 and 1989 was dominated by developing many refinements of these theories together with the theory of residues, and the foundations of CR-manifolds. Furthermore, the new methods made it possible to go on studying the strong links between geometry and analysis. First important areas of this programme were so-to-speak used as testing fields.

    5. Complex Analysis
    Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    6. Complex Analysis
    Mathematica 4.0 Notebooks to accompany the textbook by John Mathews and Russell Howell.
    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:

    Check out the new Complex Analysis Projects page.

    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 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 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 CHAPTER 4 Section 4.1 Definitions and Basic Theorems for Sequences and Series Section 4.2 Power Series Functions Section 4.3

    7. International Conference On Complex Analysis And Potential Theory
    Kyiv (Kiev) Ukraine; 712 August 2001.
    http://www.imath.kiev.ua/~captconf/
    INTERNATIONAL CONFERENCE ON COMPLEX ANALYSIS AND POTENTIAL THEORY IN KIEV ON 7 - 12 AUGUST 2001
    SECOND ANNOUNCEMENT
    The registration of participants will be held on 7 August at 9.00-19.00 and on 8 August at 9.00-9.30 in the Institute of Mathematics (IM) (the interactive map of Kiev is available at http://www.isgeo.kiev.ua; type "Tereshchenkivs'ka" instead of "Tereshchenkivska" at the streets window on searching of the IM area at this map). Please inform us about your itinerary including the time of arrival and departure, flights or trains and so on.
    Institute of Mathematics (IM) is located in the center of Kiev (new spelling "Kyiv") near the Metro Station "Theatralna". There is a good connection with the Kiev airports "Boryspil" and "Zhulyany" (now it is called "Kyiv") as well as with the main railway Station, which is called "Vokzal", more explicitly:
    from Vokzal two stops by Metro,
    from the airport "Kyiv" by trolley No. 9 or by a special taxi No. 9 to the Tereshchenkivska St., which is the last stop;
    from the airport "Boryspil" by special bus "Polit" to the stop "Metro University" or by Shuttle bus
    The corrected schedule of the Conference is the following. The Opening will be held on 8 August at 9.45 in the Conference Hall of IM. Scientific sessions will be held in three from 10.00 on 8 August till 13.00 on 12 August.

    8. Complex Analysis
    complex analysis
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    9. Complex Analysis
    This disk contains complex analysis software coded in the Mathematica programming language. The examples are described in the text complex analysis for
    http://www.ecs.fullerton.edu/~mathews/complex/Contents.html
    COMPLEX ANALYSIS: Mathematica 4.0 Notebooks
    (c) John H. Mathews, and
    Russell W. Howell, 2000 Complimentary software to accompany our textbook: COMPLEX ANALYSIS: for Mathematics and Engineering,
    3rd Edition, 1997, ISBN: 0-7637-0270-6
    40 Tall Pine Drive, Sudbury, MA 01776
    Tele. (800) 832-0034, FAX: (508) 443-8000
    E-mail: mkt@jbpub.com, http://www.jbpub.com/
    This free software is compliments of the authors.
    mathews@fullerton.edu, howell@westmont.edu Check out the new Complex Analysis Projects page. 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 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

    10. Introduction To Complex Analysis
    Introduction to complex analysis by WWL Chen
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    11. Graphics For Complex Analysis -- Douglas N. Arnold
    GRAPHICS FOR complex analysis. Douglas N. Arnold a collection of graphical demonstrations of concepts in complex analysis which I developed for a course
    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 domain='ima.umn.edu'; document.write('to me by email'); document.write(''); to me by email (arnold(at)ima.umn.edu) 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.

    12. Complex Analysis : Paul Scott : Title Page
    internal.maths.adelaide.edu.au/people/pscott/CA2/c complex analysis Dynamical SystemsThird international conference, devoted to complex function theory, quasiconformal mappings, complex dynamical systems and their applications.
    http://internal.maths.adelaide.edu.au/people/pscott/CA2/
    2959 COMPLEX ANALYSIS
    HTML VERSION
    Complex Analysis notes and interactive quizzes by
    PAUL SCOTT Department of Pure Mathematics, University of Adelaide
    View of River Torrens towards University footbridge CONTENTS
    Last modified Mon, Jul 26, 2004 Number of different
    visitors since 13/12/01 :

    FastCounter by bCentral

    13. Memorial Conference Of Kiyoshi Oka's Centennial Birthday
    Memorial Conference of Kiyoshi Oka's Centennial Birthday. Kyoto, Japan; 30 October 5 November 2001 / Nara, Japan; 68 November 2001.
    http://www.appmath.osaka-wu.ac.jp/~kazuko/oka100/
    Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables, Kyoto/Nara 2001 October 30 - November 5, Kyoto / November 6 - 8, Nara Fifth Announcement The Organizing Committee is pleased to invite you to participate in the Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables, which will be held on October 30 - Nobember 8, 2001 at Kyoto and Nara, JAPAN. Go to Contents
    Go to Japanese Page
    The Organizing Committee consists of the following members: Honorary Chair T. Nishino (Kyushu, E. P.) Kyoto Program (at RIMS, Kyoto University, October 30 - November 5) J. Noguchi (Chair, Tokyo)
    H. Kazama (Kyushu)
    M. Furushima (Kumamoto)
    E. Bedford (Indiana)
    J. E. Fornaess (Michigan)
    Y. -T. Siu (Harvard) H. Fujimoto (Kanazawa)
    T. Ueda (Kyoto)
    H. Tsuji (T. I. T.)
    K. Diederich (Wuppertal)
    N. Sibony (Paris-Sud) T. Ohsawa (Nagoya) K. Miyajima (Kagoshima) A. Kodama (Kanazawa) J. -P. Demailly (Grenoble) B. Shiffman (Johns Hopkins) Nara Program (at Nara Women's University, November 6 - 8) H. Yamaguchi (Chair, Nara W.)

    14. Mathematics Archives - Topics In Mathematics - Complex Analysis
    complex analysis AMS's Materials Organized by Mathematical Subject Classification Functions of a Complex Variable ADD.
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    15. MATH 502, Spring '97
    complex analysis in One Variable; by Raghavan Narasimhan; Birkhaüser, 1985. Lecture schedule for complex analysis. Lecture notes on complex analysis PDF,
    http://www.ima.umn.edu/~arnold/502.s97/Overview.html
    MATH 502: Analysis II
    Spring 1997, MWF 1:25-2:15
    Instructor Douglas N. Arnold Contact info: 332 McAllister Building, telephone: 865-0246, email: dna@psu.edu Office hours : 2:15-3:15 MF; 10:00-11:00 W; available at other times by appointment. WWW Page : http://www.math.psu.edu/~arnold/502.html Homework
    Part I: Complex Analysis
    Textbook: Functions of One Complex Variable; second edition ; by John B. Conway; Springer-Verlag, 1978. ISBN 0-387-90328-3. Other recommended texts: Complex Analysis; by Lars V. Alfors; McGraw-Hill, 1966.
    Complex Analysis in One Variable Lecture schedule for complex analysis Lecture notes on complex analysis: PDF PostScript DVI TeX source ... Hour Exam with answers Graphics for complex analysis
    Part II: Functional Analysis
    Recommended references (on reserve in library):
    A Course in Functional Analysis, second edition; by John B. Conway; Springer-Verlag, 1990. Analysis Now; by Gert K. Pedersen; Springer-Verlag, 1989. Functional Analysis; second edition; by Walter Rudin, McGraw Hill, 1991. Essential Results of Functional Analysis; by Robert J. Zimmer; University of Chicago Press, 1990.

    16. Complex Analysis Home Page
    complex analysis Mailing List (in Japanese) (April 22, 1999) Gallery (Nov. 13, 1999) Several Complex Variables Home Page in Japan
    http://www.math.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

    17. Complex Analysis, Numerical Analysis
    Numerical Analysis, Numerical Methods, Numerical Method, complex analysis Complex Variables, Complex Variable
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    18. Mathematics Archives - Topics In Mathematics - Complex Analysis
    KEYWORDS Preprints; Graphics for complex analysis by Douglas N. Arnold KEYWORDS Lecture Notes, complex analysis, Functional Analysis; Poles and Zeros
    http://archives.math.utk.edu/topics/complexAnalysis.html
    Topics in Mathematics Complex Analysis

    19. "Visual Complex Analysis" Home Page
    Visual complex analysis
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    20. COMPLEX ANALYSIS: F(Z) Files
    complex analysis Maple Worksheets complex analysis Mathematica Notebooks. Prof. John H. Mathews Department of Mathematics
    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.
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