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Complex Analysis Project

This web page provides support and information regarding a CCLI grant funded by the National Science Foundation to write a Complex Analysis textbook accompanied by software. The following are collaborators on this project.

  • Mike Brilleslyper, United States Air Force Academy
  • Dov Chelst, ICMA Consulting Services
  • Michael Dorff, Brigham Young University. Home page is here.
  • Jane McDougall, Colorado College
  • Jim Rolf, United States Air Force Academy. Home page is here.
  • Rich Stankewitz, Ball State University
  • Beth Schaubroeck, United States Air Force Academy
  • Ken Stephenson, University of Tennessee at Knoxville. Homepage is here.
  • Grant proposal

    1. Here's the proposal that has been accepted by the NSF.

     

    Textbook materials and resources

    1. LaTeX header file (updated 7/10/08).
    2. Introductory ideas (i.e. Chapter 0) are here (updated 7/9/08, 09:54).
    3. Minimal surfaces chapter by Michael Dorff.
    4. Dov's stuff is here and here.

    Software

    BlaschkeTool v 0.2 is an applet to visualize the Blaschke products and underlying Moebius transformations. Download a .zip file here and run it from your computer. Version history is here. updated 12/14/07
    CirclePack is an application to generate circle packings.  
    Complex IterTool v 1.3 is a java applet to iterate complex-valued functions using both polar and euclidean seed values. Download a .zip file here (with menu bar) or here (without menubar) if you wish to run this from your computer. Version history is here. updated 9/17/10
    ComplexTool v 5.4 is a java applet designed to help students understand how a complex function transforms regions. Students have a choice between no grid, a polar grid, and a rectangular grid, as well as the ability to sketch on the domain and see the resulting transformation in the range. If you wish to run this from your compute, download a .zip file (with menu bar) here. Application version is here Version history is here. updated 9/26/11
    Complex NewtTool v 2.5 is an applet to visual the complex-valued Newton's method and to graph the basins of attraction. Download a .zip file here (with menu bar) and run it from your computer. Version history is here. updated 5/4/12
    Complex VecTool v 0.2 is an applet to graph complex vector fields. Download a .zip file here and run it from your computer. Version history is here. updated 2/05/10
    Cubic Polynomial Complex Newton Method v 2.0 is an applet to visualize the complex-valued Newton's method applied to z(z-1)(z-a) and to graph the basins of attraction. Download a .zip file of the application here. Download a .zip file of this applet with menu bar here or without menu bar here. Version history is here. updated 2/14/16
    DiffGeomTool v 1.1 Graphs parametric surfaces, tangent planes, tangent and normal vectors and curves derived from the parametric surface. Download a .zip file here if you wish to run applet on your computer, a PC version (and 3d libraries) is here and a Mac/Linux version is here. Version history is here. updated 5/3/10
    FlowTool v 2.3 illustrates fluid flow on various regions with user supplied sources/sinks. This is very much a beta version. Download a .zip file here if you wish to run applet on your computer. Version history is here. updated 2/10/10
    FractTool v 2.8 is an applet to visualize Mandelbrot and Julia sets based on various kinds of complex functions. Download a .zip file here (without menu bar) or here (with menu bar) and run it from your computer. Version history is here. updated 4/14/10
    Global Complex Iteration for Polynomials v 1.2 is an applet to visualize the Julia sets of various complex polynomials supplied by user. Download a .zip file here (without menu bar) or here (with menu bar) and run it from your computer. Version history is here. updated 8/16/10
    Hypergeometric Zeros v 0.1 is an applet to visualize Mandelbrot and Julia sets based on various kinds of complex functions. Download a .zip file here and run it from your computer. Version history is here. updated11/17/08
    Lin ComboTool v 1.0 is an applet to visualize the famous Dorffgon formed by linear combinations of harmonic mappings to polygons. Download a .zip file here (without menu bar) or here (with menu bar) and run it from your computer. Download a .zip file Version history is here. updated 7/28/09
    Mandelbrot Set Builder v 1.2 is an applet to construct the Mandelbrot set via mouse clicks and drags. Download a .zip file here and run it from your computer. Version history is here. updated 5/30/12
    MinSurfTool v 2.3 is an applet to visualize minimal surfaces. If you wish to run the applet on your computer, download a PC version (and 3d libraries) here or a Mac/Linux version here. Version history is here. updated 10/28/11
    PolyTool v. 1.0 is an applet to visualize harmonic mappings to polygons. Download a .zip file here and run it from your computer. Version history is here. updated 3/9/10
    Real IterTool v 1.3 is an applet to iterate real valued functions. Download a .zip file here (with menu bar) or here (without menu bar) and run it from your computer. Version history is here. updated 9/15/10
    Real NewtTool v 1.3 is an applet to visual the real-valued Newton's method and to graph the basins of attraction. Download a .zip file here (without menu bar) or here (with menu bar) and run it from your computer. Version history is here. updated 2/18/10
    SchwarzTool v 0.3 is an applet to visualize the Schwarzian with similar functionality to ComplexTool. Download a .zip file here and run it from your computer. Version history is here. updated 12/07/07
    ShearTool v 1.1 is an applet to help student visual shears. Download a .zip file applet or application and run it from your computer. Older version 0.5 is here. Version history is here. updated 6/13/12
    StarTool v 0.3 is an applet to visualize harmonic mappings to star polygons. This is beta version. Download a .zip file here and run it from your computer. Version history is here. updated 2/5/09