Internet Resources for Rouche's Theorem

 

  1. Rouche's Theorem  
    Michael Levitin, Math. Dept., Heriot-Watt University, Edinburgh, Scotland  
  2. Rouché's Theorem  
    Eric Weisstein, World of Mathematics, Wolfram Res., Inc., Champaign, IL  
  3. Fast Winding Number Inclusion of a Point in a Polygon  
    Dan Sunday, GeometryAlgorithm.com
  4. Argument Principle  
    Eric Weisstein, World of Mathematics, Wolfram Res., Inc., Champaign, IL  
  5. Winding Number and Topological Explanations  
    Cosma Rohilla Shalizi, Center for Complex Systems, University of Michigan, Ann Arbor, MI  
  6. Non-Zero Winding Number Rule  
    Nan C. Schaller, Computer Sci. Dept., Rochester Institute of Technology, Rochester, NY  
  7. Contour Winding Number  
    Eric Weisstein, World of Mathematics, Wolfram Res., Inc., Champaign, IL  
  8. The winding number  
    L. S. Pontryagin, Math. Dept., Osaka Women's University, Japan  
  9. Winding numbers and twist maps   
    Sven Schmidt,  Institut für Physik, Universität Bremen, Gebäude, Germany  
  10. Exploring Winding Numbers and Homotopies applet  
    Ross Moore, Geometry Center, Math. Dept., Univ. of Minnesota  
  11. Intuition Behind Winding Numbers  
    Ross Moore, Geometry Center, Math. Dept., Univ. of Minnesota  
  12. Rouche's Theorem PDF  
    Michael Levitin, Math. Dept., Heriot-Watt University, Edinburgh, Scotland  
  13. The argument principle PDF  
    James McKernan, Math. Dept., Univ. of California Santa Barbara, CA   
  14. The argument principle PDF  
    Ilpo Laine, Math. Dept., University of Joensuu, Finland  
  15. Homotopy invariance of winding numbers PDF  
    Matthew Ando, Math. Dept., University of Illinois at Urbana-Champaign, IL  
  16. Winding Numbers and Topology PDF  
    Tristan Needham, Math. Dept.,  University of San Francisco, CA  

 

 

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(c) John H. Mathews 2003