THOMAS F. BANCHOFF
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  • On-Line Mathematics
    • Beyond the Third Dimension >
      • Midpoint Polygons
      • Triple Point Twist
      • In- and Outside the Torus
    • Research: ICM 1978 to ICMS 2002 >
      • The Hypercube: Projections & Slicing >
        • Slicing a Three-Dimensional Cube
        • Slicing a four-dimensional hypercube
        • Orthographic views of the cube and hypercube
      • Complex Function Graphs
      • The Gauss Map, A Dynamical Approach
      • The Veronese & Steiner Surfaces
      • The Flat Torus in the 3-Sphere >
        • In- and Outside the Torus
        • Torus Triptych
        • Interactive Versions of In- and Outside the Torus
      • Appendix
      • Bibliography
      • Related Links
  • Media
    • Lectures
    • Photo Gallery
  • Contact

On-line Mathematics

On-Line Mathematics

Long before the advent of the World-Wide Web, Tom Banchoff was experimenting with ways of using electronic media to enhance mathematical research and aid in mathematical education. Banchoff helped install one of the first mathematics computer labs in the country, and continues to lead the development of innovative geometric software and curricula for undergraduate mathematics courses. He uses computer graphics as an integral part of his own research, and has used mathematical videos for the last 30 years as a means of disseminating his results.

When the World-Wide Web was being developed in the early 1990s, Banchoff immediately saw how it could be applied to mathematical education and research. On a trip to the Geometry Center in 1995, he began a number of web-based projects in an attempt to work out the new paradigms for using this medium effectively. (A number of these early attempts are linked below.)

Banchoff continues to use the Web as a fundamental part of his own work today. Many of his classes are held on line (using course software developed under his direction), and he routinely includes websites for the mathematical events in which he participates. This conference site is one such example, and several more are linked below.


Midpoint Polygons

Thomas F. Banchoff | American Mathematician 

  • Home
  • About
    • Current
    • Exemplary Student Work
    • Best Homework Ever
  • On-Line Mathematics
    • Beyond the Third Dimension >
      • Midpoint Polygons
      • Triple Point Twist
      • In- and Outside the Torus
    • Research: ICM 1978 to ICMS 2002 >
      • The Hypercube: Projections & Slicing >
        • Slicing a Three-Dimensional Cube
        • Slicing a four-dimensional hypercube
        • Orthographic views of the cube and hypercube
      • Complex Function Graphs
      • The Gauss Map, A Dynamical Approach
      • The Veronese & Steiner Surfaces
      • The Flat Torus in the 3-Sphere >
        • In- and Outside the Torus
        • Torus Triptych
        • Interactive Versions of In- and Outside the Torus
      • Appendix
      • Bibliography
      • Related Links
  • Media
    • Lectures
    • Photo Gallery
  • Contact