Math 4530
Introduction to
Curves and Surfaces
Spring term, 2001

Maple Stuff

Send e-mail to : Professor Korevaar

Links:
Math 4530-1 home page
Professor Korevaar's home page
Department of Mathematics




Computing Gauss curvature from the first fundamental form:
   christoffel.pdf
   christoffel.mws


Procedures for computing Weirestrass-Enneper representations of minimal surfaces:
   WEreps.pdf
   WEreps.mws

Notes on conformal mappings, Wednesday April 11
   conformal.pdf
   conformal1.mws


Some great sites for minimal surfaces and surfaces on constant mean curvature:

The center for Geometry, Analysis, Numerics and Graphics, at the University of Massachusetts Amherst:
   http://www.gang.umass.edu
     http://www.gang.umass.edu/cmc/ Constant mean curvature surfaces
     http://www.gang.umass.edu/minimal/ minimal surfaces
The Scientific Graphics Project at the Math Sciences Research Institute, Berkelely California:
   http://www.msri.org/publications/sgp/SGP


Procedures for computing first and second fundamental forms, the matrix for the negative Gauss map, Gauss and mean curvature, illustrated for the Enneper surface:
   compcurv.pdf
   compcurv.mws


Profile curves of the Delaunay surface family:
   delaunay.pdf
   delaunay.mws


Pictures of the catnoid, related to our discussion of minimal vs. stable:
   catenoid.pdf
   catenoid.mws


4530curve1.mws Maple worksheet document for computing planar curves with prescribed curvature. This can be saved and then opened from Maple.
4530curve1.pdf Portable Document Format version of the curve file; you can look at this from your browser if you have Adobe Acrobat Reader. If you don't have reader, go get a free download by visiting the University site uwebresources.html.