- WWW:
- Course information will be online at
www.math.brown.edu/~banchoff/DiffGeoIII
- Course work:
- Weekly homework entered online on the course website
Take-home midterm exam: May 31–June 5
Take-home final exam: July 12–July 19
- Textbook:
- Course reading materials will be available online at the course website.
- Course description:
- This course will compare the extrinsic geometry of
smooth curves and surfaces with that of polygons and polyhedra, primarily in
three- and four-dimensional space, with special attention to examples
where the two cases are different. Topics will include critical
points and curvature, the extrinsic Gauss-Bonnet theorem, Hopf's
degree theorem, tight and taut mappings, linking and self-linking,
multiple points of immersions, singularities of mappings, tangential
and normal Stiefel-Whitney classes and the Whitney Duality Theorem.
- Note:
- The first lecture will be on Thursday April 12.
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