MATH 348
Differential Geometry of Curves and Surfaces
Fall 2017
Topics
- Curves and surfaces
- Curvature and torsion
- Frenet–Serret formulas
- First and second fundamental forms
- Surface curvature
- Parallel transport and geodesics
- Gauss’s remarkable theorem
- Gauss–Bonnet theorem
Readings
- Andrew Pressley. Elementary Differential Geometry, 2nd edition. Springer, 2010.
Sources
- Course catalogue ↗2026–2027
- MATH 348 DIFFERENTL GEOM CURVES&SURFACE · Reading-list link; contents not retrieved ↗
- Differential Geometry of Curves and Surfaces ↗2017
- Course source ↗
- Selected Pressley sections are required; other sections are optional, as distinguished in the course schedule.