- #1
vancouver_water
- 77
- 10
Im planning on taking a course on classical differential geometry next term. This is the outline:
The differential geometry of curves and surfaces in three-dimensional Euclidean space. Mean curvature and Gaussian curvature. Geodesics. Gauss's Theorema Egregium.
The textbook is "differential geometry of curves and surfaces" by do carmo.
I was wondering if anyone knows a good textbook or set of lecture notes that covers this material and modern differential geometry at the same time. Ideally i will work from this textbook for the class and learn the same ideas in modern differential geometry at the same time. Thanks!
The differential geometry of curves and surfaces in three-dimensional Euclidean space. Mean curvature and Gaussian curvature. Geodesics. Gauss's Theorema Egregium.
The textbook is "differential geometry of curves and surfaces" by do carmo.
I was wondering if anyone knows a good textbook or set of lecture notes that covers this material and modern differential geometry at the same time. Ideally i will work from this textbook for the class and learn the same ideas in modern differential geometry at the same time. Thanks!