Im planning on taking a course on classical differential geometry next term. This is the outline:(adsbygoogle = window.adsbygoogle || []).push({});

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!

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# Geometry Classical and modern differential geometry

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