Curves in the plane and Euclidean space, moving frames, surfaces in Euclidean space, orientability of surfaces; Gaussian and mean curvatures; surfaces of revolution, ruled surfaces, minimal surfaces, special curves on surfaces, "Theorema Egregium"; the intrinsic geometry of surfaces.
Text: Elementary Differential Geometry, First Edition, by Andrew Pressley, Springer Undergraduate Mathematics Series, ISBN 1-85233152-6 (2001)
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Last modified: 2 December 2009