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CAS MA 563 Introduction to Differential Geometry Boston University

CAS MA 563 Introduction to Differential Geometry Boston University

Study of local properties of curves and surfaces in the three-dimensional Euclidean space; curvature, torsion, Frenet equations, tangent and normal planes; first and second fundamental form; developable surfaces, principal, mean and Gaussian curvature; vector fields, covariant differentiation, geodesics, surfaces of constant curvature.

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