Week 2: Tangent and normal vectors, curvature of a plane curve; vertices and inflection points of plane curves, four vertex theorem, fundamental theorem of local theory of plane curves. Week 3: Radius and center of curvature, evolute and involute of a plane curve; space curves, principal normal vector, binormal vector, curvature, torsion, Serret-Frenet equations, curvature and torsion for unit speed space curves.

Week 4: Curvature and torsion for non unit speed space curves; geometric meaning of curvature and torsion, fundamental theorem of local theory of space curves, local canonical form of space curves. Week 6: Parametrized surfaces in Euclidean space, regular surfaces as level sets, examples; change of parameters. Week Curves on surfaces; normal and geodesic curvatures. Meusnier's theorem, asymptotic curves; lines of curvature.

Clairaut's relations.

## December, 6 2018

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Quantity Add to basket. This item has been added to your basket View basket Checkout. This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May , , at the University of Illinois at Chicago, in honor of Lawrence Ein's 60th birthday. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, geometry of surfaces, singularity theory, hyper-Kahler geometry, rational points, and rational curves.

## Local and Global Methods in Algebraic Geometry by Nero Budur, Tommaso de Fernex | Waterstones

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