DİFERANSİYEL GEOMETRİ:Düzlemde ve 3 boyutlu uzayda eğriler, Eğrilerin yerel teorisi, Frenet formulleri, Yüzeyler, Yüzey ve eğrilerin diferansiyel sabitleri, Yüzeylerin yerel ve global teorisi.
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| ELEMENTARY
DIFFERENTIAL GEOMETRY:Curves in plane and 3-space, the
local theory of curves, Serret-Frenet formulas. Closed curves,
isoperimetric inequality and four-vertex theorem. Surfaces, first
and second fundamental forms. Geometry of Gauss map. Structure
equations. Theorema Egregium. Formulation with differential forms.
Gauss-Bonnet theorem. Intrinsic and extrinsic geometry of surfaces.
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