This is an introductory course on the theory of curves and surfaces in the three dimensional Euclidean space. After developing the theory of curves, we will study the geometry of a surface from both intrinsic and extrinsic point of view. Topics include first and second fundamental forms, various notions of curvature, and the famous Gauss-Bonnet theorem.
|*||Differential geometry of curves and surfaces, by Manfredo P. Do Carmo. Prentice Hall.|
|*||Elementary Differential Geometry, 2nd edition, A. Pressley, Springer, 2010.|
|*||Elementary Differential Geometry, 2nd Edition, by Barrett O'Nell.|