By Animov Y.

Differential geometry is an actively constructing region of recent arithmetic. This quantity offers a classical method of the overall issues of the geometry of curves, together with the speculation of curves in n-dimensional Euclidean house. the writer investigates difficulties for unique sessions of curves and offers the operating process used to acquire the stipulations for closed polygonal curves. The facts of the Bakel-Werner theorem in stipulations of boundedness for curves with periodic curvature and torsion can also be offered. This quantity additionally highlights the contributions made by way of nice geometers. prior and current, to differential geometry and the topology of curves.