This book is devoted to the rst acquaintance with the di erential geometry Therefore it begins with the theory of curves in three-dimensional Euclidean spac E. Then the vectorial analysis in E is stated both in Cartesian and curvilinea coordinates, afterward the theory of surfaces in the space E is considered. The newly fashionable approach starting with the concept of a di erentiabl manifold, to my opinion, is not suitable for the introduction to the subject. I this way too many e orts are spent for to assimilate this rather abstract notio and the rather special methods associated with it, while the the essential conten of the subject is postponed for.
