Exploring the Curves and Surfaces A Beginner's Guide to Differential Geometry

What is differential geometry? Differential geometry is the study of the shapes of geometric objects. It provides details about the curvature shape and motion of geometric objects. Differential geometry is a powerful tool used in a variety of fields including physics engineering mathematics and computer science. Basic concepts of differential geometry Differential geometry is based on several basic concepts including: Curves: Curves are one-dimensional geometric objects that can be traced out by a point moving through space.Surfaces: Surfaces are two-dimensional geometric objects that can be embedded in three-dimensional space.Manifolds: Manifolds are generalizations of curves and surfaces to higher dimensions????????? ???????? ??????? ????????????? ???????? (differential geometry) ?????? ???????? ??????????? ??????????? ?????? ????? ?????. ??? ???????? ??????????? ????? ?????? ??????? ??????????? ?????? ????????? ???????????. ???????? ???????? ?????? ??????? ????????? ????????????????? ??? ???????????? ??????????? ????? ????????? ????????? ?????? ??????? ????? ???????? ?????? ????????