1st Edition

Differential Geometry and Topology of Curves

By Yu Animov Copyright 2001
    216 Pages
    by CRC Press

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    Differential geometry is an actively developing area of modern mathematics. This volume presents a classical approach to the general topics of the geometry of curves, including the theory of curves in n-dimensional Euclidean space. The author investigates problems for special classes of curves and gives the working method used to obtain the conditions for closed polygonal curves. The proof of the Bakel-Werner theorem in conditions of boundedness for curves with periodic curvature and torsion is also presented. This volume also highlights the contributions made by great geometers. past and present, to differential geometry and the topology of curves.

    Depending on Numerical Arguments
    Straight Line Tangent to a Curve
    The Arc Length of a Curve
    Singular Points of Plane Curves
    Frenet Formulas
    Curve Filling a Surface
    Guass's Integral for Two Linked Curves
    Curves With Constant Curvatures in n-Dimensional Euclidean Space


    Yu Animov